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3 years ago

I really need help with this one it's due today!!

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

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I NEED HELP ASAP PLZ!!!

polet [3.4K]

1. (7 , 0) and (11 , 3) → B and D

substitute each coordinate point into the left side of the equation and if equal to 21 then it is a solution.

( 7 , 0) → (3 × 7) - ( 4× 0) = 21 - 0 = 21

(11 , 3) → (3 × 11 ) - ( 4 × 3) = 33 - 12 = 21

2. ( 2 , - 9 ) is a solution to the equation

substitute the coordinates into the equation and if equal to 13 the it is the solution.

(2 , - 9 ) → (5 × 2 ) - (-9)/3 = 10 + 9/3 = 10 + 3 = 13

(3 , - 6) → (5 × 3) - (- 6)/3 = 15 + 6/3 = 15 + 2 = 17

thus (2 , -9 ) is the solution

4. x- intercept = (- 45 , 0)

to find the x- intercept let y = 0

1/3 x + 0 = - 15

1/3x = - 15

multiply both sides by 3

x = 3 × - 15 = - 45

thus x -intercept = ( - 45 , 0)

6 0

3 years ago

A mountain peak is 12,200 feet above sea level. The valley below is 218 feet below sea level. How far is it from the peak to the

Lady bird [3.3K]

11782 i may be wrong but i think i’m right

7 0

3 years ago

Read 2 more answers

The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what

harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

$\mu=25,\sigma=4,x_1=20,x_2=30$

The z-score formula is given by

$z-\text{score}=\frac{x-\mu}{\sigma}$

For $x_1=20$

$z_1=\frac{20-25}{4}\\\\z_1=-1.25$

For $x_2=30$

$z_2=\frac{30-25}{4}\\\\z_2=1.25$

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%

6 0

4 years ago

Read 2 more answers

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Soloha48 [4]

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = $\sqrt{184.96}$ = 13.6

6 0

2 years ago

What is the equation that represents the line?

Kryger [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = $\frac{-3+6}{2+2}$ = $\frac{3}{4}$ , thus

y = $\frac{3}{4}$ x + c ← is the partial equation

To find c substitute either ot the 2 points into the partial equation

Using (2, - 3), then

- 3 = $\frac{3}{2}$ + c ⇒ c = - 3 - $\frac{3}{2}$ = - $\frac{9}{2}$

y = $\frac{3}{4}$ x - $\frac{9}{2}$ ← equation of line

8 0

4 years ago