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3 years ago

What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.

Mathematics

1 answer:

lisov135 [29]3 years ago

3 0

Answer:

slope = 4

Step-by-step explanation:

recall that for a linear equation in the form:

y = mx + b,

m = slope of line and b is the y-intercept.

In our case, we are given

y = 4x

If we compare this with the general equation above,

we can see that m = 6 and b = 0

hence slope = m = 4

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The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Trian

kaheart [24]

The length of line segment BC is 10.5 inches.

Given that

The equation tan(55 degrees) equals 15/b, which can be used to find the length of Line segment AC.

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

We have to determine

What is the length of Line segment AC?

According to the question

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

Here, BC is not the hypotenuse of the right triangle ABC.

The length line segment AC is given by,

In triangle ABC

$\rm Tan\theta = \dfrac{Perpendicular}{Base}$

Where $\rm tan\theta$ = 55 degrees, Perpendicular = 15 and base is b.

Substitute all the value in the equation

$\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches$

Hence, the length of line segment BC is 10.5 inches.

To know more about Trigonometry click the link given below.

brainly.com/question/13350002

7 0

2 years ago

Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)

Alecsey [184]

Answer:11x^2y^3-4xy^2

Step-by-step explanation:

4x^2y^3+2xy^2-2y+7x^2y^3-6xy^2+2y

Combine like terms

5 0

3 years ago

Read 2 more answers

1.5 tons. To make the car faster, you replaced the steel body with carbon-fiber and reduced the weight by 300 pounds. How much d

Brums [2.3K]

1 ton = 2,000 pounds
1.5 tons = 3,000 pounds

After reducing the weight by 300 pounds,
the car now weighs

(3,000 pounds) - (300 pounds) = 2,700 pounds .

(that's 2,700/2,000 = 1.35 tons)

4 0

3 years ago

Evaluate each expression for a= -2, b = -4.1, and c=5.

scZoUnD [109]

Answers:

1) 7.1

2) -7.1

3) -3

Plug in the numbers

3 0

3 years ago

The nutrition information on the cereal box says that a 1/2-cup serving provides 150 calories and 3 grams of dietary fiber. At

Amanda [17]

<u>Answer:</u>

200 calories and 4 grams

<u>Step-by-step explanation:</u>

According to the nutrition information on the cereal box, we know that 1/2 cup gives you 150 calories and 3 grams of dietary fiber.

So one cup of cereal will give you the double of these nutrients:

300 calories and 6 grams of dietary fiber

Therefore, finding the number of calories and grams of fiber in 2/3-cup serving:

Number of calories = $\frac{2}{3}$ × $300$ = 200 calories

Grams of fiber = $\frac{2}{3}$ × $6$ = 4 grams

3 0

2 years ago