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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!

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Ludmilka [50]
In short, let x be the height of the Light House
2.5/36 = 1.5/X

===> X= (36 x 1.5)/2.5 = 21.6 meters
5 0
3 years ago
I need help with these two
Dmitrij [34]

19.

A) 84 : 120 --) 7 : 10, I came up with it by knowing x, # of times ordered,

7(x) : 3(x) sum will be 120 and guessed from there.

B) Well I came up with it trying to get the ratio for A, 84 smoothies.

C) 84 ( smoothies) - 36 ( juice drinks)

20.

A) Ok you first have the birds from the first hour which sum up to 24. Then to calculate what of how many birds you saw for the second hour you use the ratio 2 (cardinals) : 3 ( chickadees) : 3 ( pigeons). Now before you use the ratio you need to know how many birds out of the 36 have not been seen in the first hour so just subtract 36 - 24 = 12. Next you figure out what number you can multiply every bird against to get a sum of 12 birds in total. I figured out it's 1.5 as a multiplier. I know physically it's not possible, but I did all the steps correct and apparently they don't care it's not realistic. I hope this helps you on the homework sheet.

8 0
3 years ago
What is the value of x? and how did you do it
Nana76 [90]

Answer:

x = 45

Step-by-step explanation:

These angles equal to each other. So...

2x + 6 = 96

2x = 90

x = 45

I hope this helps :)

4 0
2 years ago
Read 2 more answers
ZE is the angle bisector of measure YEX and the perpendicular bisector of GF, GX is the angle bisector of measure YGZ and the pe
den301095 [7]

Answer:

C

Step-by-step explanation:

The center of inscribed circle into triangle is point of intersection of all interior angles of triangle.

The center of circumscribed circle over triabgle is point of intersection of perpendicular bisectors to the sides.

Circumscribed circle always passes through the vertices of the triangle.

Inscribed circle is always tangent to the triangle's sides.

In your case angles' bisectors and perpendicular bisectors intesect at one point, so point A is the center of inscribed circle and the center of corcumsribed circle. Thus, these circles pass through the points X, Y, Z and G, E, F, respectively.

7 0
3 years ago
1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work
Alexandra [31]

Answer:

11

<em>or</em>

2(5)+2-3

Step-by-step explanation:

if a = 5 and b=2,

you add it into the expression.

2a + b -3 --> 2(5) + 2 - 3

all you have to do is replace the letters with the (given) numbers.

then, solve.

2(5) = 10

2-3= 1

10+1 =11

the answer is 11.

:)

8 0
3 years ago
Read 2 more answers
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