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2 years ago

Line d has a slope of 7/6. Line e is perpendicular to d.what is the slope of line e?

Mathematics

1 answer:

Elenna [48]2 years ago

7 0

Answer:

Step-by-step explanation:

The slope of line e is -6/7

The slope of perpendicular lines are negative reciprocals which means the flip and turn negative.

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Find the value of'y'from the given figure<br><img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

<u>Skills needed: Angle Geometry</u>

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

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2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

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$y=30$

6 0

2 years ago

Evaluate (5-3)^3+ -3^2(6-3)

Alexeev081 [22]

Steps to solve:

(5 - 3)^3 + (-3)^2(6 - 3)

~Simplify

2^3 + (-3)^2(3)

2^3 + (-3)^6

~Solve exponents

8 + (-729)

~Subtract

-721

Best of Luck!

7 0

3 years ago

F(x)=x^2-5. a) f(x)=4

inysia [295]

Substitute in x to get:
4^2 = 16
16 - 5 = 9

3 0

3 years ago

Write the equation of a line perpendicular to 9x−4y=−5 that passes through the point (−9,3).

Oksana_A [137]

Answer:

4x + 9y = - 9

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 )

Given

9x - 4y = - 5 ( subtract 9x from both sides )

- 4y = - 9x - 5 ( divide terms by - 4 )

y = $\frac{9}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = $\frac{9}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{9}{4} }$ = - $\frac{4}{9}$ , then

y = - $\frac{4}{9}$ x + c ← is the partial equation

To find c substitute (- 9, 3 ) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = - $\frac{4}{9}$ x - 1 ( multiply through by 9 to clear the fraction )

9y = - 4x - 9 ( add 4x to both sides )

4x + 9y = - 9 ← equation in standard form

3 0

2 years ago

Find the next element in the pattern using a simple sentence.

arlik [135]

I think it’s AFBCDE you would just be moving F back one letter each time

4 0

3 years ago