A contraction would make the image smaller.
A negative number reflects the image and changes the size based on the number.
To make an image smaller the factor needs to be less than 1
so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.
Let w be the number of weeks. He withdraws $25 per week, so in w weeks, he withdraws 25w. He starts with $500, so after w weeks he has 500 - 25w. He wants this amount to be at least $200. "At least" means "greater than or equal to."
500 - 25w >= 200
-25w >= -300
w <= 12
Answer: Keith can withdraw $25 per week for at most 12 weeks.
Answer:
4.It is continuous because the number of gallons can take on any value over a range of values.
Step-by-step explanation:
Discrete variables are ones that are disconnected. This means they take only specific values, with no values inbetween.
Continuous variables are ones that can take any value in a given range.
When measuring the gallons of gas, we can have partial gallons of gas; this means the variable can take any value in a given range, so it is continuous.
see the attached figure to better understand the problem
we have that

Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC

substitute the values in the formula

Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem

substitute the values

Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem

substitute the values


therefore
<u>the answer is</u>
the length of BD is 11.93 units