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Brrunno [24]
3 years ago
5

Select the polynomial that is a perfect square trinomial.

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0
(a\pm b)^2=a^2\pm2ab+b^2


a)\ 49x^2-8x+16=(7x)^2-2\cdot x\cdot4+4^2-NOT\\\\b)\ 4a^2-10a+25=(2a)^2-2\cdot a\cdot5+5^2-NOT\\\\c)\ 25b^2-5b+10=(5b)^2-5b+10-NOT\\\\d)\ 16x^2-8x+1=(4x)^2-2\cdot4x\cdot1+1^2=(4x-1)^2-YES!

\text{Answer: d)}

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The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
Aleksandr [31]

Answer:

The new pyramid has a volume that is half the volume of the original pyramid.

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

V = \frac{h*l*w}{3}

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

h = 2h, l = 0.5l, w = 0.5w

V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3} = 0.5V[/tex]

That is

The new pyramid has a volume that is half the volume of the original pyramid.

6 0
3 years ago
Describe the overall shape of the histogram.
Elanso [62]

Answer:How would you describe the shape of the histogram? Bell-shaped: A bell-shaped picture, shown below, usually presents a normal distribution. Bimodal: A bimodal shape, shown below, has two peaks. This shape may show that the data has come from two different systems.

Step-by-step explanation:i

3 0
2 years ago
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Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.how old is christopher?
Sedbober [7]

i = 3c

i = c + 14

set both equations equal to each-other, we can

solve for c, we must.

3c = c + 14

subtract c from both sides, we must.

2c = 14

divide both sides by 2, we must.

c = 7

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6 0
3 years ago
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What is the area of the triangle?
Crazy boy [7]

Answer:

5 units²

Step-by-step explanation:

Area of the triangle = ½ × base × height

base = 2

height = 5

Plug in the values into the formula

Area = ½ × 2 × 5

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3 years ago
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