Translated 2 units right

Select the correct answer Which equation represents a line that is perpendicular to line MN?

taurus [48]

Answer:

D. y = 4x - 6

Step-by-step explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

6 0

3 years ago

Marvin Martian, Aly Alien, and Hank Human are all looking for a hidden spaceship. Their probabilities of

never [62]

Answer: Aly , Marvin, Hank

Step-by-step explanation:

Aly has the lowest with 20, Marvin has 30, and hank has 50. it says least to mostly likely to win

7 0

3 years ago

Read 2 more answers

In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0

3 years ago

Read 2 more answers

True or false: sec^-1(0.5) is undefined. explain your answer

ICE Princess25 [194]

Here we get the statement:

"sec^-1(0.5) is undefined"

And we want to see if this is true or false, so let's use the properties that we know to find that this is false.

Remember that the sec function is defined as:

$sec(x) = \frac{1}{cos(x)}$

Then we will have:

$sec^{-1}(x) = (\frac{1}{cos(x)})^{-1} = cos(x)$

Then is really trivial to see that:

$sec^{-1}(0.5) = cos(0.5) = 0.878$

Then we can conclude that the function is not undefined at 0.5, so the statement is false.

Below you can see the graph of the given function, and you will see that it is never undefined.

If you want to learn more, you can read:

brainly.com/question/16453813

6 0

3 years ago

Read 2 more answers

Multiple Select Which of these careers require working in dangerous situations, with hazardous chemicals, and/or taking risks? a

strojnjashka [21]

Answer:

b

Step-by-step explanation:

edmentum

3 0

3 years ago