Ryan is a construction worker and is about to put a roof on a new house. He has to measure the front of the roof which is in the shape of a triangle. He finds out the height of the triangle is 12ft and the base of the triangle is 24 feet. How many square feet of wood does he need to purchase to cover the front of the roof?

Hello!

This is a question about multiplying to get a polynomial answer.

Here we can use two strategies, which will get you the same strategy.

One is using a Punnett Square, and the other would be FOILing.

I personally like Punnett Squares, but I will use FOILing for the sake of being online.

FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.

Let's multiply the first terms.

(-d + e)(4e + d)

[tex]-4de[/tex]

The outside terms.

(-d + e)(4e + d)

[tex]-d^2[/tex]

The inside terms.

(-d + e)(4e + d)

[tex]4e^2[/tex]

The last terms.

(-d + e)(4e + d)

[tex]de[/tex]

Now you just add them together to find the polynomial.

[tex]-d^2+4e^2-4de+de[/tex]

[tex]-d^2+4e^2-3de[/tex]

There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.

Hope this helps!

B and E are the answers to find the product of (-d+e)(4e+d).

Answer:

144

Step-by-step explanation: You add both of the bases in which this case would be 12 and 6, giving you 18, multiply it by the height, 16, to give you 288 then divide it by 2.

Answer:

If this is a parallelogram:

∠y = 112°

corners opposite the 112° corners = 68°      [(360° - 112° - 112°)/2 = 68°]

∠z = 68° - 40° = 28°

∠x = ∠z = 28°

Answer:

x = 28°, y = 112°, z = 28°

Step-by-step explanation:

suppose it's a parallelogram,

in a parallelogram, opposite angles are congruent: y = 112°

40 + 112 + x = 180

=> x = 28°

If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z

Answer: i would say 30 + 20 - 10 - 20 - 0

sorry if i am wrong

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

x=-3 is not a solution

Step-by-step explanation:

well, lets plug it and and see!

6(-3)-19=3(-3)-10

-18-19=-9-10

-37=-19

-37 DOES NOT equal -19.

so x=-3 is not a solution

hope this helped! :)

Answer:

325 centimeters

Step-by-step explanation:

Answer:

D) (-2, -9)

Step-by-step explanation:

X( -11, 8)

M(-6.5, -0.5)

-11 - (-6.5) = -11 + 6.5 = -4.5

8 - (-0.5) = 8 + 0.5 = 8.5

To get from Midpoint to endpoint:

(x , y) → (x - 4.5, y + 8.5)

Y endpoint:

M(-6.5, -0.5) → (-6.5 + 4.5, -0.5 - 8.5)

Y( -2, -9)

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

cymath.com

Step-by-step explanation:

Answer:

all if you don't answer them

Answer:

first box is 24

second is -5

third is -6

Step-by-step explanation:

Answer:

D.39

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)

Using this:

(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)

15^2+36^2=(BC)^2 (Substitution)

225+1296=(BC)^2

(BC)^2=1521

BC=39

Answer:

D. 39

Step-by-step explanation:

The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.

Adding the angles shown here,

36+15+90 = 141

And, 180 - 141 = 39°.

Therefore, the length of angle BC is 39°.

Answer:

1st option

Step-by-step explanation:

Given the 2 equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

Substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19

Answer:

When the difference in means is around 20

Step-by-step explanation:

U welcome

Answer:

D.

Step-by-step explanation:

If you trying to find 1/7 of a number, divide by 7.

780,000/7 = 111428

It says approximately so it won't be the exact answer

Answer:

x=2.371

Step-by-step explanation:

Subtract 8.63 from both sides

x+8.63-8.63=11.001-8.63

x=11.001-8.63

x=2.371

Answer:

x = 14

∠ABD = 66

∠DBC = 24

Step-by-step explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90      (distribute 3)

3x + 24 + 2x - 4 = 90       (simplify)

5x + 20 = 90            (subtract 20 from both sides)

5x = 70            (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8)       (plug in 14)

∠ABD = 3 (14 + 8)      simplify

∠ABD = 3 (22)

∠ABD = 66

∠DBC = 2x - 4       (plug in 14)

∠DBC = 2(14) - 4     (simplify)

∠DBC = 28 - 4

∠DBC = 24

To check, 66+24=90.

Answer:

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Step-by-step explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Answer:

C

Step-by-step explanation:

The line rises up 8, and the run is 2, 8/2=4.

Answer:

4+28x

_____

7x

i think...

Answer:

9.5 or 9 1/2

Step-by-step explanation:

if their is a remainder ur answer is

9^r1

Answer: 5 gallons

Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1

Answer:

They are equal, its the equal sign

Step-by-step explanation:

6p+23    95

6(12)+23   95

95=95

Brainliest? :o

Answer:

Fungi and bacteria

Hope that helps!

Step-by-step explanation:

Answer:

fungi and bacteria

Step-by-step explanation:

Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken