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3 years ago

Please help with these problems! Will mark answer as brainliest and give 30 points. You have to show your work for each problem.

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

1) (2x + 2)(x + 2)

2) 2(x + 1)(x - 1)

3) (x^2 + 3)(x^2 - 3)

4) 2x(x + 5)(x - 2)

5) (5x + 2y)(5x - 2y)

Step-by-step explanation:

2x^2 + 6x + 4

= 2x^2 + 4x + 2x + 4

= 2x(x + 2) + 2(x + 2)

= (2x + 2)(x + 2)

2x^2 - 2

= 2(x^ 2 - 1) (The difference of two squares)

= 2(x + 1)(x - 1)

x^4 - 9 (The difference of two squares)

=(x^2 + 3)(x^2 - 3)

2x^3 + 6x^2 - 20x

= 2x(x^2 + 3x - 10)

= 2x(x + 5)(x - 2)

25x^2 - 4y^2 (The difference of two squares)

= (5x + 2y)(5x - 2y)

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How do I find each measure? Please I need answers ASAP it's due at 1:50

Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

$\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}$

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

$\begin{gathered} 44+y=180\text{ (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}$

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

$\begin{gathered} 136+z+z=180_{}\text{ (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}$

So measure of angle ABC is 22 degrees.

3 0

1 year ago

8. Solve for y:<br> 24 = 3y

Gnom [1K]

Answer:

y=8

Step-by-step explanation:

24/3=8

3*8=24

hope this helps :3

if it did pls mark brainliest

4 0

3 years ago

P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left

olchik [2.2K]

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read

Step-by-step explanation:

Given the equation

P=-30h+74

where p =number of pages left to read and

h= the number of hours he has spent reading

Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be

P=-30h+74

14= -30h + 74

30h= 74-14

30h= 60

h = 60/30

h =2 hours

Ethan will have to spend 2 hours reading if 14 pages are left to read

6 0

2 years ago

6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The

Rama09 [41]

Answer:C it’s bc it says at least 12 time the number subtracted from 76

Step-by-step explanation:

If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly

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2 years ago

PLEASE I NEED HELP!!!!!!!!

leonid [27]

Use distributive property in order to find the equivalent pieces of oi

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3 years ago