Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.
Answers
Answer:
they are perpindicular because they intersect at a right angle
Step-by-step explanation:
Answer:
The lines y=−4 and x=−1 are perpendicular.
Step-by-step explanation:
Given the lines
y=−4
x=−1
The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.
In other words, there is no change in y-value i.e. (y₂-y₁) = 0.
Thus, the slope of the horizontal line y = -4 is zero.
Therefore, the slope of y = -4 is: m₁ = 0
The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.
In other words, there is no change in x-value i.e. (x₂-x₁) = 0.
Thus, the slope of the vertical line x = -1 is zero.
Therefore, the slope of x = -1 is: m₂ = ∞.
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
As the slope of line y = -4 is: m₁ = 0
Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞
Therefore, the lines y=−4 and x=−1 are perpendicular.
ALSO:
From the attached graph, it is clear that:
The red line is representing y = -4The blue line is representing x = -1It is clear that both lines are perpendicular as they are meeting at a right angle.
Therefore, the lines y=−4 and x=−1 are perpendicular.
Related Questions
Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)
Answers
What is the measure of angle r
Answers
Answer:
Step-by-step explanation:
you have a pentagon , and the sum of the angles is 540
3x-10+3x-8+5x-2+3x+1+2x+15=16x-4=540
16x-4=540
16x=544
x=544/16=34
the angle= (3x-8)=(3*34)-8=94
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?
Drag the answers into the boxes to correctly complete the statements.
The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.
Answers
Answer:
Width of the floor = 10 feet
Step-by-step explanation:
Given that:
Area of rectangular floor = 80 square feet
Width of rectangular floor = w
Length of rectangular floor = w - 2
Now,
Area = Length * Width
80 = w(w-2)
[tex]80=w^2-2w\\w^2-2w-80=0\\[/tex]
Factorizing the equation,
[tex]w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0[/tex]
Either,
w+8 = 0
w = -8
Or,
w-10 = 0
w=10
As width cannot be negative,
width = 10 feet
Hence,
Width of the floor = 10 feet
HELP ME PLS stock worth $60 a share dropped in value by 20% on Monday. Then it dropped again by 10$ the next Tuesday. And finally increased by 55% the following Friday. What was the final price of a share?
Answers
Answer:
58.90
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Answer:
The slope intercept form is y=1/6x+1
Step-by-step explanation:
Answer:
first point goes on (0,1)
second point goes on (6, 1)
hope that helps :)
Step-by-step explanation:
(x is first, y is second)
The inverse of F(x) is a function.
Answers
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
The graph below shows the number of paintballs a machine launches, y, in x seconds
Answers
Answer:
64/4
Have an amazing day!
A manufacturing company has 1000 employees. 10% of the employees earn less than
Rs.500 per day, 200 earn between Rs.500 and Rs.999; 30% earn between Rs.1,000
and Rs.1,499; 250 employees earn between Rs.1,500 and 1,999 and rest earn Rs.2,000
and above. Calculate the suitable average wage. Give the reason for your choice of
average.
Answers
Answer:
heehhe
Step-by-step explanation:
vwhehehhehdhdhd
8 divided by the sum of 9 and 3?
6 divided by the sum of 7 and 6?
Answers
Answer:
1. 0.66666666666
2. 0.46153846153
Step-by-step explanation:
8 divided by the sum of 9 and 3 is basically just 8 / ( 9 + 3 )
6 divided by the sum of 7 and 6 is basically just 6 / ( 7 + 6 )
Convert 11/3 from an improper fraction into a mixed number
Answers
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
4
Slope
=-
y-intercept = 5
5'
B) y=1
4
A) y=-x + 5
5
2
C) y=-x+ 5
5
4
--x + 5
5
2
D) y = 5x +
5
OA
Answers
Answer:
A.
Step-by-step explanation:
y=mx + b where m is the slope and b is the y-intercept. So substituting 4/5 for m and 5 for b, you get answer A.
HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answers
Answer:
C.) 45
Step-by-step explanation:
3x(2x - 7)
3 * 5 (2 * 5 - 7)
15 * (10 - 7)
15 * 3
45
Hope this helps :)
Can someone help me with this i will give brainliest please!
Answers
Answer:
(-1, -3)Step-by-step explanation:
Given system:
4x - 2y = 22x + y = - 51) Solving the second equation for y:
2x + y = - 5 ⇒y = -5 - 2x2) Substituting y into the first equation:
4x - 2y = 2 ⇒4x - 2( -5 - 2x) = 2Correct option is a)3) Solving for x:
4x - 2( -5 - 2x) = 24x + 10 + 4x = 28x = 2 - 108x = -8x = -14) Solving for y:
y = -5 - 2xy = -5 - 2(-1) = -5 + 2 = -3y = -35) Ordered pair is:
(x, y) = (-1, -3)Answer:
Step-by-step explanation:
Convert the decimal below to a fraction in simplest form.
0.386
And show work
Answers
Answer:193/500
Step-by-step explanation:
I really need help thanks
Answers
4. The elves at the North Pole could make 23 gifts per minute. How many gifts could they In make in 2 hours?
Answers
the elvs can make 46 presents
pls help just look at photo
Answers
Answer:
Step-by-step explanation:
FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.
A company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year?
Answers
Answer:
120 i think
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120
What is the value of x?
Answers
Answer: X=23
Explanation: 23-4 is congruent to 19
What is the surface area of the square pyramid represented by the net below?
48 cm2
16 am
64 cm2
4 cm
96 cm2
112 cm2
Answers
Answer: 96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
Match each decimal to its equivalent percent.
12.5%
1
0.8
8%
0.125
80%
0.25
1%
0.5%
50%
0.01
100%
0.5
0.08
25%
0.005
Answers
Answer:
12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%
Step-by-step explanation:
On the Decimal numbers just move the decimal place over 2 to the right
and add a percent
Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?
Answers
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answers
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
To learn more on fractions click:
https://brainly.com/question/10354322
#SPJ2
Which expression is equivalent to 3(x - 2)+2x?
-X
3x
5x - 2
5X-6
Answers
Answer:
D
Step-by-step explanation:
3(x-2)+2x=3x+2x-6=5x-6
If -x - 3y = -8 and - 7x + 5y = 1 are true equations, what would be the
value of 6x – 8y?
Answers
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answers
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
I will give brainiest to whoever answers correctly !!
Answers
50 years would be 11487
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(1) = -(x + 1)(0 - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
Pls help
Answers
Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
how to solve this?/answer?
Answers
Answer:
there's no answer for that because ot doesn't make sense
What is the radian measure of an angle equal to 225 ?