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Lisa [10]
3 years ago
15

3x + 2y = 12 y = x - 9 solve by substitution

Mathematics
1 answer:
mezya [45]3 years ago
7 0
Point form: (6,-3)
equation form: x=6, y=-3
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Needs Clarification Please! Explain how the graph of each given function is a transformation of the graph of y = x^2
Katen [24]
In 1. the graph would open down because of the negative sign in front of the 2.  The 2 in front of the x, would excel the growth of the graph by a factor of 2, making it more narrow.

on the second problem the -5, being that it is tied to the x and being squared and inside of the (), would cause the graph to shift 5 units to the right (always opposite of the sign in front of the number.
7 0
3 years ago
Help me please!!!!!!
Leokris [45]

Answer:

Both figures have a perimeter of 112 inches.

Step-by-step explanation:

Question 5:

You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.

This means the perimeter is:

P=(31 \times 2)+(25 \times 2)\\P=62+50\\P=112

Question 6:

Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.

Therefore, the perimeter will again be 112 inches.

These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.

3 0
3 years ago
Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to revive an annual rate of
daser333 [38]

So for this you will be using an exponential equation, which is y=ab^x with a=initial value, b=growth/decay, y = total balance, and x = # of years


In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: y=500(1.06)^x


With this problem, just plug in 15 into x and solve for y: y=500(1.06)^{15}\\ y=1198.28


In short, after 15 years Tom will have $1198.28 in his account.

5 0
3 years ago
Read 2 more answers
James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?
Snowcat [4.5K]

Last year He was 7 years old.

His father is 4 times the age 7 x 4 = 28

Last year his dad was 28, so this year he is 29.

Combined age this year = 29 + 8 = 37

51 - 37 = 14 years

14/ 2 people = 7 years

8 + 7 = 15

29 + 7 = 36

15 + 36 = 51

It will take 7 years.

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3 years ago
Bryan hiked up to the top of City Creek in 3 hr and then returned down the canyon to the trailhead in another 2 hr. His speed do
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Still need your answer ?

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