The nth term of 1, 2, 4, ... is

The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and

notsponge [240]

Answer:

D. y=-2x-6

Step-by-step explanation:

First start with what we know....

y = -2x + 3 (Slope Intercept Form)

Because of this we can eliminate B.

Parallel means that the lines wouldn't be touching which means they should have the same slope and the only one with the same slope is D.

7 0

3 years ago

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Solve the system of equations using elimination/combinations-2x -y = -4 x + 2y =5

sweet-ann [11.9K]

Answer:

x = 1, y = 2

Step-by-step explanation:

In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.

In this problem, we have the following two equations:

$-2x-y=-4\\x+2y=5$

To solve the system, first we multiply by 2 both sides of the second equation, and we get:

$2(x+2y)=2(5)\\2x+4y=10$

So now the system is

$-2x-y=-4\\2x+4y=10$

Now we add the two equations, and we get:

$(-2x+2x)+(-y+4y)=(-4+10)\\3y=6$

So, we get

$y=\frac{6}{3}=2$

Now we can substitute this value of y into the eq.(2), and we get:

$x+2y=5\\x+2(2)=5\\x+4=5\\x=5-4=1$

3 0

3 years ago

In the pup tent shown at the right, the two sides meet at the top to form a 72 angle. If the tent pole bisects the angle, what a

Sphinxa [80]

Answer:

36°

Step-by-step explanation:

The image of the question is obtained online and attached to the solution of this question.

The tent pole is the line in the middle of the triangle and it is stated explicitly in the question that this tent pole bisects the angle that the two sides make with each other at the top.

So, the angle that the tent pole makes with each side = (72°/2) = 36°

Hope this Helps!!!

4 0

3 years ago

Starting at 6:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different tim

fredd [130]

Answer:

First, we know that the 0 in the horizontal axis corresponds to the noon.

Then:

a) Lin's elevation at noon in meters.

We need to see the elevation when x = 0.

This is the point that is just on top of the y-axis, we can see that when x = 0, we have y = 6.

Then at noon, her altitude was 6 meters.

b) At 8:00 am, her elevation was 2m

Remember that the x-component represents time, and x = 0 represents the noon.

8:00 am is 4 hours before noon, then 8:00am is represented with x = -4

and at this time her elevation is 2m, then y = 2.

This means that the point that represents this is (-4, 2)

c) At 4:00 pm Lin was at sea level (her elevation was 0m)

Same reasoning than before: x = 0 is the noon, then 4:00 pm is four hours after this, then 4:00 pm is represented with x = 4.

And here her altitude is 0m, then y = 0.

This point is written as (4, 0)

d) Here we can see that at 6:00 am her elevation was negative, and at 4:00pm her elevation is 0.

And we know that:

0 > negative numbers.

Then her altitude increased in this interval of time.

6 0

3 years ago

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You check 20 cartons of eggs. Three of the cartons have at least one cracked egg. What is the experimental probability that a ca

Solnce55 [7]

$\frac{3}{20}$ or 15%

Hope this helps.

6 0

4 years ago

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