How would a dilation with scale factor 1 affect the preimage

Answers

Answer 1

Answer: Since the scale factor is 1, it would create a congruent image- which is the same thing as leaving the image by itself. It's like multiplying a number by 1- it stays the same.

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At the end of a snow storm,Allison saw there was a lot of snow on her front lawn.The temperature increased and the snow began to melt at a steady rate.After the storm,the snow started to melt at a rate of 0.75 inches per hour and is known that 4 hours after the storm ended,the depth of snow was down to 9inches.Write an equation for the function S(t),representing the depth of snow on Allison lawn,in inches,t hours after the snow stopped falling

Answers

The equation for the snow in the lawn after t hours and melting at a rate of 0.75 inches per hour will be equal to S = x - 0.75(t).

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

Let the initial amount of snow in the lawn is x inches.

Rate of melting of snow per hour = 0.75 inches per hour.

The equation for t hours, after melting of ice,

S = x - 0.75(t)

Here, t is the time in hours and x is the initial amount of ice in the lawn.

To know more about expression:

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Answer:

0.9

Step-by-step explanation:

i think its right

Elena and Marcus jog after school each day. Oneday, Elena and Marcus jogged a total of 15 miles.
Elena jogged 1 mile more than Marcus. Use a graph
to find the number of miles each person jogged.

Answers

Answer:Marcus jogged 7 miles while Elena jogged 8 miles.

Step-by-step explanation:

x + (x+1) = 15

2x+1=15

putting like terms together we get:

2x=15-1

2x=14

hence

x=14/2 = 7miles

therefore we conclude that Marcus jogged 7 miles while Elena jogged 8 miles.

Which expression is equivalent to |a| < 3?1. A ≥ -3 and a ≤ 3
2. A ≤ -3 and a ≥ 3
3. a ≥ -3 or a ≤ 3
4. A ≤ -3 or a ≥ 3

This question is worth 40 points. Please help im struggling with this answer!

Answers

Answer:

1. a ≥ -3 and a ≤ 3

I am assuming you mean to have an = sign as well

Step-by-step explanation:

|a| < =3

we get two solutions, one positive and one negative

remember to flip the inequality for the negative

a<=3 and a >= -3

What is Algebraic Expression?

Answers

An algebraic expression contains numbers and variables and also operators (adding, subtracting, multiplying, and dividing)

Here are a few examples:

a+3, b-6, c/5, 7d, etc.

Explanation: Algebraic expression is a mathematical expression that consists of variables, numbers, and operations.

8: ← Variable

(x): ← Operation

5: ← Constant

Example: x+12

The variable in the expression is x.

The operation in the expression is +.

The constant in the expression is 12.

Hope this helps!

Thanks!

Have a great day!

What's the equation of the line perpendicular to y=3x-2 and passes through the point (-9,5)? I'm having a brain freeze and can't remember how to do this... Thanks!

Answers

Answer:

-x/3+2=y

Step-by-step explanation:

m should be -1/3

mx+n=y

-x/3+n=y

(-9,5) should equalize the equation

3+n=5

n=2

SO -x/3+2=y

The answer is -x/3+2=y

NY Newsstand has an annual payroll of $288,000. What is the FICA for NYNewsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800

Answers

Answer:

A. $22,032

Step-by-step explanation:

FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.

0.0765 × $288,000 = $22,032 . . . FICA tax

Answer:

It is A $288,000

Step-by-step explanation:

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