1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nostrana [21]
2 years ago
9

Factor 4x2 + 24x + 36.

Mathematics
1 answer:
djverab [1.8K]2 years ago
8 0

Answer:

\huge\boxed{\text{A) } 4(x+3)(x+3) }

Step-by-step explanation:

In order to factor this, we need to factor out a common term and then solve for x.

We can see that we can factor out a 4 from this entire equation as each term is a multiple of 4.

This leaves us with 4(x^2+ 6x + 9).

We can now solve for x for the expression in the parentheses, x^2 +6x + 9.

To solve for x, we can use the <u>XBOX</u> method. This tells us that:

  • When the two roots are added, they will equal b (in this case, 6)
  • When the two roots are multiplied, they will equal c (in this case 9)

Experimenting with some numbers gets us with 3 and 3 - 3+3 = 6 and 3*3 = 9.

Therefore, our roots will be (x+3)(x+3).

Putting that back into the factorization of our original expression, that leaves us with 4(x+3)(x+3).

Hope this helped!

You might be interested in
Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
NeTakaya
$88.76 - $6.34 - $35.70 -$18.77 = $27.95
6 0
3 years ago
What are the constants in the equation 2x - 10 + 5y?
Bumek [7]
The constants are 2, -10, and 5

the variables are x and y
6 0
3 years ago
Read 2 more answers
I need help with these problems
Lapatulllka [165]

Measure of ∠C = 77°

And,  Sides of triangles are;

a = 0.95

b = 0.566

c = 0.99

What is Sine rule of triangle?

By the definition of sine rule,

sin A / a = sin B / b = sin C / c

Where, a, b, c are sides of a triangle.

Given that;

Measure of ∠A = 27°

Measure of ∠B = 76°

Since, Sum of all angles of triangle = 180°

Hence,

∠A +  ∠B +  ∠C = 180°

27° + 76° + ∠C = 180°

∠C = 180° - 103°

∠C = 77°

So, Measure of ∠C = 77°

Since, By the definition of sine rule,

sin A / a = sin B / b = sin C / c

Since, sin A = sin 27° = 0.95

sin B = sin 76° = 0.566

sin C = sin 77° = 0.99

Hence,

0.95 / a = 0.566 / b = 0.99 / c = 1 / k

Taking terms as;

0.95 / a = 1 / k

a = 0.95 k

And, 0.566 / b = 1 / k

b = 0.566 k

And, 0.99 / c = 1 / k

c = 0.99 k

Hence, Sides of triangles are;

a : b : c = 0.95 k : 0.566 k : 0.99 k

a : b : c = 0.95 : 0.566 : 0.99

Thus, Measure of ∠C = 77°

And,  Sides of triangles are;

a = 0.95

b = 0.566

c = 0.99

Learn more about the sine rule visit:

brainly.com/question/27174058

#SPJ1

7 0
1 year ago
PLEASE HELP ASAP ILL GIVE 20 FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWER!!!
Oliga [24]

Answer:

The answer is A

Step-by-step explanation:

10 × $500

2 × $600

7 0
3 years ago
Read 2 more answers
The area of a rectangular portion of a national park is (48x^2+16x)square km. If the length is 8x km long, what is the width, in
nikitadnepr [17]
Area is equal to width times length: 
A = w*l
We know A <span>(48x^2+16x), l = 8x. Plugging into the equation:
</span><span>(48x^2+16x) = 8x * w             Divide both sides by 8x
6x + 2 = w 

The answer is width = (6x +2)km
</span>
6 0
3 years ago
Other questions:
  • These angels are equal. What are they called?
    5·1 answer
  • Multiply and Simplify. 4x+4/x^2 × (x+2)(x-1)/x+1
    13·1 answer
  • What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
    11·2 answers
  • Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a
    12·1 answer
  • What is the value of this expression? 1.25 + 8.25 × 4 ÷ (4.75 + 0.75) Group of answer choices 6.91 7.25 8.75 8.95
    7·2 answers
  • The dimensions of a right rectangular prism are 3/2 ft, 1/2 ft, and 2ft. What is the volume of this prism ?
    10·1 answer
  • If m &lt;1=45°,Which other angles have a measure of 45°? check all that apply<br>​
    6·1 answer
  • HELP HELP ASAP!!! ANYONE ANYONE
    12·1 answer
  • There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for
    9·1 answer
  • Solve 5ax + 6 ax = 7ax+ 8 for x. Assume a # 0. O A. x = = B. x = 2a ( C. 2 = D. x = a n​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!