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3 years ago

Write the equation of a line through the two points in (-2,8) and (5,-1)

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

(-2, 8) and (5, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 8) / (5 + 2) = -9/7

y = -9/7x + b

8 = -9/7(-2) + b

8 = 18/7 + b

8 = (2.57) + b

b = 5.43

y = -9/7x + 5.43

parallel = same slope

y = -9/7x

perpendicular = reciprocated slope

y = 7/9x

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Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

valentinak56 [21]

Answer:

tan(θ) = 0, 0.577, -0.577

Step-by-step explanation:

3tan³(θ) - tan(θ) = 0

tan(θ)(3tan²(θ) - 1) = 0

tan(θ) = 0

tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)

tan(θ) = 0, sqrt(⅓), -sqrt(⅓)

tan(θ) = 0, 0.577, -0.577

To find θ values, domain is required

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3 years ago

Find x so the distance between ( x , 4 ) and ( 3 x + 1 , − 4 ) is 10

Sonja [21]

Answer:

3456

Step-by-step explanation:

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3 years ago

Without measuring angles what is the measure of angle A′ OB ′?

Ede4ka [16]

Answer:

That isn’t possible

Step-by-step explanation:

8 0

3 years ago

rewrite the polynomial 2y^2+ 6y^3-11-17y^4+8y^5 in the standard form also find its degree and coefficient of y^4

OleMash [197]

Answer:

The standard form is 8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

The degree of given polynomial is '5'

the co-efficient of y⁴ is '-17'

Step-by-step explanation:

Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵

The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.

The form ax⁵ + b x⁴ + c x³ +d x² +ex +f is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial

now Given polynomial is 2 y²+ 6 y³-11-17 y⁴+8 y⁵

The standard form is

8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

Conclusion:-

The degree of given polynomial is '5'

The co-efficient of y⁴ is '-17'

5 0

3 years ago

The map shows the route for a race.You are at X, 6000 ft from the first checkpoint C.The second checkpoint D is located at the m

Alex

Answer:

Distance between the two check point (C and D) is 4920 ft.

Step-by-step explanation:

From the question given above, we obtained the following information:

X is 6000 ft from C (1st check point)

D (2nd check point) is the midpoint point between C and Y ( the end of the race)

Total race = 3 miles

1 mile = 5280 ft

Next, we shall express the total race in feet (ft).

This is illustrated below:

1 mile = 5280 ft

Therefore,

3 miles = 3 × 5280 = 15840 ft

Next, we shall determine the distance between the 1st check point (C) and the end of the race (Y)

This can be obtained as follow:

Total distance = 15840 ft

Distance between X and C = 6000 ft

Distance between C and Y =?

Distance between C and Y = (Total distance) – (Distance between X and C)

Distance between C and Y = 15840 – 6000

Distance between C and Y = 9840 ft

Finally, we shall determine the distance between the two check point (C and D) as follow:

Since D is midpoint between C and Y, therefore, we shall we shall divide the distance between C and Y by 2 in order to obtain the distance between the two check point (C and D).

This is illustrated below:

Distance between C and Y = 9840 ft

Distance between the two check point (C and D) = 9840/2 = 4920 ft

Therefore, the distance between the two check point (C and D) is 4920 ft

5 0

3 years ago