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Anastaziya [24]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25

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A math test is worth 100 points and has 30 problems.
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LOTS OF POINTS!?!?!?Write a linear function f with the values f(5)=−1 and f(0)=−1.<br> f(x)=
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Answer:

The euation of the linear function is:

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Step-by-step explanation:

As the function has the values

  • at x = 5, f(5) = -1
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Thus, the two points are:

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  • (0, -1)

Finding the slope between (5, -1) and (0, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)

m=\frac{-1-\left(-1\right)}{0-5}

m=0

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

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Please find the attached image

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Set h'(x) = 0 to find the critical point

-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8

Plug the time back into the function to find the height.

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= 2.4

And I don't understand your second question.
5 0
4 years ago
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