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3 years ago

Find the y-intercept and x-intercept of the line. 2x+3y= -14

Mathematics

1 answer:

Komok [63]3 years ago

7 0

Answer:

X-intercept: (-7, 0)

Y-intercept: (0, -14/4)

Step-by-step explanation:

To find the intercepts plugin 0 for one variable and solve

2x+3(0)=-14

x=-7

2(0)+3y=-14

y=-14/3

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There are 12,000 people attending a concert. They announce that 20% of the people that purchased tickets did not come to the con

Marysya12 [62]

Answer:

15,000

Step-by-step explanation:

20% of 15,000 is 3,000. 15,000-3,000=12,000

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3 years ago

The central angle of a circle is equal in measure to one radian when the corresponding arc length is equal to which of the follo

irinina [24]

The formula to find the arc length L is
L = r*theta
where r is the radius and theta is the central angle in radians (this formula will not work if theta is in degrees)

If the central angle is 1 radian, then theta = 1 and
L = r*theta
L = r*1
L = r
So the arc length is the same as the radius

Answer: Choice A) The radius of the circle

5 0

3 years ago

Read 2 more answers

Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

3 years ago

How many pounds must a sand bag weigh to test if a safety net can absorb the proper amount of force?

Agata [3.3K]

its 400lbs
hope i helped

4 0

3 years ago

I need the correct answer and explanation

Arada [10]

Answer:

D - The elevator traveled upward at a rate of 2(2/5) feet per second.

Step-by-step explanation:

Okay, this is almost like kinematics, which deals with physics.

Here are your given values:

Position 1 = 70ft [down]

Position 2 = 10ft [down]

Change in time (Δt - time - scalar) = 25 seconds

The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.

So, we can use this equation to figure out the change in position.

Δd = d₂-d₁ = 10ft [down] - 70 ft [down] = 60ft [up]

The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.

So, we can use this equation to solve.

v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].

Now, we need to change 2.4 ft / second [up] into a fraction.

2.4 -> 2 (4/10) -> 2 (2/5)

All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.

4 0

3 years ago