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4 years ago

Apply the distributive property to factor out the greatest common factor. 20+4k =

Mathematics

2 answers:

Delicious77 [7]4 years ago

8 0

Answer:

4(5+K)

Step-by-step explanation:

FACTOR 4 OUT OF 20+4K

GREATEST COMMON FACTOR IS 4

Y_Kistochka [10]4 years ago

8 0

Answer:

20 + 4k = 4(5 + k)

Step-by-step explanation:

1. Find the highest common factor of 20 and 4.

One way is to use the method of upside-down division.

2) 20 4

2) 10 2

5 1

We continue dividing until we get two numbers that are relatively prime, that is, they have no common factors other than 1.

There are two 2s on the side, so the highest common factor of 20 and 4 is 2 × 2 = 4.

2. Use the distributive property to factor the expression

The distributive property states that

a(b + c) = a·b + a·c

We can use this property to rewrite the expression as the product of the highest common factor and the other parts of the polynomial.

20 + 4k = 4(5 + k)

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B. The number of cats your teammates have as pets: 0, 1, 3,2

algol [13]

Ok so 1.2 is the answer you get if you divide them

and you can also say one because its counting by ones

7 0

3 years ago

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

$\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}$

As you can see the values are a valid solution for the linear equation.

So the solution is:

$-2(2)-2(-6)=8$

6 0

1 year ago

Find the area of the shaded region. Round the nearest hundredth if necessary. YZ=14.2m

andreyandreev [35.5K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$A_1 = 67.58 \ in^2$

$A_2 =415.4 \ ft^2$

$A_3 = 8.48 \ cm^2$

$A_4 = 480.38 \ m^2$

Step-by-step explanation:

Generally the area of a sector is mathematically represented as

$A = \frac{\theta}{360} * \pi r^2$

Now at $r_1 = 11 in$ and $\theta_1 = 64^o$

$A_1 = \frac{64}{360} * 3.142 * 11^2$

$A_1 = 67.58 \ in^2$

Now at $r_2 = 20 ft$ in and $\theta_2 = 119 ^o$

$A_2 = \frac{119}{360} * 3.142 * 20^2$

$A_2 =415.4 \ ft^2$

Now at $r_3 = 6.5 cm$ and $\theta_3 = 23 ^o$

$A_3 = \frac{23}{360} * 3.142 * 6.5 ^2$

$A_3 = 8.48 \ cm^2$

Now at $r_4 = 14.2 m$ and $\theta_4 = 360 -87 = 273 ^o$

$A_4 = \frac{273}{360} * 3.142 * 14.2^2$

$A_4 = 480.38 \ m^2$

6 0

3 years ago

Click on the graph below to create a triangle with vertices at the following points.

KatRina [158]

Well, since you didn’t upload the picture we can’t really show you the points, but all you do, is for the first one you go 5 up on the graph, and 0 to the side. and then just keep going!

4 0

3 years ago

MS LEE IS HANDING OUT WRISTBANDS AS STUDENTS ENTER THE THE DANCE THERE ARE 40 BLACK, 20 YELLOW .AND 15 PURPLE WRISTBAND

valina [46]

SO WHAT ARE WE TRYING TO FIND OUT

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4 years ago