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
What is 23.93 in to a percent pls help pls pls pls pls pls
Answers
Answer:
it is : 2393%
Step-by-step explanation:
If the graph of y = Ixl is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?
Answers
Answer:
y = |x| + 3
Step-by-step explanation:
The point moved up the y-axis positive 3 units.
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.
A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?
A. 4 rolls
B. 10 rolls
C. 12 rolls
D. 14 rolls
Answers
Answer:
4 rolls
Step-by-step explanation:
Area of the wall = 12 *14 = 168 square feet
1 roll = 42 square feet.
x roll = 168
1/x = 42/168 Cross Multiply
42x = 168 Divide by 42
x = 168/42
x = 4 rolls
Answer:
12 rolls
Step-by-step explanation:
Will give Brainly
Find the measure of b.
Answers
Answer:
b= 90 degrees
Step-by-step explanation:
opposite sides
The area of the parallelogram below is ____ square meters.
Answers
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
Success of each organization is
depending upon the performance of
Select one:
a. management
b. employer
c. vendor
d. employee
= employee
Answers
Step-by-step explanation:
Success of each organization is
depending upon the performance of
Select one employee
Item 2: help asappp please :)
Answers
Answer:
A is correct. i mean 75°
60°+45°=95°
180°- 95°=75°
3 cousins are named Jasmine and Kyra and Louisa.
Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.
How old is Jasmine?
How old is Kyra?
How did you solve this mystery?
Answers
Triangle ABC is shown below. Which point is the coordinate of the image of
Answers
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answers
Answer: 2 rays that meet an endpoint
-3 radical 2 times radical 3
Answers
Answer:
-6
Step-by-step explanation:
[tex]-3\sqrt{2}*\sqrt{2} = -3*2 = -6\\[/tex]
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
Answers
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answers
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
Read more on circle here: https://brainly.com/question/14078280
#SPJ2
Solve: 3,125 = 5^-10 + 3x DONE
Answers
Write an equation in the first box (use x as your variable). Then, solve (in second box).
Answers
Answer: 3.2x = 48
Step-by-step explanation: So that means x = 15.
The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?
Show the correct work. Set- up the proportion. Show the correct answer.
Answers
Answer: 66.5/66
Find a number, twice of which decreased by 7 gives 65.
Answers
Answer:
Number = 36
Step-by-step explanation:
Given that,
A number twice of which decreased by 7 gives 65.
Let the number be x.
Twice of the number is 2x.
ATQ,
2x - 7 = 65
We can solve the above equation.
Adding 7 both sides.
2x-7+7 = 65 +7
2x = 72
x = 36
So, the required number is 36.
9y+3-4x-2y-3x-5 combine like terms
Answers
Answer:
7y-7x-2
Step-by-step explanation:
9y+3-4x-2y-3x-5
7y-7x-2
that a lot of points thx :)
you just add the numbers of the like terms togehter
Answer:
7y-2-7x
Step-by-step explanation:
find a fraction equivalent to 1/2
Answers
Answer:
50/100
Step-by-step explanation:
it is a half becaus 50 is half of 100 1 is hal of 2
2/4
3/6
4/8
5/10
6/12
does this answer your question?
The world sugar production is 97,200,000
Brazil produces 9.7% of this sugar
Work out how much sugar brazil produces
Answers
Answer: Brazil produces 9,428,400 sugar.
Step-by-step explanation:
That is the answer because 9.7% of 97,200,000 is 9,428,400.
Find the x- and y-intercepts of the graph of the equation.
-4x + 2y = 0
Plz help
Answers
Answer:
hey you can also go on m a t h w a y to find this!
Step-by-step explanation:
both are (0,0)
I will give brainiest to whoever answers correctly !!
Answers
Answer:
3.82% (approximately)
Step-by-step explanation:
Is this graph and example of a sin or cos graph?
Answers
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
-7-y=0 7x+8y=-6 subtract
Answers
y
=
m
x
+
b
y
=
m
x
+
b
to find the slope
m
m
.
m
=
−
7
8
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answers
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
completely factor 7x^2 - 4x - 3
Answers
Answer:
(7x+3) (x-1)
hope this helps!!:)
Step-by-step explanation:
5. In the right triangle shown below, the length of side AB is x, the length of side BC is x + 2, and the length of the
hypotenuse AC is x + 4. Use this information to find the length of each side. (Use the Pythagorean theorem to get
an equation, and solve for x.)
I need an answer quick!!!
It’s from the problem set to lesson 17 M.1
Answers
Answer:
[tex]AB = 6[/tex] [tex]BC = 8[/tex] [tex]AC = 10[/tex]
Step-by-step explanation:
The picture of the triangle is missing.
Given
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
Required
Find x
When Pythagoras theorem is applied, we have:
[tex](AC)^2 = (BC)^2 + (AB)^2[/tex]
This is so, because AC is the hypotenuse
So, we have:
[tex](x+4)^2 = (x+2)^2 + x^2[/tex]
Open brackets
[tex]x^2 + 4x + 4x + 16 = x^2+2x + 2x + 4 + x^2[/tex]
[tex]x^2 + 8x + 16 = x^2+4x + 4 + x^2[/tex]
Collect Like Terms
[tex]x^2 -x^2 - x^2 + 8x -4x + 16 - 4 = 0[/tex]
[tex]- x^2 + 4x + 12 = 0[/tex]
Expand:
[tex]- x^2 + 6x -2x+ 12 = 0[/tex]
Factorize:
[tex]-x(x -6) -2(x- 6) = 0[/tex]
[tex](-x -2)(x- 6) = 0[/tex]
Split
[tex]-x - 2 = 0[/tex] or [tex]x - 6 = 0[/tex]
[tex]-x = 2[/tex] or [tex]x = 6[/tex]
[tex]x =-2[/tex] or [tex]x = 6[/tex]
Because [tex]BC = x + 2[/tex] and [tex]AB = x[/tex]
[tex]x =-2[/tex] can not be considered.
Hence:
[tex]x = 6[/tex]
Substitute 6 for x in
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
[tex]AC = 6 + 4[/tex]
[tex]AC = 10[/tex]
[tex]BC = 6 + 2[/tex]
[tex]BC = 8[/tex]
[tex]AB = 6[/tex]
I need help on deltamath
Answers
Answer:
(-4,-5)
Step-by-step explanation:
(x,y)... always x-axis first and then y-axis
-8x = 140
Solve for x
Answers
Answer:
x = -17.5Explanation:
-8x = 140
Divide both sides by -8-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
Simplifyx = -17.5
Answer:
-17.5
Step-by-step explanation:
140 divided by -8=-17.5
x=-17.5
Suzie ate brunch at a restaurant. The bill came to $6 .If she left a 15% tip, how much was the tip
Answers
Answer:
0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,