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katrin [286]
3 years ago
11

Please include work!

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

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Hello,

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5 0
3 years ago
What is the volume of the figure???
lianna [129]

Answer:

1530cm

Step-by-step explanation:

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720+810=1530

6 0
3 years ago
Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/
Lana71 [14]
(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
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10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
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6 0
3 years ago
Pls answer <br> take ur time
bekas [8.4K]

Answer:

y = 3/4x

Step-by-step explanation:

We need to find the slope of the line

We have point (0,0) and point (4,3)

m = (y2-y1)/(x2-x1)

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The y intercept is 0 since it crosses the y axis at 0

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5 0
2 years ago
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NISA [10]
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4 0
3 years ago
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