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Daniel [21]
3 years ago
12

"> + 2xy + y^{2} when x = -2 and y = -3
Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

25

Step-by-step explanation:

x² + 2xy + y²

<h3><u>i</u><u>)</u><u> </u><u>subs</u><u>titute</u><u> x</u><u> </u><u>=</u><u> </u><u>-</u><u>2</u><u> into</u><u> the</u><u> </u><u>express</u><u>ion</u></h3>

(-2)² + 2(-2)y + y²

= 4 - 4y + y²

<h3><u>ii</u><u>)</u><u> </u><u>subs</u><u>titute</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>3</u><u> </u><u>into</u><u> </u><u>the</u><u> </u><u>expre</u><u>ssion</u></h3>

4 - 4y + y²

= 4 - 4(-3) + (-3)²

= 4 + 12 + 9

<h3><u>iii</u><u>)</u><u> </u><u>add </u><u>the</u><u> </u><u>numbers</u></h3>

4 + 12 + 9

= 16 + 9

= 25

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We know that
[volume of a sphere]=(4/3)*pi*r³
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calculate the volume of one <span>balloon
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4 0
4 years ago
What is the slope of a line that passes through (-2,-3) and (1, 1)
Paul [167]
The slope of (-2, 3) & (1, 1) is ( 4, 2). The reason why the answer is (4, 2) is that if you look at a number line from left to right you'd see that -2 takes four steps to get to positive 2.

                     -10 -9 -8 -7 -6 -5 -4 -3 -2 -1  0  1 2 3 4 5 6 7 8 9 10
                                                           ↑  ↑  ↑  ↑ ↑
                                                                1  2  3 4

As for the other plot, you have to think: How many times does 1 need to jump to get to 3?

                     -10 -9 -8 -7 -6 -5 -4 -3 -2 -1  0  1 2 3 4 5 6 7 8 9 10
                                                                       ↑ ↑ ↑
                                                                          1  2 
This is important to remember, the numbers to your right is your y  and the numbers to your left is your x. 

(-2, 3) (1, 1)
       
↑      ↑
        y     y

(-2, 3) (1, 1)
  ↑       ↑
  
x       x

I hope I helped :)

4 0
3 years ago
Rick is building a scale model of the Alamo for his Texas History class. In this model, he is using a scale in which 3 inches re
motikmotik

Answer:

18 inches

Step-by-step explanation:

Rick is building a scale model of the Alamo.

We are given a scale that 3 in. = 15 ft.

The length of the Alamo is 90 feet.

What is the length of the scale model in inches?

So we know that for every 15 feet, 3 inches are actually used in the project and we need a total of 90 feet. To solve, we need to find how many times 15 goes into 90, in which the number it multiplies to will apply to the inches.

15 * ? = 90

90 / 15

6

It takes 15 6 times to get to 90, meaning that we need to multiply 3 inches 6 times to find the actual length of the scale model in inches.

3 * 6

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8 0
3 years ago
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was laun
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Answer:

-16 ft/sec

Step-by-step explanation:

4 0
3 years ago
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ahrayia [7]

Answer:

81.9

Step-by-step explanation:

63 of 130 is 48.46%

Steps to solve "what percent is 63 of 130?"

63 of 130 can be written as:

63

130

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.

6 0
3 years ago
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