Write an equation in slope-intercepts form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
EXPLAIN what you did in each step to arrive at your answer plz

Answers

Answer 1

Answer:

y = -5x + 21

Step-by-step explanation:

First, put 2x - 10y = 0 into slope intercept form to find the slope:

Subtract 2x from both sides:

-10y = -2x

Divide each side by -10:

-10y = -2x

y = 1/5x

So, the slope of the line is 1/5.

Perpendicular lines have opposite reciprocal slopes, so the slope of the other line will be -5.

Then, use the equation y = mx + b to plug in the slope and the point given.

Solve for b:

y = mx + b

-4 = -5(5) + b

-4 = -25 + b

21 = b

Lastly, plug in the slope and b into y = mx + b to create the equation in slope intercept form:

y = -5x + 21 is the equation


Related Questions

Find the y-intercept:
-14 - 7y = -7x

Answers

Answer:

yo, its

y=x−2

Step-by-step explanation:

Answer:

it is y = x-2

Step-by-step explanation:

Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation

Answers

9514 1404 393

Answer:

o + s > 243o +8s ≤ 200

Step-by-step explanation:

Let o and s represent the numbers of ornaments and stockings, respectively.

  o + s > 24 . . . . . . the total of gifts is more than 24

  3o +8s ≤ 200 . . . the maximum budget is $200

Which of the following are the coordinates of a rectangle with a length of 4 units and a width of 3 units in the coordinate plane?

A- (−2, 1), (−2, −2), (2, 1), (2, −2)
B- (4, 3), (0, 3), (4, 7), (0, 7)
C- (1, −4), (−1, −4), (1, 0), (−1, 0)
D- (5, 6), (−3, 6), (5, 1), (−3, 1)

Answers

A!!
-2 and 2 are the x values of the coordinates which are 4 units apart, being 4 units in LENGTH
1 and -2 are 3 units apart and them being in the y part of the coordinate it’s 3 units wide

PLZZZ HELP!!!! HURRY READ WHAT I SAY

Answers

Gucci Mannnnn got it like that

Answer:

omg

okay here:

"Gucci was founded in 1921 by Guccio Gucci in Florence, Tuscany. Under the direction of Aldo Gucci (son of Guccio), Gucci became a worldwide-known brand, an icon of the Italian Dolce Vita. Following family feuds during the 1980s, the Gucci family was entirely ousted from the capital of the company by 1993."

12/7 Lesson 9 Session 2 Review on Page 208 iready book volume 1

Answers

Answer:

I really dont understand u

The equation ý-x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?
2
65432,

Answers

Answer:

Your answer would be A. y=6!

Step-by-step explanation:

Have a nice day! :)

90% of the workers are men. If 590 people work for the company who aren't men, how many workers are there in all?

Answers

Step-by-step explanation:

do 590 divided by 90 if that doesn't work multiply it

The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?

Answers

Answer:

18 degrees

Step-by-step explanation:

it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST

Determine if the result of each product is a positive or negative integer

Answers

1. negative
2. positive
3. positive
4. negative
5. positive

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

the graph of y=x^2-8x+6 has a minimum point. write down the coordinates of this point

Answers

Answer:

this formula can't not calculate

15.3+1h=1.3−1h15, point, 3, plus, 1, h, equals, 1, point, 3, minus, 1, h h =h=h, equals

Answers

Answer: h= 6

Step-by-step explanation:

5 more than the product of 23 and a number n

Answers

Answer:

23n +5

Step-by-step explanation:

break down the expression into parts

5 more is +5

product is multiplication of 23 and n so 23n

then put it together

please give thanks :)

23n+5 is gonna be your answer easy

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?

Answers

Answer:

$ 37.50

Step-by-step explanation:

100% - 25% = 75%

75% = 0.75

50 × 0.75 = $ 37.50

The rabbit population in a certain area is 300​% of last​ year's population. There are 900 rabbits this year. How many were there last​ year? *
A - 300 rabbits
B - 2,700 rabbits

Answers

I believe it would be A

Answer:

-300

Step-by-step explanation:

find the percent of the number
105% of 400​

Answers

Answer:

105% of 400 is 420, the percent is 42000%

Step-by-step explanation:

pls help i give brainly ​

Answers

5.7 repeating , the last one !!

write the slope intercept form of an equation for the line passing through the following two points: (-2,8) and (-4,-4)​

Answers

Answer:

y=6x+20

Step-by-step explanation:

m= y2-y1/x2-x1

m= -4-8/-4-(-2)= 12/-2= 6/1

y= mx+b

y= 6x+b

8= 6(-2)+b

8=-12+b

+12  +12

b= 20

y=6x+20 is the slope intercept form.

What is the value of -3/5+ -0.75+4 7/10

Answers

Answer: 3.35

i think

Step-by-step explanation:

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.

To the nearest meter, how many meters are in 474 inches?

Answers

12.04 meters is 474 inches so 12 would be closest

please help me with this

Answers

y = -9 (you subtract nine every time)

Please find the domain and range!

Answers

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4
y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help

Answers

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

Answers

Answer:

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

x = 54

∴ The measure of each base angle = 54°

The measure of a base angle of one of the triangles is 54°

Can anyone simplify

3y+2y+y

Answers

Answer:

there all the same variables so it'll be 6y

Solve x−5≥1. please help me quick

Answers

Answer:

x greater than or equal to 6

[6, infinity)

Step-by-step explanation:

x-5+5 greater than or equal to 1+5

Step-by-step explanation:

x=6

[tex]x - 5 \geqslant 1[/tex]

[tex]x - 5 + 5 \geqslant 1 + 5 [/tex]

[tex]x \geqslant 6[/tex]

How much is nash459 worth

Answers

Answer:a lot

Step-by-step explanation:

Nash+459 = 100000000000000000

YA
6+
5
4
31
2+
1
LI
A
-6-5-4-3-2
-1
2 3
4
6
-1
-2
-5
-6-
The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
O A. (-2,6)
O C. (6,-2)
O B. (2,6)
OD. (6,2)

Answers

Answer:

Option D

Step-by-step explanation:

Part 3: The function f(x) = 2* is reflected vertically, translated 5 units
up and 3 units left to find g(x). (10 points per answer)
1. Write out the function g(x).
2. What is the domain of g(x)?
3. What is the range of g(x)?

Answers

Answer:

First, let's define the transformations in a general way.

Vertical translation:

A vertical translation of N units is defined as:

g(x) = f(x) + N

if N is positive, the translation is up

if N is negative, the translation is down.

Horizontal translation:

A horizontal translation of N units can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation is to the left.

Reflected vertically (or a reflection over the x-axis)

This type of reflection changes the sign of the y component.

We can write those as:

g(x) = -f(x)

Then:

We start with the function:

f(x) = 2^x

First we reflect it vertically.

g(x) = -2^x

now we do a vertical translation of 5 units up, then:

g(x) = -2^x + 5

Now we do a translation of 3 units to the left, then we get:

g(x) = - 2^(x + 3) + 5

Then we already did the first step.

Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).

Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:

(-∞, ∞)

3) Now we want to find the range, this is the set of the possible values of g(x).

The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.

Then:

g(-∞) ≈ 5

The maximum of the range is 5.

And we do not have a minimum, because as x increases the function will decrease infinitely.

Then the range will be:

(-∞, 5)

(A graph of the function can be seen below)

i will add you to brainlist if you get the answer right promise ​

Answers

Answer:

B

Step-by-step explanation:

please help with this problem

Answers


Answer: c: 50°

x = 10

Put x into equations

5(10) & 8(10)

This gives you 50° and 80°

50 + 80 = 130

because it is a parallelogram the angles will be the same on the opposite half which means you subtract to find m

180 - 130 = 50
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