The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
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Line b has a slope of 9/7 .Line c has a slope of 9/7. Are line b and line c parallel or perpendicular?
Answer:
Parralel lines have equal slopes. Perpendicular lines have inverse opposite slopes. For exampl 2 and -1/2 are perpendicular.
Parralel is your answer
Step-by-step explanation:
Debra Goforth's savings account shows a balance of $904.31 on March
1st. The same day, she made a deposit of $375.00 to the account. She
also made deposits of $500.00 on April 1st and May 1st. The bank pays
interest at a rate of 5.5 percent compounded daily. What will be the
amount in her account on May 29?
Answer:
Debra Goforth's savings account shows a balance of $904.51 on March 1. The same day, she ... of $904.51 on March 1. The same day, she made a deposit of $375.00 to the account. She also made deposits of $500.00 on April 1 and May 1. The bank pays interest at a rate of 5.5 percent compounded daily.
Step-by-step explanation:
Hope this helps!
This table represents the altitude change in meters, m, as a hiker hikes down a mountain in h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes. Slope y-intercept Hours, h Altitude in meters, m 0 1020 2 680 4 340 6 0
Answer:
Slope = -170 y-intercept =1020
Step-by-step explanation:
From USATP right?:)Tell me if it's right...
The two triangles below are similar. What value of Q and B would make this true
Answer:
∠B = ∠Q = 26°Step-by-step explanation:
The angles B and Q should be same, therefore:
Q = 4x + 2 and B = 15x - 64The equation below as per above, solving for x:
4x + 2 = 15x - 6415x - 4x = 64 +211x = 66x = 6Then the angle measures:
4*6 + 2 = 26°Can somebody plz answer these questions if u done it before thx!
WILL MARK BRAINLIEST WHOEVER ANSWERSS
Answer:
Step-by-step explanation:
23.) 0.29
24.) 0.32
25.) 0.04
26.) 0.73
27.) 0.65
28.) 0.88
(Excuse me, but what grade are you in?)
Answer:
23. 0.29 Dollars
24. 0.32 Dollars
25. 0.04 Dollars
26. 0.73 Dollars
27. 0.65 Dollars
28. 0.88 Dollars
Step-by-step explanation:
Fundamental Method ==>
[tex]1 \times \frac{percentge}{100} [/tex]
By Z.Khan
Multiply −47(−35)(−73). Simplify your answer.
Answer: -120085
Step-by-step explanation:
Find the height of a cone with a diameter of 12 m whose volume is 264 m
Use 3.14 for I and round your answer to the nearest meter.
-
12 m
A. 2 m
B. 42 m
C. 6 m
D. 7 m
Answer:
7
Step-by-step explanation:
1/3x6x6x3.14
12.3.14
264/37.68
7
The height of cone is 7 m
what is height of cone?A cone is a three-dimensional shape, formed by using a set of line segments or the lines which connect at a common point, to all the points of a circular base.
The cone height formula helps in calculating the distance from the vertex of the cone to the cone's base. The height of the cone can be calculated using either the volume of cube and radius or with slant height and radius of the cone.
Cone Height Formula for Cone can be expressed as,Formula 1: h = 3V/πr2
where,
V = Volume of the cone
r = Radius of the cone
This formula is derived from the formula of the volume of a cone.
Given:
d= 12 m
Volume = 264 m.
volume = πr²h
264= 1/3x6x6x3.14 * h
264 = 37.68 * h
h= 264 / 37.68
h= 7 m
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What is the slope indicated in the table below?*
X. 8 6 4 2
Y. 2 4 6 8
Answer:
-1
Step-by-step explanation:
in order to find the slope you need to look at the change in x over the change in y. x is decreasing by 2 every time, and y is increasing by 2. you now have -2/2 simplify and you get -1
Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.
. Shaniqua can read at a speed of 50 pages per hour. She reads 275 pages one weekend. How many hours does she read? PLZ HELP AND ADD WORK
Answer:
5 and a half hours
Step-by-step explanation:
How many times does 50 go in to 275
1. 50
2. 100
3. 150
4. 200
5. 250
and to get 275 you add half of 50 which is 25
Answer:
5 hours and 30 minutes.
Step-by-step explanation:
5x50=250
remainder 25
half of an hour is 30 mins and half of 50 is 25.
therefore; add the 5h and 30m to get 5h30m
can someone please help and explain
Answer:
Im not sure how you are supposed to answer this but they are similar by side angle side
Step-by-step explanation:
We are given that NO/OQ=PO/OM
This tells us that the sides are in a ratio.
We also know that angle NOM is equal to angle POQ
Now we have 2 sides and 1 angle thus they are similar by side angle side
I hope this helps you come up with your statements and reasons
Answer:
I think the answer is scalpel porators
Step-by-step explanation:
someone please help
i will give brainliest
Answer:
its -18 going to the right closed circle
Step-by-step explanation:
Answer: r >_ (greater than or equal to) -18
Step-by-step explanation:
You would place it on -18 :)
You’re welcome :)
Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?
Answer:
x=1160 HAVE A GREAT DAY!!! :D
Step-by-step explanation:
Okay! So, first you would set up a proportion
x/1740=2/3
Then you cross multiply
3x=3480
After that, you divide both sides of the equation by 3
x=1160
.....................
Answer:
sorry you questions is no clear
A linear function always has a _______? What is the blank
Answer:
i bellive the answer is a function
Step-by-step explanation:
Find the product.
(x² – 2x – 4) (x² – 3x – 5) =
An angle measures 12° less than three times it’s supplement. Find the measure of the angle
Answer:
132 degrees.
Step-by-step explanation:
Let the supplement be x and the angle be y.
x + y = 180 degrees.
y = (3x - 12) degrees.
x + 3x - 12 = 180
4x = 192
x = 48 degrees
y = 132 degrees
Hope this helped!
i’ll mark brainliest
Answer:
A
Step-by-step explanation:
ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A
Hope this helps!!!! :D
Need answer for this.
Answer:
The equation of the line is y = (5/2)x + 5.
Step-by-step explanation:
When both line are parallel, they share the same gradient value so the equation will be y = (5/2)x + b. Next, you have to find the value of b, by substituting the coordinates into the equation :
y = (5/2)x + b
let x = -2, y = 0,
0 = (5/2)(-2) + b
0 = -5 + b
b = 5
Answer:
y=5/2x+5
Step-by-step explanation:
Since both lines are parallel they have the same slope. From y=5/2x+1, the slope is 5/2
The equation of the line passing through (-2,0) using slope intercept form is
y-y1=m(x-x1)
y-0=5/2(x--2)
y=5/2(x+2)
y=5/2x+5
Last summer, the Smith family drove through seven different states and visited various popular landmarks. The prices of gasoline in dollars per gallon varied from state to state and are listed below.
$2.26, $2.57, $2.30, $3.40, $2.69, $2.35, $3.13
Calculate the range of the price of gas. Give your solution to the nearest cent.
dollars per gallon
range:
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
show the graph of -3x + 10
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3x+10
To graph:
Plot points at (0,10) and (10/3,0) and draw the line.
2y² - 9y - 2 + 4 (y + 1) =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]2 {y}^{2} - 9y - 2 + 4(y + 1) = [/tex]
[tex]2 {y}^{2} - 9y - 2 + 4y + 4 = [/tex]
[tex]2 {y}^{2} - 9y + 4y - 2 + 4 = [/tex]
Collect like terms
[tex]2 {y}^{2} - 5y + 2 = [/tex]
[tex](2y - 1 )(y - 2)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
2y² - 5y + 2
Step-by-step explanation:
Original equation:
2y² - 9y - 2 + 4(y + 1) =
Use distributive property
4 · y = 4y
4 · 1 = 4
Plug these values back into the equation:
2y² - 9y - 2 + 4y + 4 = ?
Combine like terms
2y² - 5y - 2 + 4
Combine more like terms
2y² - 5y + 2
That is the most simplified version
Hope this helps :)
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If f(x)=x2-x, what is f(-5)
Answer:
-5
Step-by-step explanation:
f(x)=x2-x
f(-5)=(-5)2-(-5)
f(-5)=-10-(-5)
f(-5)= -5
anna is working two summer jobs, making $11 per hour tutoring and $15 per hour clearing tables. anna must earn at least $230 this week. write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours clearing tables, c, that anna can work in a given week
Answer:
Step-by-step explanation:
Money earned by tutoring for 't' hours = 11 * t = 11t
Money earned by clearing tables for 'c'hours = 15 * c = 15c
11t + 15c ≥ 230
Write an equation for the line parallel to the given line that contains C.
y =
Answer:
y=3/7x+46/7
Step-by-step explanation:
Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.
7-3/7=C
C=46/7
Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.
i don't really know what to do but answers help thx
Answer:x=40
Step-by-step explanation: the other side is 40 and its a triangle same angles so other side is 40 too.
Answer:
55
Step-by-step explanation:
x + 40 + 85 = 180
40+85= 125
180-125= 55
A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.
Answer: Plant A and plant B will be the same height at the end of week 12.
Step-by-step explanation: You don't care about this
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)