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Kryger [21]
3 years ago
5

Given a point and a plane, how do you find a line that is parallel to the plane that passes through the point?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0
First we should solve the slope.
M1=M2 only if the lines are parallel...
and then we should take one point from our line and solve the equation with the standard line formula.

Y=m(x-X1) +Y1
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How do you find the lease common fatcor
8_murik_8 [283]

Answer:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.


Step-by-step explanation:


4 0
3 years ago
Select the solution to the graph from the following points. Select all that apply.
stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ m=\frac{1-0}{0--3}=\frac{1}{3}

- Substitute the value of m in the form of the equation

∴ y = \frac{1}{3} x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = \frac{1}{3} x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = \frac{1}{3} (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = \frac{1}{3} (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = \frac{1}{3} (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = \frac{1}{3} (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = \frac{1}{3} (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0
3 years ago
Help again pls im stuck andim timed
guapka [62]

Answer:

-7 degrees

Step-by-step explanation:

Make sure to double check, but I think this is the answer.

6 0
3 years ago
Read 2 more answers
Which of the sets of equations represent the two lines graphed?
Oksi-84 [34.3K]

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

\frac{x}{a}  +  \frac{y}{b}  = 1

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

\frac{x}{ - 2}  +  \frac{y}{2}  = 1

Multiply through by 2

- x + y = 2

Solve for y,

\boxed {y = x + 2}

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

\frac{x}{ - 4}  +  \frac{y}{ - 4}  = 1

Multiply through by -4

x + y =  - 4

Solve for y

\boxed {y =  - x - 4}

4 0
3 years ago
1. The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each l
liq [111]

Answer:

Rita = 300

John = 900

Rodell = 925

Step-by-step explanation:

rita = x (let

john = 3x ( john swims three times more than rita

rodell = 25 + 3x ( rodell swims 25 more than john

x + 3x + 25 + 3x = 2125

or, 7x + 25 = 2125

or, 7x = 2125 - 25

or, x = 2100/7

x = 300

hence,

x = 300

3x = 3 × 300

= 900

25 + 3x = 25 + 900

= 925

8 0
3 years ago
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