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2 years ago

Solve −8x ≤ 2.

2 answers:

6 0

-8x ≤ 2
Divide both sides by negative 8. Remember that dividing both sides by a negative number flips the direction of the inequality.
x ≥ -(1/4)
-(1/4) can also be written as -0.25
Answer is C) x ≥ -0.25

zavuch27 [327]2 years ago

4 0

Hello Neisha

-8x ≤ 2

Divide both sides by -8

-8x≤ 2/-8

x ≥ -0.25

The correct answer is option C

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The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su

Wewaii [24]

Answer: 0.0667117 * $10^{6}$ miles

Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?

Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:

0,9863 degrees/day = 0,9863 degrees/(24 hours)

0,9863 degrees/day = 0.0411 degrees/hours

Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:

Total Circuference = 360° = 2*pi* R

Because Radius is variable for any circle. It is say that:

360° = 2*pi radians

WIth this relation, we can know how many radians are 0.0411 degrees

360/0.0411 = (2*pi)/x

x = (2*pi*0.0411)/(360)

X = 0.00071733032

X is how much the Earth travels per hour in Radians.

Multiplying per Radius:

Earth distance traveled per hour = 0.0667117 * $10^{6}$ miles

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2 years ago

Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that

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2 years ago

Read 2 more answers

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

$(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\$

The slope of the equation is given by

$m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\$

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

$m_2 = - \frac{1}{m_1}$

So the slope of the other line is

$m_2 = \frac{1 }{3} \\\\$

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

$(x_1, y_1) = (6, 4)$

The point-slope form is given by,

$y - y_1 = m(x -x_1)$

Substitute the value of slope and the coordinates of point C

$y - 4 = \frac{1 }{3} (x - 6)\\\\$

To get the y-intercept, substitute x = 0

$y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\$

So, the point is

$(x, y) = (0, 2)$

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

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2 years ago

In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr

soldier1979 [14.2K]

Answer:

1.06 x $10^{10}$ (3sf)

Step-by-step explanation:

using compound interest formula A = P $(1+\frac{R}{100}) ^{n}$

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x $10^{9}$ ) $(1 + \frac{5.9}{100}) ^{13}$ = 1.057 x $10^{10}$

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2 years ago

Wat is 1000 divided by 350

pochemuha

2.8571 i think im not sure

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2 years ago