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MAXImum [283]
2 years ago
13

What is an equation of the line that passes through the point (3,-8) and has a slope of -2​

Mathematics
1 answer:
makvit [3.9K]2 years ago
3 0

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

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As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change
Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

5 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST IF RIGHT! 3 QUESTIONS!
andrey2020 [161]

Answer:

Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. for Jay 10 quarts would be the answer. Step-by-step explanation: He needs x quarts for the inside painting and x + 19 quarts for the outside. These two measures add up to 2x + 19, which equals 107 (quarts) total. The last one is tring A is 35 cm long, string B is 5 times as long as string A, then string B is 35·5=175 cm long. In total both strings have length 35+175=210 cm. The total length of string needed for 17 identical decirative bottes is  cm that is 35.7 m.

4 0
2 years ago
Rewrite the set M by listing its elements. Make sure to use the appropriate set notation
Anika [276]
We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.
8 0
3 years ago
What is the area of the triangle?
fomenos

Answer:

1012.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena
Rainbow [258]

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

7 0
3 years ago
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