What is the equation of the line that is perpendicular to y=1/5x+4 and that passes through (5,—4)?
Answers
=========================================================
Work Shown:
The given equation y = (1/5)x+4 is in the form y = mx+b with m = 1/5 as the slope.
Apply the negative reciprocal to this slope to go from 1/5 to -5/1 or -5.
The original slope is 1/5 and the perpendicular slope is -5. Note the two slopes multiply to -1. This applies to any pair of perpendicular lines as long as neither line is vertical.
---------
We'll use m = -5 as the slope and (x,y) = (5,-4) to find the y intercept
y = mx+b
-4 = -5*5+b
-4 = -25+b
-4+25 = b
21 = b
b = 21
The y intercept of the perpendicular line is b = 21
With m = -5 and b = 21, we go from y = mx+b to y = -5x+21 which is the equation of the perpendicular line.
Related Questions
What is the mZVXW?
V
116°
?
X
W
106°
Answers
Answer:
∠ VXW = 69°
Step-by-step explanation:
The inscribed angle VXW is half the measure of its intercepted arc VW
arc VW = 360° - (116 + 106)° = 360° - 222° = 138°, then
∠ VXW = 0.5 × 138° = 69°
Find the length of x
Please help me
Answers
2/1=7/x
2x=7
x=3.5
a man pays $225 each month into an account to pay his bill .how much does he pay into the account in three years?
Answers
Answer:
$8,100
Step-by-step explanation:
He pays $225 for three years. There are 12 months in a year, so they are 36 months in 3 years. $225 a month times 36 months will get you $8,100.
Kent can paint a room in twice as fast as Luannda. Together they can paint the room in 5 hours. How long would it take Kent to paint the room alone? Write an equation to solve
Answers
Answer:
for kent it would be [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The computation is shown below:
Let us assume Luannda be [tex]\frac{x}{1}[/tex]
And for kent be 2x
Together they take 5 hours
So
[tex]\frac{x}{1} + \frac{2x}{1} = 5\ hours\\\\3x = 5\\\\x = \frac{5}{3}[/tex]
So for kent it would be [tex]\frac{1}{5}[/tex]
HELP PLEASE ITS DUE IN 5 MINUTES
Answers
Answer:
They are similar.
Step-by-step explanation:
Both polygons are similar. The polygon on the right has been dilated by a scale factor of 1.2.
Complete each subtraction equation below as an addition equation. a − 9 = 6
Answers
Answer: a = 15
Step-by-step explanation:
15 - 9 = 6
Answer:
a=7
Step-by-step explanation:
add 9 to 6 and that is your answer
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students left 1292 seats vacant.what percentage of the seats in the theater were filled by the 6th graders on the trip
Answers
We have that the percentage of the seats in the theater were filled by the 6th graders on the trip is mathematically given as
X=24%From the question we are told
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students left 1292 seats vacant.what percentage of the seats in the theater were filled by the 6th graders on the tripPercentage
Generally the equation for the filled percentage is mathematically given as
[tex]X=\frac{Filled seat}{total seat}*100\\\\Therefore\\\\X=\frac{1700-1292}{1700}*100[/tex]
X=24%For more information on percentage visit
https://brainly.com/question/8011401?referrer=searchResults
1. 3 divided by 1 and 1/3 2. 6 divided by 2 and 2/5 3. 1 and 3/4 divided by 3/4 4. 2 divided by 4 and 2/7 5. 7 divided by 3 and 1/9 6. 6 and 2/3 divided by 4/5 7. 1 and 1/9 divided by 5/6
Answers
Answer:
1. 2.25
2. 2.5
3. 2.3.................
4. 0.46...................
5. 2.25
6. 8.3......................
7. 1.33.................
Step-by-step explanation:
that sholnd be right
What is The distance between The points(-6,7) and(-1,1) round to the nearest whole unit
Answers
Answer:
8
Step-by-step explanation:
using the distance formula
please please please help-
A water pitcher is 10 inches in height and 6 inches in diameter. Glasses used at a restaurant are 6 inches in height and 2.5 inches in diameter. If a server at the restaurant completely fills the pitcher with water, how many full glasses of water can he fill without any ice?
Answers
Answer: 2
Step-by-step explanation:
take the radius. it is a cylinder so u find the volume of each.
Please help! (100 points!) look at the image :)
Answers
Answer:
Step-by-step explanation:
Answer:
What image?
Step-by-step explanation:
Thanks? :)
*EXTRA POINTS* Identify each pair of angles as-----
vertical, supplementary, corresponding, alternate interior, alternate exterior, or consecutive (same-side) interior:
Answers
2-alternative exterior
3-corresponding
what is 2+2?
i want to know
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2+2= 1+1+1+1=4
Find the value of X
...
How would I do this?
Answers
Answer:
x=35.5
Step-by-step explanation:
x+(x+7)=78
2x=71
x=35.5
i think this is it
What is the volume of the following triangular prism?
4.5 cm
12 mm
7 cm
3.5 cm 3
18.9 cm 3
12 cm
13
37.8 cm 3
Answers
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
When you have the prism's base area ([tex]b_{a}[/tex]) you just have to multiply:
[tex]b_{a}*h=V[/tex]
(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
1)
12 yd
15 yd
10 yd
Answers
Answer:
1800.
Step-by-step explanation:
Multiply them all.
[tex]12 * 15* 10 = 1800.[/tex]
The answer is 1800.
Area: 1800 feet cubed
Surface Area: 900 feet square
What is the perimeter of the triangle shown? Round to the nearest hundredth.
Answers
Answer:
24.6
Step-by-step explanation:
Thsi is the answer
I think so
Not to sure
Fill in the blanks to explain one way to solve this system of equations using elimination.
6x + 2y = 14
5x – 2y = 8
First, add the two equations to get 11x = ____. Then substitute for x in either equation to get y =___.
PLEASE HELP
Answers
Answer: answer is Firts add the two equations to get 11x=22 Then substitute 2 for x in either equation to get y= 1
Step-by-step explanation:so [22][ 2] and ( 1) should be your answers and if your in quiziz mark that is true if ur not then mark my answers
The blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.
What is a System of the equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The equation can be solved by adding the two of the given equation,
[tex]6x + 2y + 5x - 2y = 8+14\\\\11x = 22[/tex]
As we get the values of 11x=22, find the value fo x which is 2, substitute the equation in either of the given equation,
6x + 2y = 14
6(2) + 2y = 14
2y = 14 - 12
y = 1
Thus, the value of y is 1.
Now, the blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.
Learn more about System of equation:
https://brainly.com/question/12895249
simplify: x 1/3(x 1/2+2x2)
Answers
Answer:
2/3x^3+1/6x^2
Step-by-step explanation:
The diagram shows a regular 11-sided polygon.
Work out the size of the angle marked d.
Leave answer to 2 decimal places where appropriate.
Answers
Answer:
d = 32.73°
Step-by-step explanation:
Angle 'd' is an exterior angle of the given polygon.
By the property of the exterior angles of a polygon, sum of exterior angles of a polygon is 360°.
And the measure of an exterior angle of a polygon = [tex]\frac{360}{n}[/tex]
Here 'n' = Number of sides of the polygon
From the picture attached,
Number of exterior angles of the regular polygon = 11
Therefore, measure of the exterior angle = [tex]\frac{360}{11}[/tex]
= 32.7272
≈ 32.73°
help me solve this pls! (For 25 points)
Answers
The Apple watch costs $299, you have a 15% coupon and the tax rate is 5.5%. What is the final price of the watch?
Answers
Answer:
$268.13
Step-by-step explanation:
Coupon- 100-15= 85
85 = 0.85
299 x 0.85 = 254.15
Tax Rate- 5.5% = 0.055
254.15 x 0.055 = 13.97825
13.97825 + 254.15 = 268.13
-5.5x+0.77=1.48 whats x
Answers
Answer:
X= -0.1290 (bar line on top of the 90)
Hope this helps!
Step-by-step explanation:
Answer:
X= -0.1290
Step-by-step explanation:
10-x-(4x)-19+5x Helpppppp pls
Answers
Answer:
-9
Step-by-step explanation:
M athway. Really good site for math
what is the area of this trapezoid
a) 175in
b)140in
c)129in
b)85in
Answers
Answer:
I would need the picture of the trapezoid to solve for you
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the probability of getting a blue marble.
Answers
Answer:
80%
Step-by-step explanation:
please give brainliest
Hope this helps
Have a great day/night
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
21 square feet
Step-by-step explanation:
To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.
Version 1: 6 * 2 rectangle and 3 * 3 square
(6 * 2) + (3 * 3)
12 + 9
21 sq. ft.
Version 2: 5 * 3 rectangle + 2 * 3 rectangle
(5 * 3) + (2 * 3)
You could really just do 7 * 3 here.
7 * 3
21 sq. ft.
Either way, you still get 21 square feet as your answer.
help! I'll give brainliest!!!
Answers
Answer: V = 378 i think
Step-by-step explanation:
How do I divide -x^3 + 2x^2 + 5x -4 by x+2 using synthetic division?
Answers
Answer:
-x²+4x-3+2/(x+2)
or
-x²+4x-3 remainder 2
Step-by-step explanation:
Where were MOST of France's colonies located in Africa?
A in the west
B. in the south
C. in the northeast
D. in the northwest