why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet ?

Answer:

a = -14

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, divide 5 from both sides:

(5(a + 3))/5 = = (-55)/5

a + 3 = -55/5

a + 3  = -11

Next, fully isolate a by subtracting 3 from both sides:

a + 3 (-3) = -11 (-3)

a = -11 - 3

a = -14

a = -14 is your answer.

~

Final Answer:

In-depth explanation:

Hi! The question is asking us to solve the equation, which is:

[tex]\large\textbf{5(a + 3) = -55}[/tex]

Use the distributive property to simplify the left-hand side:

[tex]\large\textbf{5a + 15 = -55}[/tex]

Subtract 15 from each side:

[tex]\large\textbf{5a = -55 - 15}[/tex]

[tex]\large\textbf{5a = -70}[/tex]

Divide each side by 5:

[tex]\large\textbf{a = -14}[/tex]

[tex]\rule{350}{1}[/tex]

To calculate the radius(r) from the semicircle's perimeter(P), we rearrange the formula P = πr + 2r to r = P / (π + 2). Substituting 15.42 for P, the radius is approximately 3 kilometers.

The subject of this question is Mathematics, specifically geometry and the concept of a semicircle's perimeter. To find the radius of a semicircle with given perimeter (P), we need to use the formula for perimeter of a semicircle which is P = πr + 2r, where r is the radius. Here, P = 15.42 kilometers.

First, we will rearrange the formula to isolate r: r = P / (π + 2). Now, substituting into the formula with the given perimeter, we get r = 15.42 / (π + 2) ≈ 15.42 / 5.14 ≈ 3 km (rounded to nearest whole number).

This means the radius of the semicircle is approximately 3 kilometers.

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Answer:

-1.8

Step-by-step explanation:

The residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1 option first is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The missing data:

The line of the best fit is:

y = 1.6x - 4

When x = 3

Plug x = 3 in the above line equation:

y = 1.6(3) - 4

y = 4.8 - 4

y = 0.8

Now the residual value = actual value - expected value

= -1 -0.8

= -1.8

Thus, the residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1

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Answer:

[tex]57,020,000 = 5.702\cdot10^7[/tex]

Answer:

Step-by-step explanation:

Just took it. I selected your answer and got it wrong. Here is my answer.

The correct option is F q(x) = (9x - 4)(x – 4)  is equivalent to q(x) = 9x² – 24x + 16.

To find the equivalent function for q(x) = 9x² – 24x + 16. we need to factor the quadratic equation.

We are looking for two binomials that when multiplied together will give us the original quadratic equation.

In this case, a = 9, b = -24, and c = 16.

We need to find two numbers that multiply to give ac (which is 9 * 16 = 144) and add to give b (which is -24).

The two numbers that satisfy these conditions are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.

Now we can rewrite the middle term of the quadratic equation using these two numbers:

 q(x) = 9x² – 24x + 16.

Next, we group the terms:

q(x) = (9x² – 12x) - (12x - 16)

Now we factor out the common factors from each group:

 q(x) = 3x(3x - 4) - 4(3x - 4)

We can see that (3x - 4) is a common factor

q(x) = (3x - 4)(3x - 4)

However, we need to be careful here because we have a common factor of 3 in both binomials.

We can factor this out to get the correct factored form:

q(x) = (9x - 4)(x - 4)

This matches option F.

This is the original quadratic equation, confirming that option F is indeed the correct answer.

Answer:[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

Jar contains 15 Green and

15 Purple marbles

Total marble[tex]=15+15=30[/tex]

Probability of Picking a Purple marble is

[tex]P=\frac{\text{No of Purple marble}}{\text{Total no of marble}}[/tex]

[tex]P=\frac{15}{30}[/tex]

[tex]P=\frac{1}{2}=0.5[/tex]

Therefore probability of picking a marble is [tex]0.5[/tex]

Answer:

6wz

Step-by-step explanation:

z is not part of 18w, so it's not one of the factors for both 18w and 30wz

From the options provided, the factor '6wz' is not a common factor of 18w and 30wz because no such term exists in the factorization of the expression 18w.

The common factors of 18w and 30wz can be determined by breaking down each expression into its unique factors. For 18w, the factors are 2, 3, 3, and w. For 30wz, the factors are 2, 3, 5, w, and z. The common factors between the two expressions are 2, 3, and w.

From the options provided (3w, 6, 6wz, w) - we can see that 3w and w are indeed common factors of both 18w and 30wz. The number 6 is also a common factor as it can be achieved by multiplying 2 and 3, which are present in both expressions.

However, 6wz is not a common factor. Although the '6', 'w' and 'z' parts are contained within 18w and 30wz separately, the combination of '6wz' cannot be made using the factors of 18w since the term 'z' is not included in its factors.

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Answer:

Answer:

80degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

Step-by-step explanation:

For the given parallelogram measure of angle M is 80 degrees.

In the given parallelogram,

Angle N = 5x degree

Angle L  = (3x + 40) degree

Now for parallelogramm

angle L = angle N

⇒  (3x + 40) = 5x

⇒            2x  = 40

⇒               x  = 20

We know that for a parallelogram sum of two consecutive angles = 180 degrees.

    Angle M + angle N = 180 degree

⇒      Angle M + 5(20) = 180 degree

⇒                   Angle M = 80 degree

Hence the measure of angle M is 80 degree.

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Answer:

D. 4x + 32; E. 4(x + 8)

Step-by-step explanation:

The correct answer is none. This problem is incorrect. The perimeter of a polygon is the sum of the lengths of all the sides. A perimeter is a length, not an area. A perimeter is expressed in feet, not square feet.

Ignoring the "square feet" part, once again, the perimeter is the sum of the lengths of all sides. Since this is a square, all sides have the same length, and there are 4 sides.

perimeter = 4s

perimeter = 4(x + 8) = 4x + 32

Answer:

16

Step-by-step explanation:

This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.

Answer:

40

Step-by-step explanation:

P= purple marbles

Y= yellow marbles

P+y=52

P=3y+4

Anyways. I got it wrong and the website says 40.

Michelle earned a total of $93 ($4 per hour and $65 in tips). By setting up and solving the equation 4h + 65 = 93, it is determined that h = 7, therefore, Michelle worked for 7 hours.

The subject of this question in Michelle's work earning. Michelle earns $4 per hour in addition to her tips. In total, she earned $93 on this specific night. To establish how long Michelle worked, we can create and solve an equation.

Firstly, we can determine that her total earnings ($93) are made up of her hourly wage and her tips. This can be written as:

4h + 65 = 93

Next, we will solve for h, which represents the number of hours Michelle worked:

Therefore, Michelle worked for 7 hours on that evening.

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To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], match each digit with its corresponding code.

To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], we match each digit with its corresponding code. First, we look at the area code (555). The code for 5 is 13, so we write it as 13. The codes for 2, 6, and 1 are 3, -13, and 5 respectively, so we write them as 3, -13, and 5. Finally, for the remaining digits (2651431), we encode each digit using the coding matrix. The encoded telephone number is 13-3-7-13-3-5-1-3-5.

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Answer:

x = 2

y = 4

Step-by-step explanation:

Since it gives you the "value" of y, just plug one of them into an equation:

y = x + 2

3x - 2 = x + 2

Now, subtract x from both sides:

3x - 2 = x + 2

-x         - x

__________

2x - 2 = 2

Then, add 2 to both sides:

2x - 2 = 2

    + 2  + 2

________

2x = 4

Finally, divide both sides by 2:

2x = 4

x = 2

Now to get y, just plug in 2 for x in an equation:

y = x + 2

y = 2 + 2

y = 4

Final answer:

The plumber charges $35 per hour, calculated by dividing the change in total cost ($105) by the change in hours (3).

Explanation:

To find the rate of change in dollars per hour for the plumber's charges, we need to use the definition of rate of change, which is the change in cost divided by the change in time.

Here are the steps for calculation:

This means the plumber charges $35 per hour for their service.

Answer:

i believe it's B  

Step-by-step explanation:

Answer:

They can be positive.

They can be zero.

They can be negative.

They can be absolute value.

Step-by-step explanation:

A number is an abstract entity used to describe quantity.

Zero, one, -1, 2.5, pi are all numbers.

The number is a member of one of the several classes: natural numbers, integers, rational numbers, real numbers, complex numbers, quaternions.

A number can't be both negative and positive.

The options 1, 2, 3, and 5 are correct.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

As per the given data:

We are given some properties of numbers in the options, and we have to find which among the following options are true.

They can be positive.

This is correct, as numbers can be positive

They can be zero.

This is correct, as a number can be zero.

They can be negative.

This is correct, as numbers can be negative.

They can be both positive and negative.

This is incorrect, as numbers can't be both positive and negative.

They can be absolute value.

This is correct, as numbers can have an absolute value.

Hence, the options 1, 2, 3, and 5 are correct.

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Answer:

Step-by-step explanation:

Answer:

Slope:-1/8

Step-by-step explanation:

Slope=(y2-y1)/(x2-x1)

(-4,4) (4,3)

x1  y1  x2 y2

(3-4)/(4-(-4))

-1/(4+4)

-1/8

Answer:

f'(9) = 6

Step-by-step explanation:

f(x) = 6x+7

The derivative is

f'(x) = 6

Evaluated at  x=9

f'(9) = 6

Answer:

6

Step-by-step explanation:

f(x) = 6x + 9

f'(x) = 6 at every point

Answer:

58/100

Step-by-step explanation:

The first step is to make the two fractions have a common denominator. 5/10=50/100. Now you can add the two fractions together. 50/100+8/100=58/100. Hope this helps!

Answer:

48/3.2=15

30

15

3

Got 3.2 from Second length is twice the third so we divide by 2 + 1 = 3

0.2 is from 1/5 = 0.2

3 is the third length

30 is second length and 15 is the first.

Step-by-step explanation:

The question relates to solving a simple algebraic equation. The first length of rope is identified as 15 feet. Consequently, the third piece, which is a fifth of the first length, is 3 feet.

We can solve this problem by first setting up an equation using the information given in the problem. Let's call the first length of rope x. Then according to the problem, the second length is twice the first length, or 2x, and the third length is one-fifth of the first length, or x/5. So, the total length of the rope is x + 2x + x/5 = 48.

First, we have to combine like terms on the left side to get 3x +(1/5)x equal to 48. If we multiply every term in the equation by 5 to clear out the fraction, we get 15x + x = 240. Combined, we have 16x equal to 240. Finally, we divide each side by 16 to solve for x. This gives us x equal to 15.

So, the third length, which is one-fifth of the first length, would be 15 divided by 5, which equals 3. Therefore, the third length of the rope is 3 feet.

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Final answer:

To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, determine the favorable and total outcomes. The probability is 11/36.

Explanation:

To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, we need to determine the favorable outcomes and the total possible outcomes. Let's say the orange spinner has numbers 1 to 6, and the aqua spinner also has numbers 1 to 6. To get a sum of 5 or more, we can have the following outcomes:

Orange spinner: 1, Aqua spinner: 5 or 6

Orange spinner: 2, Aqua spinner: 4, 5, or 6

Orange spinner: 3, Aqua spinner: 3, 4, 5, or 6

Orange spinner: 4, Aqua spinner: 2, 3, 4, 5, or 6

Orange spinner: 5 or 6, Aqua spinner: 1, 2, 3, 4, 5, or 6

These are a total of 11 favorable outcomes. The total possible outcomes are 6 ×6 = 36, since each spinner has 6 numbers. Therefore, the probability of getting a sum of 5 or more is 11/36.

Answer:

simple its decrease

Step-by-step explanation:

Answer:

y= -3x+15.

Step-by-step explanation:

To solve this equation, we first need to calculate the slope of the equation:

m= [tex]\frac{-3-3}{6-4}[/tex] m= [tex]\frac{-6}{2}[/tex] m= -3.

Now, we can simply plug in our slope value into our line equation (y= mx+b) with one of the point listed to find our b value.

3= -3(4)+b

3= -12+b

15=b

Finally, the equation we get is:

y= -3x+15

Answer:

192 total ways

Step-by-step explanation:

This time, we have already 2 selected kings, therefore we must find the remaining 3 cards.

There are two general ways to do this:

Case 1: you draw two of some other matching cards and another king

Case 1 - K + X + X where K is a King and X is some other card than a King. So there are 2 Ks to draw. Then there are 12 other cards that are not from the king, and since you get two of them it would be 2 taken from 4:

4C2 = 4! / (2! * (4-2)!) = 6

Therefore there are 6 different arrangements of the two.

So 2 * 12 * 6 = 144 total ways to do this.

Case 2: you draw three of some other matching cards

Case 2 - X + X + X where the Xs are all non-king cards. So 12 cards to choose from, and then calculate 3 taken from 4:

4C3 = 4! / (3! * (4-3)!) = 4

Therefore there are 4 different arrangements of the three. So 12 * 4 = 48 total ways to do this.

Which means that:

144 + 48 = 192

There are 192 total ways to get a full house when you start with two kings.

Answer: 2.7 hours

Step-by-step explanation:

Hi, to answer this question we simply have to calculate the amount of time that takes making one batch of dinner rolls, by adding the individual times of, kneading, resting and baking.  

Mathematically speaking  

0.7 hours +1.6 hours +0.4 hours = 2.7 hours  

It takes 2.7 hours to make each batch of dinner rolls.

Answer:

Take a look below;

Step-by-step explanation:

See attachment;

Answer:

2) 150 feet

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 45°

Opposite Leg = h (height)

Hypotenuse = 225

Step 2: Solve for h

Here we see that the closest value to 160 ft is 2) 150 feet.

Answer:

150

Step-by-step explanation: