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enot [183]
3 years ago
8

Find the midpoint: (-1, 9), (7, -1)​

Mathematics
1 answer:
dsp733 years ago
6 0

Answer: (3,4)

Step-by-step explanation:

To find the midpoint, you want to use the formula m=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} ). Since we are given the two points, we can plug them in and solve.

m=(\frac{-1+7}{2} ,\frac{9+(-1)}{2} )            [add numerator]

m=(\frac{6}{2} ,\frac{8}{2} )                          [divide]

m=(3,4)

Now, we know that the midpoint is (3,4).

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Write an algebraic expression for each verbal expression: the difference of 10 and u 10-u 10+u 10u 10/u
Harlamova29_29 [7]

Answer:

=> expression of the difference of 10 and u

=> difference = result of  subtraction

=> 10 is the number to be subtracted by u

=> u = is the unknown number to subtract to 10

=> 10 – u

Step-by-step explanation:

Algebraic expression is the expression that contains the combination of number, variables and operators like addition, division, subtraction and multiplication.

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3 years ago
What does the +3 and -8 mean on this coordinate plane?
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What is the factored form of the function f(x)=x^3+8x^2+5x−50?
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Answer:

the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function f(x)=x^3+8x^2+5x-50

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of x^3+8x^2+5x-50 by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: x^2+10x+25

The equation x^2+10x+25 can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

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Step-by-step explanation:

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