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Ksenya-84 [330]

3 years ago

7

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm. What are the dime

nsions of the rectangle?

1 answer:

Nat2105 [25]3 years ago

8 0

Let the width be x

The length would be 2x-5

So, 2(x+2x-5)=80

3x-5=40

3x=45

x=15.

So the width is 15 and the length would be 25.

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M<3 is (3x + 4) and m<5 is (2x +11)

butalik [34]

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. $(3x+4)+(2x+11)=180\°$

Part 3) Option B. $m$

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

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and

$m$

Part 2) we know that

$m$ -----> by consecutive interior angles (supplementary angles)

we have that

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$m$

so

substitute

$(3x+4)+(2x+11)=180\°$

Part 3) Find the measure of angle 5

we know that

$(3x+4)+(2x+11)=180\°$

Solve for x

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$5x=180\°-15\°$

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substitute the value of x

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8 0

3 years ago

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Identify the constants in the following expression. 3x + 7 + 4y - 7z + 9 + 2x - 5

amid [387]

Constants are anything that is not a variable. A variable is a letter. So think about it... What would be the constants? What is not a letter? TIP: Make sure you include - sign!_

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

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Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

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$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

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