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Fofino [41]
3 years ago
13

Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

<u>∗ = 0.4x³</u>

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

<u>Note:</u>

225y² = 15y * 15y = (15y)²

12x³y = 2 * 15y * 0.4x³

0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²

So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

<u>So, ∗ should be replaced with the monomial 0.4x³</u>

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Answer:

b = -³¹⁄₃

Step-by-step explanation:

We can solve this Algebra equation by separating the variable and constants.

3b + 15 = -26 - 20

3b + 15 = -46

3b = -31

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3 0
3 years ago
What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?
jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) -----> (8,-3-3) ----> (8,-6)

3 0
3 years ago
The pyramid below has a square base.
zavuch27 [327]

The volume of the pyramid would be 2406.16 cubic cm.

<h3>How to find the volume of a square-based right pyramid?</h3>

Supposing that:

The length of the sides of the square base of the pyramid has = b units

The height of the considered square-based pyramid = h units,

The pyramid below has a square base.

h = 24.4 cm

b = 17.2 cm

Then, its volume is given by:

V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3

V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16

Therefore, the volume of the pyramid would be 2406.16 cubic cm.

Learn more about pyramid;

brainly.com/question/20324485

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2 years ago
Solve each problem. Explain or show your reasoning.
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1: 40 2: 78 3: 48 4: 26 5: 15 6: 70
5 0
3 years ago
Simplify: (–2x+y)(-58 y)<br> O 10x10,<br> 10xv2<br> 10xy<br> 10x10 ,
alekssr [168]

Answer:

Choice C

Step-by-step explanation:

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Hope this helps!

8 0
3 years ago
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