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2 years ago

The quotient of 38 times a number and -4

Mathematics

1 answer:

nikdorinn [45]2 years ago

4 0

Answer:

140y

Step-by-step explanation:

35 times a number times -4 is 35×y×(-4) which is -140y

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A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag

joja [24]

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)

y = √(61 - 25)

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0

2 years ago

What is the side length of a 36 inch cube

Vladimir [108]

The side length is 3 inches

<h3>What is the perimeter of a cube?</h3>

The formula for perimeter of a cube is given as:

Perimeter = 12 × side length

We have that;

Perimeter = 36 inches
Side length be x

Substitute into the formula

12x = 36

Divide both sides by 12

12x/12 = 36 / 12

x = 3 inches

The side length is x and equal to 3 inches.

Hence, the side length is 3 inches

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

8 0

1 year ago

Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile

True [87]

Answer: |3-(-8)|

Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = $|3-(-8)|$ miles=11 miles

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3 years ago

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Y =3x -1 has a gradient of 3. Write the equation of a line parallel to it

Ksenya-84 [330]

-3x+1 just do the opposite

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3 years ago

The ordered pair given in the bottom row can be written<br> using function notation as

Over [174]

where is the ordered pair?

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2 years ago

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