Triangle ABC is located at A(-2,2), B(-2,4), and C (0,0). The triangle is then transformed using the rule (x+3, y+2) to form the image A’B’C. What are the new coordinates of A’, B’, and C’

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The rule (x + 3, y + 2) means add 3 to the original x- coordinate and add 2 to the original y- coordinate, that is

A(- 2, 2) → A'(- 2 + 3, 2 + 2) → A'(1, 4)

B(- 2, 4) → B'(- 2 + 3, 4 + 2) → B'(1, 6)

C(0, 0) → C'(0 + 3, 0 + 2) → C'(3, 2)


Related Questions

A circular pool with a 10 foot diameter is surrounded by a deck.

What is the area of the deck which surrounds the pool? Use 3.14 for pi

Answers

Answer:

Step-by-step explanation:

the a square deck as a whole area is 225

side^2 so 15^2

the circles area is 78.54

area of circle formula= pi(r^2)

if you subtract the circle from the squares area you get the outside.

area of deck= 146.46

Answer:

146.5 or option A

Step-by-step explanation:

edg 2021

somebody help me please

Answers

Answer:

Here is the answer with the steps

Step-by-step explanation:

Hope you liked it!!

solve and graph each inequality please helo this is due tomorrow please 15 points!!​

Answers

Answer:

12.)a>/=-4

15.)b</=2/3

cant graph sorry

Step-by-step explanation:

Helpppppppp!!!!!!!!!! PLEASE

Answers

A) a'(0,-4), b'(2,-1), c'(3,-5)

since the coordinates are only moved 5 units down, just reduce the y-coordinates by 5

1-5= -44-5= -10-5= -5

If t>0 and t2−25=0, what is the value of t?

Answers

Answer:

Final answer is [tex]t=5[/tex].

Step-by-step explanation:

Given equation is [tex]t^2-25=0[/tex].

Now we need to solve that equation for t when [tex]t>0[/tex].

[tex]t^2-25=0[/tex]

[tex]t^2-5^2=0[/tex]

[tex](t+5)(t-5)=0[/tex]

or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]

or [tex]t+5=0[/tex], [tex]t-5=0[/tex]

or [tex]t=-5[/tex], [tex]t=5[/tex]

Given that t>0

so that means t=-5 is not possible.

Hence final answer is [tex]t=5[/tex].


Quadratic equations and functions.
n^2+2n-15=0

Answers

Answer:

n = -5, 3.

Step-by-step explanation:

n^2 + 2n - 15 = 0

Let's check if we can factor this quadratic:

We need 2 numbers whose product is -15 and whose sum is +2.

There are 2 such numbers and they are +5 and -3, so the factors are:

(n + 5)(n - 3) = 0.

n + 5 = 0 or n - 3 = 0

therefore the zeroes are -5 and 3.

the answer is n=3 or n=-5

Identify the percent, amount, and base in this problem:

What is 20% of 50?

Answers

Convert the percentage into a decimal

[tex]50 * .20 = 10[/tex]

[tex]50 - 10 = 40[/tex]

20% of 50 is 40

49 is 20% of 50

50*.20 = 10
50 - 10 = 40
40
Check
50*.80 = 40

x to the 2nd power +2-4x

Answers

What is the question being asked here?

Answer:

x² - 4x + 2 = (x - 2)²

Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20?

Answers

Answer:

I think 15/20

Step-by-step explanation:

If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.

Hope i have helped you!

Find the value of x so that the line passing through (x, 10) and (-4, 8) has a slope of 2/3

Answers

Answer:

x = -1

Step-by-step explanation:

We are given the following two points from which the line passes and has a slope of [tex]\frac{2}{3}[/tex].

We are to find the value of x.

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{10-8}{x-(-4)}[/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{2}{x+4}[/tex]

By cross multiplication:

[tex]2(x+4)=3 \times 2[/tex]

[tex]2x+8=6[/tex]

[tex]2x=-2[/tex]

x = -1

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

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

Where:

m: It's the slope

b: It is the cut point with ele axis and

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

How we have:

[tex]\frac {2} {3} = \frac {8-10} {- 4-x}\\\frac {8-10} {- 4-x} = \frac {2} {3}\\\frac {-2} {- 4-x} = \frac {2} {3}[/tex]

We clear the value of "x"

[tex]2 (-4-x) = - 6\\-8-2x = -6\\-2x = -6 + 8\\-2x = 2\\x = \frac {2} {- 2}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]

Mark is getting a smoothie. He can choose from three sizes, nine fruit flavors and three different juices. How many outcomes are possible?

Answers

Answer: 81 outcomes.

Step-by-step explanation:

Multiply all the choices together.

3x9x3=81 outcomes.

Hope this helps!

Answer:

In total there are 81 possible combinations.

Step-by-step explanation:

You multiply all possible sizes by all possible flavors by all possible juices and you get your answer.

Have a nice day :]

3 times 9 times 3=81 combos

Question 7 (2 points)
Which theorem or postulate proves that ATNI is similar to AMNA?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these

Answers

SSS Similarity Theorem

need help fast !!!!!!!!!!!!!!!!!!!

Answers

f(30)= 14-0.5(30)

f(30)= 14-15

f(30)= -1

Answer is f(-30)= -1

ANSWER

[tex]f(30) = - 1[/tex]

EXPLANATION

The given expression is

f(x)=14-0.5x

We want to finfmd f(30).

We substitute x=30 into the expression to obtain:

[tex]f(30)=14-0.5(30)[/tex]

Multiply out the last term to obtain,

[tex]f(30)=14-15[/tex]

Simplify to get,

[tex]f(30)= - 1[/tex]

Do 2 ratios form a proportion???

Answers

They form a proportion when both of the ratios are equivalent.

An example: 3/15 and 1/5 is a proportion because the are equivalent.

The reason why they are equivalent is because if you cross multiply meaning doing 3*5 which equals 15 and 15*1 which equals 15 so basically you multiply the numerator by the other fractions denominator and do the same for the other side and see if the numbers are the same if they are not the same they are not a proportion if they are the same they are a proportion.

Hope this helps!

Answer:

yes

Step-by-step explanation:

because you can set them up as a fraction too. example;

2/3 is the same as 2:3, with which you can set equal to another thing and solve

What type of number gets a mathematician in trouble the most when trying to use
function to model a real world situation? Why?

Answers

Answer:

Step-by-step explanation:

Interesting question. Perhaps an inverse relationship.

y = k/x where k is a constant like 10.

The problem begins to become a problem when  x approaches 0 and that happens quite frequently.

I would say as a class of numbers, 0 is the most problematic. 0 was developed about 1100 years after the death of Christ so the concept is pretty subtle. The Romans had no value for 0 as a place holder. 2019 for them was not written with anything that resembled a zero. (MMXIX is how they would write it). That's got to be very awkward when giving parts of an inch in their engineering drawings.

The second group that probably causes some trouble would be the irrationals. pi for one. sqrt(3) for another.  That took a while to develop as well.

Final answer:

The type of number that often gets mathematicians in trouble when using functions to model real-world situations is irrational numbers.

Explanation:

The type of number that often gets mathematicians in trouble when trying to use functions to model real-world situations is irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They consist of an infinite decimal expansion without a repeating pattern. Examples of irrational numbers include π (pi) and √2 (the square root of 2).



Mathematicians may encounter irrational numbers when dealing with measurements, calculations, or any situation that requires precise numerical representations. Irrational numbers can cause difficulties because they cannot be represented exactly and must be approximated for practical use.



For example, if a mathematician is trying to model the distance a car travels in a given time, they may encounter irrational values when dealing with measurements involving π or √2. These values may need to be rounded or approximated to fit the model, introducing potential errors in the calculations.

20 POINTS- ANSWER IF YOU KNOW

A rectangular hotel swimming pool is sixty feet long, twenty-five, and seven feet deep. How much water will the swimming pool hold if it is only filled six feet deep?

Answers

Answer: It will hold 9,000 gallons (I'm guessing as that is the stand unit of water for something like this)

Step-by-step explanation:

60 * 25 = 1,500

1500 * 6 = 9000

Answer:

9000 feet cubed

how do i divide fractions ΓΓΓ

Answers

Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.

1/2 divided by 1/3

To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.

Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi.

Answers

Answer:

196 pi

Step-by-step explanation:

Equation for Surface Area = 4 pi r^2

r = 14/2 = 7

4(7^2)pi

(4)(49)pi

196pi

6. When making adjusting entries, which account is never affected?

A. Capital

B. Withdrawal

C. Fees Expense

D. Cash

Answers

It never affects D. Cash

Answer:

Cash is never affected.

Step-by-step explanation:

When making adjusting entries, cash is never impacted.

Adjusting entries means to make the account up to date at the end of the accounting period.

All adjusting entries affect a minimum of one income statement account and one balance sheet account, but this never affects cash.

Susie filled up her car with 12 gallons of gas.

Which number sentence could be used to figure out how many quarts of gas Susie put into her car?

(4 qt = 1 gal)

12 ÷ 4 = □

12 + 4 = □

12 × 4 = □

12 − 4 = □

Answers

12÷4

=3

because theres 12 gallons n theres four qts in each so you divide

The answer is the 12 multiplied by 4

The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30.
There is a % chance that more than 250 books were borrowed in a week.

Answers

Answer:

There is a 2.275% chance that more than 250 books were borrowed in a week.

Step-by-step explanation:

Let the random variable X denote the number of books borrowed from the library each week. Then from the information given;

X is normally distributed with a mean of 190 and a standard deviation of 30.

We are required to determine the probability that more than 250 books were borrowed in a week;

This can be written symbolically as;

Pr(X > 250)

The first step is to determine the z-score associated with the value 250. This is obtained via standardizing X;

Pr(X > 250) = [tex]Pr(Z>\frac{250-190}{30})=Pr(Z>2)[/tex]

This is simply the area to the right of 2 in a standard normal curve. From the standard normal table, this area is; 0.02275

As a percentage this is equivalent to 2.275%

Final answer:

To find the probability of borrowing more than 250 books, calculate the Z-score and use a standard normal distribution table to find the corresponding percentile. Subtract this percentile from 1 to obtain the desired probability.

Explanation:

The question involves using the properties of a normal distribution to find the probability that more than 250 books were borrowed in a week, given that the mean number of books borrowed is 190 and the standard deviation is 30. To determine this probability, one would calculate the Z-score for 250 books and then refer to a standard normal distribution table or use a calculator with normal distribution functions to find the area under the curve to the right of this Z-score.

To calculate the Z-score, we use the formula:

Z = (X - μ) / σ

Where X is the value of interest (250 books), μ is the mean (190 books), and σ is the standard deviation (30 books).

Calculating it gives:

Z = (250 - 190) / 30Z = 60 / 30Z = 2

The Z-score of 2 corresponds to a certain percentile in the standard normal distribution, which indicates the probability that a sample has a value less than 250. To find the probability of a value being more than 250, one would subtract this percentile from 1.

Sally's $8,800 savings is in two accounts. One account earns 2% annual interest and the other earns 6%. Her total interest for the year is $440. How much does she have in each account?

Answers

Answer:

In the 2% account, Sally has $2200 and in the 6% account, Sally has $6600.

Step-by-step explanation:

Suppose the amount invested at 2% is $X and the amount invested at 6% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:

X + Y = 8800 (The sum of investments is basically the total income).

0.02X + 0.06Y = 440 (The sum of the interest received from the invested amounts is actually the total return).

Now solving these 2 simultaneous equations:

x + y = 8800 (Equation 1)

2x + 6y = 44000 (Equation 2)

From (Equation 1):

x = 8800 - y (Equation 3)

Put (Equation 3) in (Equation 2):

2(8800 - y) + 6y = 44000.

17600 - 2y + 6y = 44000.

4y = 26400

y = 6600.

To find x, substitute y = 6600 in equation 3. This gives:

x = 8800 - y.

x = 8800 - 6600.

x = 2200.

So in the 2% account, Sally has $2200 and in the 6% account, Sally has $6600!!!

An mp 3 player costs $60. If a 6.75% sales tax is add, what is the total cost?

Answers

To find the total cost, multiply the price of the player by 1 + sales tax.

60 x 1.0675 = 64.05

The total cost would be $64.05

Answer: 70$$

Step-by-step explanation: Im smart

line p contains point (6 ,- 5 and is perpendicular to line q the equation for line q is y=3x+5 write an equation for line q the find slope of line p write the recprocal of the slope you found in part 1

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

[tex]m1*m2=-1[/tex]

we have

[tex]y=3x+5[/tex] -----> equation of line q

the slope of line q is

[tex]m1=3[/tex]

Find the slope of line p

[tex]m1*m2=-1[/tex]

[tex]3*m2=-1[/tex]

[tex]m2=-1/3[/tex] ----> slope of line p

Find the equation of the line p

The equation into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]point(6,-5)[/tex]

[tex]m=-1/3[/tex]

substitute

[tex]y+5=-(1/3)(x-6)[/tex]

[tex]y=-(1/3)x+2-5[/tex]

[tex]y=-(1/3)x-3[/tex] ----> equation of the line p

see the attached figure to better understand the problem

Final answer:

The slope of line q is 3, so the slope of line p, which is perpendicular to line q, is -1/3. Substituting the given point (6, -5) and this calculated slope into the point-slope form of a linear equation, we find the equation of line p to be y = -1/3x + 3. The reciprocal of the slope -1/3 is -3.

Explanation:

The equation of line q given is y=3x+5. The slope of this line is 3. Perpendicular lines have slopes that are negative reciprocals of each other. Therefore, the slope of line p, which is perpendicular to line q, should be the negative reciprocal of 3, which is -1/3. To find the equation of line p, use the point-slope form of a linear equation, which is y-y₁ = m(x-x₁), where m is the slope, and (x₁, y₁) is a point on the line. Substituting the given point (6, -5) and the calculated slope -1/3 into that formula, the equation for line p becomes: y - (-5) = -1/3 (x - 6), or simplifying further, y = -1/3x + 3. The reciprocal of the slope -1/3 is -3.

Learn more about Line Equation here:

https://brainly.com/question/21511618

#SPJ3

What is the inverse equation of the function, y=5x-4

Answers

Answer:

y^-1 = (x + 4)/5

Step-by-step explanation:

To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:

→ y = 5x - 4

→ x = 5y - 4

Now, solving for 'y':

→ x = 5y - 4

→ x + 4 = 5y

→ y = (x + 4)/5

therefore, the inverse equation is: y^-1 = (x + 4)/5

Please Help with this problem

Answers

Answer:

PD = 30

Step-by-step explanation:

2 secants intersect inside a circle the product of their parts are equal, that is

20(2x + 3) = 18(2x + 6) ← distribute both sides

40x + 60 = 36x + 108 ( subtract 36x from both sides )

4x + 60 = 108 ( subtract 60 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Hence

PD = 2x + 6 = (2 × 12 ) + 6 = 24 + 6 = 30

find the greatest common factor of the following monomials 6u6 32u 38u2​

Answers

Answer:

2u

Step-by-step explanation:

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 7.4% per hour. How many hours does it take for the size of the sample to double

Answers

Answer:18.12

Step-by-step explanation:

Point S is _____.

1.inside the circle
2.on the circle
3.collinear with the diameter AC.
4.outside the circle

Answers

Answer:

point s is inside the circle.

Point s is inside the circle

Brian received a phone call today asking him to donate to a disaster relief found.

Answers

Answer:

Option B

Step-by-step explanation:

It is always wise to ask who or what the organization is asking. Always be safe.

Answer:

I would 100% go with

"Option B. Ask for the name of their organization and look for information about them to make sure they're authentic before he donates"

Step-by-step explanation:

That was the only logical decision, because for D. you can't just hope for the best and donate "blindfolded". A. was really not a smart decision because if you give someone your credit card number, they could easily take all the money they wanted off of it and put you in loads of debt. And then for C., it was the same with D., you can't just donate to an organization or charity fund when you have no idea if it's a probable cause or not. So, in conclusion "Option B." is your best and most logical answer.

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