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3 years ago

Determine the intercepts of the line. y = 8x – 18 y-intercept: x-intercept:

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

Step-by-step explanation:

for y-intercept

x=0 so,

y=8 (0)-18

y=0-18

y= -18

for x-intercept

y=0 so,

0=8x-18

8x=18

x=2.25

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nirvana33 [79]

34. x - 3 = 8x + 4
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35. -6 = -x - 2y
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36. 4x + 6y = 2000
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2 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

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2 years ago

Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure

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