All categories

2 years ago

Please solve for x and explain

Mathematics

1 answer:

icang [17]2 years ago

8 0

Check the picture below.

$(x+6)^2=x^2+12^2\implies (x+6)(x+6)=x^2+144 \\\\\\ \stackrel{F~O~I~L}{x^2+12x+36}=x^2+144\implies 12x+36=144\implies 12x=108 \\\\\\ x=\cfrac{108}{12}\implies x = 9$

You might be interested in

Grandma baked 96 cookies and gave them to her grandchildren. one of the grandchildren, cindy, received 5 fewer cookies than she

professor190 [17]

If all the h grandchildren will receive equal amounts of cookies then, the number of cookies that each will receive is,
96/h
Then, Cindy will receive
96/h - 5 candies

7 0

3 years ago

Read 2 more answers

Each shape is 1 whole. What fraction is represented by the shaded part of the model?

lubasha [3.4K]

Answer:

$\frac{2}{1}$

Step-by-step explanation:

Each shape is 1 whole.

In the given image, there are 4 parts in each shape.

The shaded part in the first shape is 4.

The fraction of the shaded part in the first shape

$=\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}$

The shaded part in the second shape is 4.

The fraction of the shaded part in the second shape

$=\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}$

The shaded part of the model $=\frac{4}{4}+\frac{4}{4}$

$=\frac{1}{1}+\frac{1}{1}$

$= \frac{2}{1}$

Hence, the fraction represented by the shaded part of the model is $\frac{2}{1}$ .

5 0

3 years ago

Write an equation for the cubic polynomial functior

d1i1m1o1n [39]

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

whose graph has zeroes at 2, 3, and 5.

Zeros mean:

x=2, x=3 and x=5

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

$(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\$

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

Learn more about Polynomial Function at:

#learnwithBrainly

6 0

3 years ago

Find the length of the variable .

ira [324]

DONT CLICK THE LINK!!!

THEY WILL FIND YOU ADDRESS

I REPEAT DONT CLICK THE LINK!!!!!!

5 0

3 years ago

What was the result of the Pequot War?

WITCHER [35]

Answer:

C, almost all of the Pequot were killed.

Step-by-step explanation:

The war concluded with the decisive defeat of the Pequot. At the end, about 700 Pequots had been killed or taken into captivity. Hundreds of prisoners were sold into slavery to colonists in Bermuda or the West Indies; other survivors were dispersed as captives to the victorious tribes.

4 0

3 years ago

Read 2 more answers