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3 years ago

A line passes through the points (8, 1) and (6, 7). What is the slope of the line? Answer choices: A)-3 B) -1/3 C) 1/3 D)3

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer:

a) -3

Step-by-step explanation:

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Which relationship in the triangle must be true?

Paul [167]

We'll assume this is an arbitrary triangle ABC.

A) No, the sines of two different angles can be whatever they want

B) sin(B)=cos(90-B)

Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.

C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.

D) Just like A, different triangle angles often have different cosines.

Answer: Choice B

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3 years ago

What is the slope of the line that passes through the points (-4, -4)(−4,−4) and (-4, -9) ?(−4,−9)? Write your answer in simples

Akimi4 [234]

Answer:

undefined slope

Step-by-step explanation:

The points contain the same x-value. This means that the line is vertical.

All vertical lines have an undefined slope.

Hope this helps.

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2 years ago

Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game

Anarel [89]

A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50

6 0

2 years ago

3/9 + 3/27 = ? Adding fractions

RideAnS [48]

$\frac{3}{9}$ + $\frac{3}{27}$ equals $\frac{4}{9}$ .

First, simplify $\frac{3}{9}$ to $\frac{1}{3}$ and also $\frac{3}{27}$ to $\frac{1}{9}$ . Your problem should look like: $\frac{1}{3}$ + $\frac{1}{9}$ .
Second, find the least common denominator of $\frac{1}{3}$ and $\frac{1}{9}$ to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like: $\frac{1x3}{3x3}$ + $\frac{1}{9}$ .
Fourth, simplify to get the denominators the same. Your problem should look like: $\frac{3}{9}$ + $\frac{1}{9}$ .
Fifth, join the denominators. Your problem should look like: $\frac{3+1}{9}$ .
Sixth, simplify. Your problem should look like: $\frac{4}{9}$ , which is the answer.

4 0

3 years ago

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbp

Lapatulllka [165]

Answer:

a. 54.05 Mpbs.

b. 2.745... standard deviations.

c. The z-score is 2.745....

d. The carrier's highest data speed is significantly high.

Step-by-step explanation:

a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.

b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield $\frac{54.05}{19.69} = 2.745...$ standard deviations.

c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....

d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.

8 0

3 years ago