All categories

2 years ago

Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3

Mathematics

1 answer:

Doss [256]2 years ago

4 0

Answer:

Step-by-step explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

$d=\sqrt{(0-0)^2+(7-(-3))^2$

$d=\sqrt{0+(10)^2$

$d=\sqrt{0+100}$

$d=\sqrt{100}$

$d=10$

You might be interested in

a function f(x) is described by the ordered pair (x,y). if given the function is translated 2 units to the right and then reflec

OleMash [197]

The ordered pairs would be (x-2, -y).

Translating a graph to the right subtracts the number of units from the x-coordinate.

Reflecting across the x-axis negates the y-coordinate.

3 0

3 years ago

PLEEEEEEEEEEASSEEEEEEE ANSWER QUESTION IS DOWN BELOW WORTH 15 POINTS each

Svetllana [295]

A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given that the scale factor is 3:14. Therefore, the ratios can be written as,

(a) The ratio of the surface area of the model to the surface area of the original is,

Surface area Ratio = (3/14)² = 9/196

(b) The ratio of the volume of the model to the volume of the original.

Volume Ratio = (3/14)³ = 27/2744

Width Ratio = 3/14

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

3 0

2 years ago

If Tom has $⁢803 left after spending 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what

hjlf

He would have about $1,180 before paying for rent and the utilities.

4 0

3 years ago

Please answer quick! (Number the answers)

Oksana_A [137]

Answer:

All three are yes

Step-by-step explanation:

4. yes

5.yes

6.yes

8 0

3 years ago

Hi! Please help me, will mark brainliest!

PIT_PIT [208]

Answer:

p(t) = 0 for t = 1

p(t) = 1 for t = 1/8 = 8^-1

Step-by-step explanation:

the graph you will have to do yourself.

just go there and type in

$- log_{8}(x)$

well, don't type "log" in letters.

you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .

pick the

$log_{a}$

option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.

and then you see.

any logarithm is 0 for x (or t) = 1.

because any a⁰ = 1.

and the logarithm gives you that exponent of the base number that leads to the given x value.

in other words : a logarithm is the inverse function of an exponential function.

the exponential function is

y = a^x

and the logarithm then determines

$x = log_{a}(y)$

that is all.

and

$- log_{8}(x) = 1$

means that the logarithm itself delivered -1.

and 8^-1 = 1/8

so, p(t) = 1 for t = 1/8

5 0

2 years ago