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4 years ago

I know the answer, I need to know how to solve

Mathematics

2 answers:

larisa [96]4 years ago

7 0

Answer:

k = 9

Step-by-step explanation:

For this, we can factor the top expression to look like the bottom expression.

So, first we have to find the gcf of 18 and $x^{2}$ and add up to 11x.

18 $x^{2}$ 11x

1 and 18 19 - No

2 and 9 11 - Yes

3 and 6 9 - No

So, the numbers are 2 and 9. The expression should now look like this:

$x^{2}$ + 2x + 9x + 18

Now, undistribute the terms.

x(x + 2) + 9(x + 2)

(x+2)(x+9)

This matches up with the bottom expression.

The value of k is 9.

V125BC [204]4 years ago

4 0

Answer:

do factorization..................

Step-by-step explanation:

u will get ........

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OleMash [197]

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3 years ago

Which expression is equivalent to

Yuri [45]

Answer:

10³⁰

Step-by-step explanation:

firstly working out without the power of 3

$( \frac{10 {}^{15} }{10 {}^{5} } )$

this is the same as 10¹⁵ ÷ 10⁵

here the bases are the same and it's division so we subtract the powers

15 - 5 = 10

10¹⁵ ÷ 10⁵ = 10¹⁰

we are left with (10¹⁰)³, multiply the powers

10 × 3 = 30

final answer = 10³⁰

3 0

2 years ago

Read 2 more answers

Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

4 0

3 years ago

The perimeters of two similar polygons are 20 and 28. One side of the smaller polygon is 4. Find the corresponding side of the l

Ipatiy [6.2K]

This is the concept of linear proportionality, the linear scale factor of the polygon given will be:
[perimeter of larger polygon]/[perimeter of smaller polygon]=[length of larger polygon]/[length of smaller polygon]
=28/20
=7/5
thus the length of the larger polygon will be given by:
7/5=x/4
thus;
7/5*4
=5.6
thus the length 5.6

5 0

4 years ago

Read 2 more answers

Write an inequality to represent the sentence. Then solve the inequality.

Genrish500 [490]

X/3 ≤15

X ≤45

Hope this helps!

5 0

3 years ago

I know the answer, I need to know how to solve​

I know the answer, I need to know how to solve