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zloy xaker [14]

4 years ago

10

One number is 2 more than another. The difference between their squares is 32. What are the numbers

1 answer:

Oksana_A [137]4 years ago

8 0

Let x represent one number. Then the other number is x + 2. Calculation: (x + 2)2 - x2 = 32 x2 + 4x + 4 - x2 = 32 Combine terms: 4x = 28 x = 7 One number is 7. The other number is, 7 + 2, or 9. Questions?

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Im just going to post a picture

PolarNik [594]

Answer: -2, 0, 2, 5.

Step-by-step explanation:

i did the math in my head if im wrong please dont complain i am sorry but if im right please give brainliest

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3 years ago

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Please solve it and show a graph

vichka [17]

Answer: There is no photo it's just a black screen

Step-by-step explanation:

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3 years ago

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What is the completely factored form of f(x)=x3−7x2+2x+4?

sladkih [1.3K]

Answer:

The Factored form is

$f(x)=(x-1)(x-3-\sqrt{13} )(x-3+\sqrt{13} )$

Step-by-step explanation:

Given;

$f(x)=x^{3} -7\times x^{2} +2x+4$

To solve for x we factorize the right side of

$f(x)=x^{3} -7\times x^{2} +2x+4$

Let Substitute x for various values to check whether remainder is zero.

$f(1)=1^{3} -7\times 1^{2} +2\times 1+4$

Hence $x-1$ is a factor of the function.

Do synthetic division to find the quotient

$1$ $1$ $-7$ $2$ $4$

$1$ $-6$ $-4$

_____________________

$1$ $-6$ $-4$ $0$

We get remainder 0 and quotient as,

$x^{2} -(6\times x)-4$

By using Quadratic Formula;

$x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}$

Plug 'a' , 'b' and 'c' value from $x^{2} -(6\times x)-4$ equation,

$x=\frac{-(-6)\pm\sqrt{-6^{2}-(4\times1\times -4 )} }{2\times1}$

$x=\frac{6\pm\sqrt{36+16 } }{2}$

$x=\frac{6\pm\sqrt{52} }{2}$

$x=3+\sqrt{13}$ and $x=3-\sqrt{13}$

The values of 'x' are $1$ , $3+\sqrt{13}$ and $3-\sqrt{13}$

So the Factored form is

$f(x)=(x-1)(x-3-\sqrt{13} )(x-3+\sqrt{13} )$

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3 years ago

rachel jogged along a trail that was 1/4 of a mile long she jogged along the trail 8 times how many miles did Rachel jog?

Romashka [77]

8/32 I think but double check bc I don't know if its my correct calculations.

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A group of students formed a circle during a game.

Nadya [2.5K]

Answer and Step-by-step explanation:

C = circumference = 43.96

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3.14 $= \pi$

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3 0

3 years ago