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vesna_86 [32]
3 years ago
6

Apply the distributive property to find and match the correct answer to the equation.

Mathematics
2 answers:
victus00 [196]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

apply the distributive property, and youll have no problem finding the answer of x=8.

Arlecino [84]3 years ago
5 0

Answer:

the answer for -5x+6(4x+15)+242 is x= 12

Step-by-step explanation:

hope this helps

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Which expression is equivalent to 24 Superscript one-third?
Ivahew [28]

Answer:

See explanation

Step-by-step explanation:

The given expression is: (24)^{\frac{1}{3}}

Recall that 24=3*8

\implies(24)^{\frac{1}{3}}=(8*3)^{\frac{1}{3}}

Recall again that:

(a*b)^n=a^n*b^n

\implies (8*3)^{\frac{1}{3}}=(8)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2^{3*\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2*(3)^{\frac{1}{3}}

We rewrite in radical form to obtain

\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}

6 0
3 years ago
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How does the area of the polygons compare to π? ( π is 3.14)
soldi70 [24.7K]

The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…

You can find the area of a circle if you know the circle’s circumference by using these steps:

<span>1.         Divide the circumference by π to find the diameter of the circle.</span>

<span>2.         Divide the diameter by 2 to find the radius of the circle.</span>

<span>3.         Now that you have the radius you can use the formula Area= πr2 to find the area of the circle.</span>


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Gennadij [26K]

Answer:

1) 70 for both of them

2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range

3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR

4) A: 80, B: 85

5) A: 65, B: 60

6) 50

7) 100

8) Plot B, see #2 for work

9) 50% - 50% of data is always between Q1 and Q3

10) 25%

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8 0
2 years ago
Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)
xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

              $=\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinate.

$ \frac{m+h}{2}=\frac{x}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$\frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

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