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3 years ago

If SU= 2x - 12, find SU

1 answer:

7 0

SU = 2x - 12
+12 on both sides
12 = 2x
/2 on both sides
6 = x

x = 6

SU = 2x - 12
SU = 2(6) - 12
SU = 12 - 12
SU = 0

Answer:
SU = 0

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Answer this really quick

ivann1987 [24]

Answer:

the equation is y = ax + b (a ≠ 0)

see in the graph, the line passed through (0;3) and (1;5)

=>b = 3

a + b = 5

<=> a = 2

b = 3

=> the equation is y = 2x + 3

Step-by-step explanation:

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2 years ago

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Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

olya-2409 [2.1K]

Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
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3 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

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3 years ago

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In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 200 tests

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Answer:

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Step-by-step explanation:

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Because the the null hypothesis is true so it is denoted by α it also defined as the level of significance =1 - confidence level = 1 - 0.02 = 0.98.

So the number of the tests will incorrectly find significance:

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By definition a counting number is all non-negative integers.

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