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Savatey [412]
3 years ago
9

Factorise: 4x^2+4xy+y^2-2^2

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

Step-by-step explanation:

4x^2 + 4xy + y^2 = (2x + y)^2

and if we assume that 2x + y = A and because 4 = 2^2

A^2 - 2^2 = (A-2)*(A+2) .

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What is the height of a triangle if the base is 60 and the hypotenuse is 61?
lions [1.4K]

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

8 0
3 years ago
PLEASE HELP ME WITH THIS! IM BEHIND
jolli1 [7]

Answer:40

Step-by-step explanation: i may be wrong but i subtracted 136 from 95 and i got 40 im sorry if it is wrong

5 0
1 year ago
a cone has a volume of 1,570in3. If the height of the cone is 15 inches. Calculate the radius of the cone?
spin [16.1K]

Answer:

approximately 10

Step-by-step explanation:

Volume = 1/3h times \pi times radius square

1570 = 1/3 x 15 x 22/7 x r^{2}

1570 = 5 times \frac{22}{7} times r^{2}

1570 = 15.71r^{2}

\frac{1570}{15.71} = \frac{15.71 r^{2}}{15.71}

99.9 = r^2

\sqrt{99.9} = r

≅10

5 0
3 years ago
A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe
zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

7 0
3 years ago
Which function below is the inverse of f(x) = x2 − 36? x squared over 36 ą6square root of x 1 over quantity x squared minus 36 ą
Hitman42 [59]
The answer would be <span><span>f<span>−1</span></span><span>(x)</span></span>=<span>√<span>36+x</span></span>,<span>−<span>√<span>36+<span>x. I didn't know it in word form :(</span></span></span></span>
4 0
3 years ago
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