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alex41 [277]
3 years ago
5

(I already did the first half, the Pythagorean theorem part, and the rest is easy I know that for a fact but I don't know how to

do it.)
Find CU. If necessary, round answers to 4 decimal places Show all your work for full credit. Hint: Use the Pythagorean Theorem first.

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

3

Step-by-step explanation:

You'll need to use the Angle Bisector Theorem.

CU / ZU = BC / BZ

From the first part of the problem, you used Pythagorean theorem to find that BZ = 10.

Let's say that CU = x.  That means ZU = 8 − x.  Plugging in values:

x / (8 − x) = 6 / 10

Cross multiply:

10x = 6(8 − x)

Solve:

10x = 48 − 6x

16x = 48

x = 3

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What is the equation of the line in slope-intercept form?
Contact [7]

Answer:

slope is 3

Step-by-step explanation:


4 0
3 years ago
Which exponential function has the greatest average rate of change over the interval [ 0 , 2 ]
PIT_PIT [208]

The exponential function which has the greatest average rate of change over the interval [0, 2] is option B.

<h3>How to calculate the average rate of change?</h3>

Mathematically, the average rate of change between two (2) points can be calculated by using this expression;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

For option A, we have:

when x = 0;             when x = 2;

y = 3(1.6)^x               y = 3(1.6)^x

y = 3(1.6)^0              y = 3(1.6)^2

y = 3.                        y = 7.68

ΔA = (7.68 - 3)/(2 -0) = 2.34.

For option B, we have:

ΔA = (9 - 4)/(2 -0) = 2.5.

For option C, the exponential function has a common ratio of 2.

ΔA = 2.

For option D, we have:

ΔA = (10 - 8)/(1 -0) = 2.

In conclusion, we can logically deduce that the exponential function which has the greatest average rate of change over the interval [0, 2] is option B i.e 2.5.

Read more on average rate of change here: brainly.com/question/3493733

#SPJ1

5 0
1 year ago
Solve the quadratic equation. z^2+16z+44=0
Eduardwww [97]
The answer is In the picture

3 0
4 years ago
The value of a precious gem stone has increased at a rate of 105% each year. If the gem"s value started at $10 in 1995 ,How much
Pachacha [2.7K]
2,014−1,995=19years
A=10×(1+1.05)^(19)
A=8,381,531.09
5 0
3 years ago
Parallel to y = -2/5 and passes through 2, -8
Sophie [7]

Answer:

y = -8

Step-by-step explanation:

When y = -2/5, the slope is 0.

Seeing this, we can make the equation the same as the y-value of the point given.

Hence,

y = -8

<em>Feel free to mark this as brainliest! :D</em>

6 0
3 years ago
Read 2 more answers
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