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4 years ago

In order to solve by completing the square, what value needs to be added to

Mathematics

1 answer:

Crazy boy [7]4 years ago

5 0

Answer:

Step-by-step explanation:

To find the term needed, use the binomial formula.

$(a+b)^2 = a^2 + 2ab + b^2$

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add $b^2$ to both sides, namely 16.

$x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33$

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What is the value of x? show work

Alona [7]

2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71

The unknown angles are each 71

You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same

7 0

4 years ago

Write the words for the expression 3x(6-1)

fgiga [73]

Answer:

three multiplied by six minus one in parentheses

Step-by-step explanation:

For the last part aka (6-1) just say that 6-1 is in parenthesis

Hope this helpss!! :DD♡

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3 years ago

For what value of x is (2x^2+8x)/(x+4)(x^2-9) undefined?

irakobra [83]

Answer:

The value at x =3 is undefined for the given expression

Step-by-step explanation:

Given expression is $\frac{2x^2+8x}{(x+4)(x^2-9)}$

To find for what value of x is undefined in the given expression :

$\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x(x+4)}{(x+4)(x^2-9)}$

$=\frac{2x}{x^2-9}$

$\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x}{x^2-9}$

If we put x=3 in the above expression we get

$\frac{2x}{x^2-9)}=\frac{2(3)}{3^2-9}$

$=\frac{6}{9-9}$

$=\frac{6}{0}$

Therefore $\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{6}{0}$

The value at x =3 is undefined for the given expression

7 0

3 years ago

Volunteers at Sam's school use some of the student council's savings for a special project. They buy 8 backpacks for $8 each and

Tpy6a [65]

Answer:

The savings were changed by $88

Step-by-step explanation:

1 backpack costs 8 dollars and they bought 8 of them, you have to multiply 8 dollars by 8 cause there is 8 backpacks which is 64 , pen and pencils for 1 backpack costs 3 dollars , so you have to multiply 3 by 8 cause there are 8 backpacks which is 24. then you add 64 and 24 which is 88

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3 years ago

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A 40 yd polygon and 15 yd polygon are similar. find the area of their ratios

Lubov Fominskaja [6]

Because we are dealing with area, we have to square the difference of the 2 polygons.40 / 15 = 2.6666666667 2.6666666667^2 = 7.1111111111

 So, the 40 yard polygon has 7.1111111111times the area of the 15 yard polygon.

7 0

4 years ago

Read 2 more answers