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Kazeer [188]
3 years ago
12

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola. Equa

tion 1: (x – 3)2 = y – 4 Equation 2: y = -x + b In order for Tom’s thinking to be correct, which qualifications must be met?
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

b=7

Step-by-step explanation:

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What is the absolute value equation for this graph?
Delvig [45]

Answer:

y = |x-3| -1

Step-by-step explanation:

The parent function has been shifted right 3 units and down 1 unit. That is f(x)=|x| has been moved to ...

y = f(x -3) -1

y = |x -3| -1 . . . . matches the last choice

6 0
3 years ago
Help, I don't remember​
GenaCL600 [577]

Answer:

  x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

  x/60 = 60/25

Multiply by 60 to find x:

  x = (60·60)/25

  x = 144

_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

  60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

3 0
3 years ago
The scatter plot above show the relationship between the number of bags of popcorn that are sold and the price per bag. Which is
saul85 [17]
The independent variable is is the price per bag.
4 0
4 years ago
A teacher is paid an annual salary of $37.165. What is her gross monthly salary.
MAXImum [283]

Answer:

3.01

Step-by-step explanation:

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • Monthly salary .

<u>SOLUTION</u><u> </u><u>:</u><u>-</u><u> </u>

=> Monthly salary = $ 37.165/12= $ 3.01

6 0
3 years ago
A brace for a shelf has the shape of a right triangle. Its hypotenuse is 16 inches long and the two legs are equal in length. Ho
Flura [38]
Using pythag a^2+b^2=16^2
16^2=256
and since a=b the equation is 2x^2=256
/ each side by 2
x^2=128
x=sq rt of 128=11.31 roughly
8 0
3 years ago
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