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svet-max [94.6K]
4 years ago
7

Please please help me............

Mathematics
1 answer:
Cloud [144]4 years ago
5 0

Answer:

x = 12.

Step-by-step explanation:

2x + 6 + 4x + 2 = 2(5x - 20)     (The sum of the outer parallel sides = 2 * middle parallel line).

6x + 8 = 10x - 40

48 = 4x

x = 12.

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Help please! Suppose f(x) = x². What is the graph of g(x)= ⅓f(x)
horrorfan [7]

The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A

<h3>Graph of functions </h3>

From the question, we are to determine the graph of the given function

The function we are to determine its graph is

g(x) = 1/3 f(x)

From the given information,

f(x) = x²

Thus,

We are to determine the graph of

g(x) = 1/3 x²

First, we will determine some points on the given function

Find g(x) when x = -3

g(x) = 1/3 x²

g(x) = 1/3 (-3)²

g(x) = 1/3 × 9

g(x) = 3

Find g(x) when x = 0

g(x) = 1/3 x²

g(x) = 1/3 (0)²

g(x) = 1/3 × 0

g(x) = 0

Find g(x) when x = 3

g(x) = 1/3 x²

g(x) = 1/3 (3)²

g(x) = 1/3 × 9

g(x) = 3

Using the points above, the graph of the function is shown below

Learn more on Graph of functions here: brainly.com/question/9525508

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3 0
2 years ago
Complete the next three terms in the pattern below
yan [13]
Look for an addition/subtraction or multiplication/division patterns between numbers in the sequence.

1, 4, 9, 16, ...
if you look at what you add to get to the next number.

+3, +5, +7, ...
the pattern is adding consecutive odd numbers

16+9 = 25
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6 0
4 years ago
What is the slope of the line that passes through the points (8,-8) and (5,-1)?
dezoksy [38]

Hey there!

  • Answer :

\sf{ \purple{ \boxed{\bold{m =  -  \dfrac{7}{3} }}}}

\\

  • Explanation :

We are given the points \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} . To find the slope \sf{\purple{m}} of such a line, we use the slope formula which is the following:

\sf{ \purple{m} }=  \dfrac{\Delta y}{\Delta x}  =  \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}

\\

⇢Now, by plugging in our values, we get :

\sf{ \purple{m}} =  \dfrac{ \red{ - 1} -  \orange{( - 8)}}{ \green{5} \:   -  \:  \blue{8}}  =  \dfrac{ \:  \: 7 \: }{ -  3 \: }  \\  \\  \implies \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

Therefore, the slope of the line is \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

8 0
2 years ago
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Annie tried to solve a problem step by step: 7.5 + k = 10 7.5 + k - 7.5 = 10 - 7.5 step 1 k = 2.5 step 2 Find Annie's mistake: A
Law Incorporation [45]

Answer:

(C) Annie did not make a mistake

Step-by-step explanation:

To isolate the variable k in the equation 7.5 + k = 10, we'd have to subtract 7.5 from both sides so we just had k on one side.

This is exactly what Annie did, and therefore, her answer is correct.

Hope this helped!

5 0
4 years ago
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Marta_Voda [28]

Step-by-step explanation:

The Circumference is:

c = 2\pi \: r

Radius r is:

r =  \frac{d}{2}

So,

c = \pi \: d \\ d =  \frac{c}{\pi}  \\ d =  \frac{604}{\pi} \:  cm

6 0
3 years ago
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