what is equivalent to [tex](3^6)3[/tex]
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS

Answers

Answer 1

For this case we must indicate an expression equivalent to:

[tex](3 ^ 6) ^ 3[/tex]

For properties of powers we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, the above expression can be rewritten as:

[tex](3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}[/tex]

Thus, the resulting expression is: [tex]3^{ 18}[/tex]

Answer:

[tex]3^{ 18}[/tex]

Option D


Related Questions

f(x) =-6x2 - 5x + 4; find f(-2)​

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

I'm assuming "-6x2" is actually "6x^2"

f(x) = -6x^2 - 5x + 4

Plug in -2 for the x's

f(-2) = -6(-2)^2 - 5(-2) +4

f(-2) = -6(2) - 5(-2) + 4

f(-2) = -12 + 10 + 4

f(-2) = -12 + 14

f(-2) = 2

What is the definition of the union of two mathematical sats ,A and B

Answers

Set contain all the elements present in both the sets.

Step-by-step explanation:

Definition:

The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.

Consider, A  and B be the sets.

A =  {1,7,5,6,0}

B = {2,3,4,5,6}

U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}

Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.

Which number line represents all of the values of x for the equation x2 = 25?

Answers

Answer:

x = 5 and x = -5

Step-by-step explanation:

Given x^2 = 25, we take the square root of both sides.  The two solutions are x = 5 and x = -5

Final answer:

The values for x in the equation x2 = 25 are 5 and -5. These solutions are represented on a number line at points 5 and -5.

Explanation:

The equation x2 = 25 can be solved by taking the square root of both sides of the equation. When we take the square root of a number, we get two possibilities: a positive and a negative value, since squaring a number always results in a positive number. Therefore, the values for x in the given equation would be x = 5 and x = -5.

On a number line, these points would be represented at the 5 and -5 positions. Therefore the number line that represents all the values of x for the equation x2 = 25 is the one that includes both -5 and 5. Keep in mind that no other numbers would satisfy the equation x2 = 25.

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A physician prescribes one 0.7 mg tablet of a medication to be taken twice a day for 15 days.
How many total mcg of the medication will the patient have taken after 15 days?

Answers

Answer:

21 mg

Step-by-step explanation:

0.7 × 2 × 15 = 21

Determine whether the following statement is true or false. Explain.
All spheres are similar​

Answers

Answer:

Below.

Step-by-step explanation:

They are all the same shape.

Also, the only parameter of a sphere that can vary is the radius, so they are all similar.

erin is taking part in a play at the community theater the cast and crew ordered T-shirts for all the volunteers the cost of a t-shirt is $8 and the total delivery charges $45 for order if the center has no more than $325 to buy T-shirts how many t-shirts can they buy​

Answers

Answer:

The answer is the second one because it is less than or equal to 35

Answer:

Second one

Step-by-step explanation:

Ben goes to the grocery store at a rate of 7 times a week. How many times would he be expected to
go to the grocery store in 17 weeks?
times
Translate to a proportion:
V
weeks
weeks
times in 17 weeks

Answers

Answer:

hrhehehehrjejehejrjrjr in graduation in a Raha hai tu kya bolata of infectious agents and managers and managers in mmg of the marks the end of your ad on CL ad and I will send it out here

Step-by-step explanation:

bfyhh a ryagdh a child with hai tu ki baat nahin hota ha ha bol de mon iPhone and I will send you a Raha tha u y ok bye uy y ok bye y ok Sharjah United Arab and I have written to occur

Final answer:

Ben goes to the grocery store at a rate of 7 times a week. To find out how many times he goes in 17 weeks, you multiply 7 by 17, which equals 119. Therefore, Ben is expected to go to the grocery store 119 times in 17 weeks.

Explanation:

To calculate how many times Ben goes to the grocery store in 17 weeks, given that he goes at a rate of 7 times a week, we need to multiply the number of weeks by the frequency of his visits per week. The calculation is as follows:

Multiply the number of visits per week by the number of weeks: 7 visits/week  imes 17 weeks. Perform the multiplication: 7  imes 17 = 119. Therefore, Ben is expected to go to the grocery store 119 times in 17 weeks.

As a proportion, this can be represented as:

V
--- =
weeks

7 times/week
-------------- =
1 week

Which can be scaled up to represent the 17 weeks:

119 times
--------------
17 weeks

If a line has a slope of 3/4, what is the
slope of the line perpendicular to the
line?

Answers

The perpendicular of the line is -4/3.

What is perpendicular?

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular sign ⊥ , can be used to visually depict the state of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.

Given a line has a slope of 3/4.

So the slope of the line perpendicular will have the opposite reciprocal as a slope,

That means perpendicular of a line = - reciprocal of slope of the line

perpendicular of a line = - (4/3)

Therefore the perpendicular of the line is -4/3.

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Find a linear function that models the data in the table.

f(x)= *blank* x + *blank*

Answers

Final Answer:

The linear function that models the data in the table is [tex]\( f(x) = 2x + 3 \)[/tex].

Explanation:

To find the linear function, we need two key pieces of information: the slope mn and the y-intercept b. In the given function f(x) = 2x + 3, the coefficient of x (2) represents the slope, and the constant term (3) represents the y-intercept.

The slope m indicates the rate at which the function is changing, and in this case, it is 2. This means that for every unit increase in x, y increases by 2 units. The y-intercept b is the value of y when x is zero, which is 3 in this case. Therefore, the linear function f(x) = 2x + 3 accurately models the relationship between x and y in the given dat x in a linear manner.

In summary, the general form of a linear function is [tex]\(f(x) = mx + b\)[/tex], where m is the slope and b is the y-intercept. The values of m and b can be determined from the data or information provided.

The linear function that models the data in the table is [tex]\(f(x) = \frac{13}{7}x + 1\)[/tex], where x represents the input and f(x) the output.

To find a linear function that models the data in the table, we can use the slope-intercept form of a linear equation: f(x) = mx + b, where m is the slope and b is the y-intercept.

Let's find the slope (m) first using the given data points (-4, -6) and (3, 7):

[tex]\[m = \frac{\text{change in } y}{\text{change in } x} = \frac{7 - (-6)}{3 - (-4)} = \frac{13}{7}.\][/tex]

Now that we have the slope, we can use any point from the table to find the y-intercept (b). Let's use the point (0, 1):

[tex]\[1 = m(0) + b \implies b = 1.\][/tex]

Now, we can write the linear function:

[tex]\[f(x) = \frac{13}{7}x + 1.\][/tex]

So, the linear function that models the data in the table is [tex]\(f(x) = \frac{13}{7}x + 1\)[/tex].

The quotient of d minus 16 and 3 is 4 . Which equation shows this ?

Answers

Answer: d-16/3=4

Step-by-step explanation: thats the equation!

hope it helps please mark brainliest

Final answer:

The equation representing the statement "The quotient of d minus 16 and 3 is 4" is (d - 16) / 3 = 4. By solving the equation, we find that d = 28.

Explanation:

The question asks to find the equation that represents the statement: "The quotient of d minus 16 and 3 is 4." This translates to a mathematical equation by dividing the difference of d and 16 by 3, which equals 4. The equation that shows this relationship is (d - 16) / 3 = 4.

To solve this equation for d, you can follow these steps:

Multiply both sides of the equation by 3 to eliminate the denominator: (d - 16) = 12.

Add 16 to both sides of the equation to solve for d: d = 12 + 16.

This gives you d = 28 as the solution.

Therefore, the equation that accurately represents the given statement is (d - 16) / 3 = 4, and the value of d that satisfies this equation is 28.

A partial
hubcap is shown. Copy and complete the
figure so that the completed hubcap has
rotational symmetry of 90°, 180°, and 270°.​

Answers

Answer:

just complete the whole drawing

Step-by-step explanation:

quinn rolled a regular number cube 42 times. how many times would you predict he rolled a 6?

Answers

Answer:

1/7 so around 7

Step-by-step explanation:

becuase there are 6 numbers and there is a 1/6 chance to get each number and 42/6 is seven so there is a 1/7 chance to get each number.

Answer:

1/7 or 7

Step-by-step explanation:

There are 6 numbers on a number cube and when you divide 42/6 you get 7, so 1/7 should be your answer.


(a) How would you characterize the relationship between money spent on advertising and items sold?
Explain.

(b) Sally uses the function y= 1.6x+ 21.5 to model the situation. What score does the model predict
should be spent in advertising to sell 30 items?

(c) What does the number 21.5 in Part (b) mean in the context of the situation?

Answer:​

Answers

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

[tex]y= 1.6x+ 21.5[/tex]

We put x = 30

[tex]y(30)= 1.6(30)+ 21.5\\y(30) = 69.5[/tex]

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

[tex]y = mx + c[/tex]

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)


17. DIG DEEPER! The houses are identical.

Pls help me answer B and C.
(picture above)​

Answers

Answer:

B: M

C: Side AB is 20ft

C: Perimeter = 96ft

Jim earned $700 this week. This was $20 less than four times the amount he earned last week. Which equation, when solved for x, gives the amount of money Jim earned last week?

Answers

The equation, when solved for x, gives the amount of money Jim earned last week is: 700 = 4x - 20

Solution:

Given that,

Jim earned $700 this week

This was $20 less than four times the amount he earned last week

To find: amount of money Jim earned last week

Let "x" be the amount of money Jim earned last week

From given,

Jim earnings this week = $20 less than four times the amount he earned last week

Therefore,

700 = 4x - 20

Thus the equation is found

If |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units, determine |PQ|. Round your answer to the tenths place, if necessary.

Answers

Answer:

9.4 units.

Step-by-step explanation:

Given information: |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units.

Dilated figure is similar to the original figure. It means the corresponding sides are proportional.

[tex]\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}[/tex]

Substitute the given values.

[tex]\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}[/tex]

Multiply both sides by 17.1.

[tex]\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1[/tex]

[tex]9.4=|PQ|[/tex]

Hence, the measure of |PQ| is 9.4 units.

Which choices are equivalent to the quotient below? Check all that apply. √12/√6

Answers

The expression (√12) / (√6) simplifies to √2 by combining square roots and simplifying the fraction. The final simplified form is √2. Here option A is correct.

Given Expression:

(√12) / (√6)

Step 1: Write as Quotient of Square Roots

(√12) / (√6) can be expressed as √(12/6)

We express the division of square roots as the square root of the division of the radicands.

Step 2: Simplify the Quotient Under the Radical

√(12/6)

To simplify the fraction under the square root, divide the numerator by the denominator:

√(12/6) = √2

Step 3: Write the Answer in Simplified Form

√2

Therefore, the given expression (√12) / (√6) simplifies to √2.

We simplified the expression by combining the two square roots into one using the rule for dividing square roots and then simplified the fraction under the square root to arrive at the final answer, which is √2. Here option A is correct.

The correct option is A and C.

The equivalent choices to the given quotient [tex]\(\frac{\sqrt{12}}{\sqrt{6}}\)[/tex] are A [tex](\(\sqrt{2}\))[/tex] and C [tex](\(\frac{\sqrt{4}}{\sqrt{2}}\))[/tex].

The question shows a math problem asking which choices are equivalent to the given quotient:

[tex]\[ \frac{\sqrt{12}}{\sqrt{6}} \][/tex]

We'll solve this step by step:

1. Simplify the square roots by factoring out squares:

[tex]\[ \sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]

[tex]\[ \sqrt{6} = \sqrt{2 \cdot 3} = \sqrt{2} \cdot \sqrt{3} \][/tex]

2. Write the original quotient with the simplified square roots:

[tex]\[ \frac{\sqrt{12}}{\sqrt{6}} = \frac{2\sqrt{3}}{\sqrt{2} \cdot \sqrt{3}} \][/tex]

3. Cancel out the common terms:

[tex]\[ \frac{2\sqrt{3}}{\sqrt{2} \cdot \sqrt{3}} = \frac{2}{\sqrt{2}} \][/tex]

4. Rationalize the denominator by multiplying the numerator and denominator by [tex]\(\sqrt{2}\)[/tex]:

[tex]\[ \frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{2\sqrt{2}}{2} \][/tex]

5. Simplify the fraction:

[tex]\[ \frac{2\sqrt{2}}{2} = \sqrt{2} \][/tex]

So the simplified quotient is [tex]\(\sqrt{2}\)[/tex]. Now let's check the options in the image to see which ones are equivalent to [tex]\(\sqrt{2}\)[/tex]:

A. [tex]\(\sqrt{2}\)[/tex] - This is the correct simplified form of the given quotient.

B. [tex]\(2\)[/tex] - This is incorrect because it is not the square root of 2.

C. [tex]\(\frac{\sqrt{4}}{\sqrt{2}}\)[/tex] - Since [tex]\(\sqrt{4} = 2\)[/tex], this simplifies to [tex]\(\frac{2}{\sqrt{2}}\)[/tex], which after rationalization becomes [tex]\(\sqrt{2}\)[/tex], so this is also correct.

D. [tex]\(\frac{2}{\sqrt{3}}\)[/tex] - This is incorrect because it does not simplify to [tex]\(\sqrt{2}\)[/tex].

E. [tex]\(\frac{\sqrt{6}}{\sqrt{2}}\)[/tex] - Since [tex]\(\sqrt{6} = \sqrt{2 \cdot 3}\)[/tex], this simplifies to [tex]\(\sqrt{3}\)[/tex], which is incorrect.

F. [tex]\(\frac{\sqrt{6}}{2}\)[/tex] - This does not simplify to [tex]\(\sqrt{2}\)[/tex] and is therefore incorrect.

The correct answer choices are A and C, which are both equivalent to [tex]\(\sqrt{2}\)[/tex].

The complete question is here:

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.b. For what number of posters is the cost the same for both companies? Explain.c. Which company do you think the class should buy posters from? Explain your reasoning.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?

Answers

Answer:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

For Clear Prints:           Cost(p) = 2pFor Sue:                        Cost(p) = 15 + 0.50p

b. For what number of posters is the cost the same for both companies?

10 posters

c. Which company do you think the class should buy posters from?

if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

Clear Print

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Yes, in this case the class  must order the posters from Sue.

What factors influenced your decision?

The budget and the charges of each company/

Explanation:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

Clear prints

Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):

Cost(p) = 2p

Sue

Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:

Cost(p) = 15 + 0.50p

The equations fhat Ichiro could use to calculate the cost for any number of posters, are:

For Clear Prints:   Cost(p) = 2pFor Sue:                Cost(p) = 15 + 0.50p

b. For what number of posters is the cost the same for both companies?

Solve the system: equate both equations:

2p = 15 + 0.50p2p - 0.50p = 151.50p = 15p = 15/1.50p = 10

Conclusion: For 10 posters the cost is the same for both companies.

c. Which company do you think the class should buy posters from?

It depends on the budget and the number of posters desired.

You can calculate the range in which the cost is lower by one company of the other.

You already know that if you are ordering 10 posts, the cost is the same for both companies.

How much is that cost? Compute Cost (10):

Cost(10) = $2(10) = $20

What happens if the number of posters is less or greater than 10.

Solve an inequality:

2p < 15 + 0.50p2p - 0.50p < 151.50p < 15p < 15 /1.50p < 10

Hence,

if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

In this case the decision is driven by the buget.

How may posters can the class order to pay $18?

With Clear Prints:

18 = 2pp = 18 / 2 = 9 posters

With Sue:

18 = 15 + 0.5p0.5p = 18 - 150.5p = 3p = 3 / 0.5p = 6 posters

Then, with a budget of $18, the class should buy posters from Clear Print.

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Repeat the calculations:

For Clear print:

18 + 20 = 2pp = 38 / 2 = 19 posters

For Sue:

18 + 20 = 15 + 0.50p0.50p = 38 - 150.50p = 23p = 23 /0.5 = 46 posters

With a budget of $38 the class can buy more posters from Sue.

What factors influenced your decision?

The budget and the charges are the factors that influence the decision. Once you know the charges from each company, you can calculate the number of posters the class can order from each one, with a given budgent, and then make the best decision (economically speaking).The charges have two components that constitute the total cost: a flat fee (in the case of Sue) and a unit cost (in both cases).

a card is randomly chosen from a standard deck of cards. Find each probability.

Answers

Answer: The probability is 1/52 or .0192.

Step-by-step explanation:

A standard deck of cards has 52 so the probability of picking 1 card would be 1/52.

(a) The probability of drawing a spade is 1/4.

(b) The probability of drawing a face card (jack, queen, or king) is 3/13.

(c) The probability of drawing a red card is 1/2.

(d) The probability of drawing a card that is not an ace is 12/13.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

(a) The probability of drawing a spade.

There are 13 spades in a standard deck of 52 cards, so the probability of drawing a spade is:

P(spade) = 13/52 = 1/4

(b) The probability of drawing a face card (jack, queen, or king).

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck of 52 cards, so the probability of drawing a face card is:

P(face card) = 12/52 = 3/13

(c) The probability of drawing a red card.

There are 26 red cards (13 hearts and 13 diamonds) in a standard deck of 52 cards, so the probability of drawing a red card is:

P(red card) = 26/52 = 1/2

(d) The probability of drawing a card that is not an ace.

There are 48 cards that are not aces in a standard deck of 52 cards (there are 4 aces), so the probability of drawing a card that is not an ace is:

P(not ace) = 48/52 = 12/13

Thus,

(a) The probability of drawing a spade is 1/4.

(b) The probability of drawing a face card (jack, queen, or king) is 3/13.

(c) The probability of drawing a red card is 1/2.

(d) The probability of drawing a card that is not an ace is 12/13.

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The complete question:

A card is randomly chosen from a standard deck of cards. Find each probability.

(a) The probability of drawing a spade.

(b) The probability of drawing a face card (jack, queen, or king).

(d) The probability of drawing a card that is not an ace.

Four laps around the track equals one mile. How many miles does sixteen laps equal?

Answers

16 laps divided by 4 miles equals 4 miles, Therefore, 16 laps is equivalent to 4 miles.

Answer:

It equals 4 miles


Jenna takes a survey of students in her class to determine how many hours they studied for their Math exam. The mean of the responses is 5.6 hours. Which conclusion MUST be true?

A) No one in the class studied more than 5 hours.
B) Every member of the class studied for the exam.
C) At least one person in the class studied 1 hour.
D) At least one person in the class studied more than 5 hours.

Answers

A) No one in the class studied more then 5 hours

Answer:

d

Step-by-step explanation:

trust me

2•2•2•3•3 in exponent form

Answers

Answer:

2^3 * 3^2

Step-by-step explanation:

Step 1:  Convert into exponent form

2 * 2 * 2 * 3 * 3

2^3 * 3^2

Answer:  2^3 * 3^2

2^3 * 3^030-8-14964-0

Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.

Answers

Answer:

y=2^x - 5

Step-by-step explanation:

"- 5" demonstrates a verical shift 5 units down

answer: y=2^x +5
explanation: vertical shifts are outside changes that impact the y value

0.44, 4/9, 0.4445, 44.5 on a number line please

Answers

44.5, 04445, 4/9, 0.44
Greatest to least

What is the slope of the line that passes through point (3,2)
(
3
,
2
)
and point (6,11)
(
6
,
11
)
?

Answers

Answer:

Slope=3

Step-by-step explanation:

Slope=Rise/Run=(11-2)/(6-3)=9/3=3

Answer:

The slope is 3.

Step-by-step explanation:

Use the slope formula.

[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

We use the y-coordinates of the two points as y2 and y1.

We use the x-coordinates of the two points as x2 and x1. x2 goes with y2. x1 goes with y1.

[tex] slope = m = \dfrac{11 - 2}{6 - 3} = \dfrac{9}{3} = 3[/tex]

The slope is 3.

1/3 x 1/2
PLS PSL eellelele

Answers

1/6
explanation:
1 x 1 = 1
2 x 3 = 6
1/6
Hope it helps!

Step-by-step explanation:

1/3 x 1/2

3 x 2=6

so ∴1/3 x 1/2=1/6

14. Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high.
How much taller is Mount Everest?

Answers

Answer:

Mount Everest is taller by 9,688 ft.

Step-by-step explanation:

Find the difference between the heights.

29,028 - 19,340 = 9,688

Step-by-step explanation: Subtract Mt. Kilimanjaro’s height from Mt. Everest’s height: 29,028− 19,340 = 9,688. If you chose b, you did not borrow correctly when subtracting.Thank yousunshinemadison101

can 3,4,7 make a possible right triangle?

Answers

Let's see by using the Pythagorean theorem.

3 and 4 are legs. 3 is the shortest leg.

7 is the hypotenuse.

The theorem states that:

a² + b² = c²

a = 3

b = 4

c = 7

3² + 4² = 7²

9 + 16 = 49

25 = 49 (Incorrect)

So it is not possible for 3,4,7 to be a right triangle.

The numbers 3, 4, and 7 do not satisfy the Pythagorean theorem, as the sum of the squares of 3 and 4 is 25, which does not equal the square of 7 (49). Hence, these numbers cannot form a right triangle.

To determine if the numbers 3, 4, and 7 can form the sides of a right triangle, we use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we would expect the square of the longest side (7) to be equal to the sum of the squares of the other two sides (3 and 4).

Calculating, we have:
32 + 42 = 9 + 16 = 25.
The square of the longest side is 72 = 49.

Since 25 does not equal 49, the sides 3, 4, and 7 do not satisfy the Pythagorean theorem and therefore cannot form a right triangle.

y = -8x2 + 665x – 5754

Answers

Answer:

Is the -8x2 a -8x squared? Because the answer of this problem can be different.

Step-by-step explanation:

find the equation of a line that passes through (-2,4) and (1,-2)

Answers

[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}}\implies \cfrac{-6}{1+2}\implies \cfrac{-6}{3}\implies -2[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-4=-2(x+2) \\\\\\ y-4=-2x-4\implies y = -2x[/tex]

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