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3 years ago

Does y=-2x + 3 and y=x - 5 intersect on the y or x axis?

Mathematics

1 answer:

LenKa [72]3 years ago

6 0

Answer:

No, the 2 equations do not intersect on either the x or y axis

Step-by-step explanation:

To find the intersection point for this situation we can set the 2 equations equal to each other. Since they are both equal to y, they are equal to each other

-2x + 3 = x - 5

Solving the above problem will tell us the x value where the 2 equations have the same y value...

Get the x's to one side, and the constants to the other....

-2x - x = -5 - 3 (subtract x and 3 from both sides)

Now combine like terms...

-3x = -8

Divide both sides by -3 to isolate x

x = 8/3

Plug 8/3 in for 'x' into either equation to find the v-value

y = 8/3 - 5

y = 8/3 - 15/3

y = -7/3

The point of intersection is (8/3, -7/3)

No, the 2 equations do not intersect on either the x or y axis

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Find the midpoint of the line segment joining points A and B.<br> A(2,- 7); B(2,3)

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Answer: (2, -2)

Step-by-step explanation:

$\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)$

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1 year ago

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A man traveled 24 miles in 20 minutes and 18 miles in 15 minutes. Assume that the distance varies linearly with time. How far wi

Norma-Jean [14]

Step-by-step explanation:

First we need to get his speed:

speed = distance / time

If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute

If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute

Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.

Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles

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2 years ago

You are setting up a PCR reaction and add a primer for one end of the target sequence, but you forget to add the primer for the

Arlecino [84]

Answer:

It will carry out PCR.

Step-by-step explanation:

If only one primer is added, it can still form a product, which is used in the sequencing reactions. The product formed will be only single stranded because of the presence of single primer.

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4 years ago

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3

Phoenix [80]

Answer:

Answer 1.

Step-by-step explanation:

The complete question is:

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?

1. The image of the line has the same slope as the pre-image but a different y-intercept.

2. The image of the line has the same y-intercept as the pre-image but a different slope.

3. The image of the line has the same slope and the same y-intercept as the pre-image.

4. The image of the line has a different slope and a different y-intercept from the pre-image.

Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).

Consider also a line of equation $ax+by=c$ . From this equation, the slope of the line is given by the number $\frac{-a}{b}$ and the y-intercept is given by $\frac{c}{b}$ .

Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get

$3(3x)-5(3y) = 4 = 3 (3x-5y) = 4$

which is equivalent to

$3x-5y = \frac{4}{3}$

Note that comparing the equations 3x-5y=4 and $3x-5y=\frac{4}{3}$ the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.

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3 years ago

18.374 to the nearest hundredth

vodka [1.7K]

HEY THERE KORI! :)

the answer is: 18.37

I hope it helps

I'm sorry if my answer didn't meet your expectations

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3 years ago