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3 years ago

Simplify the expression below completely. 10-4(2x+7)

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

I got what that person said

alexandr1967 [171]3 years ago

6 0

Answer:

Step-by-step explanation:

10-4(2x+7) mult 2x+7 by -4

10-8x-28

combine like terms

-18-8x

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Find a polynomial for the sum of the shaded areas of the figure. A = 6, B = 4

soldi70 [24.7K]

Answer:

The polynomial for the sum of the shaded $\pi$ r² - 20 $\pi$

Step-by-step explanation:

Given as :

The figure is shown which is of concentric circle with radius B , A , r

The radius B = 4 unit

The radius A = 6 unit

Let The sum of shaded portion = x unit

Now, The circumference of circle = 2 $\pi$ R , where R is the radius

So, for circle with radius B.

The circumference = 2 $\pi$ R = 2 $\pi$ B

Or, The circumference = 2 $\pi$ × 4 = 8 $\pi$

Similarly

For circle with radius A.

The circumference = 2 $\pi$ R = 2 $\pi$ A

Or, The circumference = 2 $\pi$ × 6 = 12 $\pi$

Now, The area of circle with radius r is

Area = $\pi$ ×radius × radius

Or, Area = $\pi$ r²

Now,

The sum of shaded region area = The area of circle with radius r - ( The circumference with radius B + The circumference with radius A )

Or, The sum of shaded region area = $\pi$ r² - ( 8 $\pi$ + 12 $\pi$ )

Or, The sum of shaded region area = $\pi$ r² - 20 $\pi$

Hence The polynomial for the sum of the shaded area is $\pi$ r² - 20 $\pi$ Answer

5 0

3 years ago

Devon and Kylie each makr a cheese sauce. Devon uses 8 oz of cheese for every 9 oz of cream. Kylie uses 11 oz of cheese for ever

Rzqust [24]

Answer:

Kylie's sauce has a greater proportion of cheese.

Step-by-step explanation:

5 0

3 years ago

Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

3 0

3 years ago

Read 2 more answers

Move two match sticks to make squares.

Rasek [7]

Answer:

The one in the middle and the one on the right?

Step-by-step explanation:

3 0

3 years ago

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a wall is 2m at one end and 2.4m at the other end. the area of the wall is 26.4m squared. what is the length of the wall?

andrew11 [14]

Since the height is different on both ends, we can assume that the wall is a trapezoid. Knowing that, we can replace the measures we know in the formula and our onky variable is the length of the wall - we only need to isolate it. A= ((b+B)h)/2 26.4=((2+2.4)h)/2 52.8=4.4h h=12

6 0

3 years ago