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Karo-lina-s [1.5K]
4 years ago
13

3(12-3y^2) Help solve this please

Mathematics
1 answer:
HACTEHA [7]4 years ago
5 0
Step 1. <span>Distribute

</span>3*12+3*-3 y^{2}
<span>
Step 2. Simplify </span>3*12 to 36

36+3*-3 y^{2}

Step 3. Simplify 3*-3 y^{2} to -9 y^{2}

36-9 y^{2}

Done! :)
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Write an inequality to describe the region. The solid upper hemisphere of the sphere of radius 5 centered at the origin
dusya [7]

Answer:

x^2 + y^2 + z^2 \le 25 for z \ge 0

Step-by-step explanation:

Given

r = 5 --- radius

Required

Determine the inequality of the region

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x^2 + y^2 + z^2 \le r^2

Substitute 5 for r

x^2 + y^2 + z^2 \le 5^2

x^2 + y^2 + z^2 \le 25

Solving further: <em>The question says only the upper hemisphere is considered.</em>

This implies that:

z \ge 0

<em>So, the equation is:</em>

x^2 + y^2 + z^2 \le 25

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5 0
3 years ago
FIND THE VERTEX AND GRAPH THE PARABOLA OF
DochEvi [55]

════════ ∘◦❁◦∘ ════════

<h3>Answer : (-2,11)</h3>

════════════════════

<h3>Known that</h3>

y = -2x² - 8x + 3

════════════════════

<h3>Way to do + explanation</h3>

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

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y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

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3 years ago
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