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3 years ago

Which equation represents the line that is perpendicular to y = 5x + 4 and passes through the point (-5, 2)?

Mathematics

1 answer:

Komok [63]3 years ago

3 0

Answer:

y = (-1/5)x + 1

Step-by-step explanation:

The slope of this perpendicular line is the negative reciprocal of the slope of the given line y = 5x + 4: -1/5.

Applying the slope-intercept form of the equation of a line, we get:

2 = (-1/5)(-5) + b, or:

2 = 1 + b

Therefore, b = 1 and the desired equation is:

y = (-1/5)x + 1

Please, if you are given answer choices, share them.

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This is the question can someone help

agasfer [191]

Answer:

The coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

Step-by-step explanation:

Given the coordinates of the vertices QRS

The coordinates of the vertex Q is (-2, 3)

The coordinates of the vertex R is (-5, -3)

The coordinates of the vertex Q is (2, -4)

As we know the rules of translation that:

If you move horizontally 'c' units to the left, then 'c' units are subtracted to the x-coordinate of each of the vertices.

if you move 'c' units up, then 'c' units are added to the y-coordinate of each of the vertices.

Translation 6 units up and 4 units to the left.

(x, y) → (x - 4, y + 6)

As the triangle Q'R'S' is the image of the triangle QRS translated 6 units up and 4 units to the left.

So,

the coordinates of Q' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-2 - 4, 3 + 6) = (-6, 9)

the coordinates of R' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-5 - 4, -3 + 6) = (-9, 3)

the coordinates of S' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (2 - 4, -4 + 6) = (-2, 2)

Therefore, the coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

6 0

3 years ago

Which statement ,begin emphasis,best,end emphasis, describes the data in the scatter plot?

telo118 [61]

Answer:

Step-by-step explanation:

6 0

2 years ago

Find the perimeter. Simplify your answer.

Aloiza [94]

we have: $P=(7c-5) +(10c-2) + (7c-5) = 7c-5+10c-2 + 7c-5=24c-12$

ok done. Thank to me :>

4 0

2 years ago

Find the height of the triangle

Paul [167]

There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle ' $\alpha$ ' in a right triangle, ' $sin( \alpha )$ ' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:
$sin(20)= \frac{x}{10}$

Now, we solve for x:
$x=10sin(20)=3.42$

So, answer is 3.4

7 0

4 years ago

Read 2 more answers

If <1 and <2 are complementary angles, and m<1 = 74 degrees ; find m<2.

makvit [3.9K]

Answer:

74+<2=90

<2=90-74

<2=16

6 0

3 years ago