How many days are in an a decade

Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?

anyanavicka [17]

we know that

If two lines are parallel , then their slopes are the same

we will proceed to calculate the slope of each line to determine the solution.

The formula to calculate the slope m between two points of the line is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

case N 1) line AB

Let

$A(-4,3)\\B(4,3)$

substitute the values

$m=\frac{(3-3)}{(4+4)}$

$m=\frac{(0)}{(8)}$

$m=0$

$0\neq 3$

therefore

The line AB is not the solution

vase N 2) line FG

Let

$F(-3,-1)\\G(3,-3)$

substitute the values

$m=\frac{(-3+1)}{(3+3)}$

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

$m=-1/3$

$-1/3\neq 3$

therefore

The line EG is not the solution

case N 3) line CD

Let

$C(-3,0)\\D(3,2)$

substitute the values

$m=\frac{(2-0)}{(3+3)}$

$m=\frac{(2)}{(6)}$

$m=1/3$

$1/3\neq 3$

therefore

The line CD is not the solution

case N 4) line HJ

Let

$H(-1,-4)\\J(1,2)$

substitute the values

$m=\frac{(2+4)}{(1+1)}$

$m=\frac{(6)}{(2)}$

$m=3$

$3=3$

therefore

The line HJ is the solution

therefore

the answer is the option

line HJ

7 0

3 years ago

Read 2 more answers

Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

4 0

3 years ago

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Mademuasel [1]

Using translation concepts, it is found that the equation that represents the new function is:

$y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

<h3>Translation:</h3>

The function goes through these following translations:

Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$ .

Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$ .

Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$ .

Then, the equation is:

$y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

3 0

2 years ago

Is 2.64 greater or less than 1.9?

Schach [20]

2.64 is greater than 1.9

4 0

3 years ago

What is 100x100= pls i will mark brainly if correct

BabaBlast [244]

Answer:

10000

Step-by-step explanation:

8 0

3 years ago