Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of perpendicular line
Related Questions
Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11
Answers
Answer:
B is the answer
Step-by-step explanation:
Mark me as the brainliest,thank you
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Simplfy 7xy + 8x + 5xy + 6x
Answers
Answer:
12xy+14x
Step-by-step explanation:
12xy+14x
Hope this helps :3
Answer:
12xy + 14x
Step-by-step explanation:
I believer this is correct
As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answers
Answer:
48km
5miles = 8km
×6 = ×6
30miles= 48km
What is the y-intercept?
4
Answers
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
please help this is the only question im stuck on
Answers
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
Answers
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
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How do you write 66% as a decimal?
Answers
Answer:
0.66
Hope this helps!
Answer:
0.66
Step-by-step explanation:
Move the decimal twice to the left whenever you try to convert a percent to a decimal
Find the domain and range of y=-5x-1
Answers
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?
Answers
Answer:
7
Step-by-step explanation:
42/6 = 7
It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?
Answers
Answer:
38.4 minutes
Step-by-step explanation:
Assuming the error was 20% less
Answer:
40 mins
Step-by-step explanation:
Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.
Answers
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
What is the equation of the line?
Answers
y=-3x-3
Explanation:
If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answers
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal
Answers
Answer:
Step-by-step explanation:
Given
A metal block has a mass = 60kg
volume = 0.5 meter cube
Solution
Density=masala volume
Density=60/0.5
Density of the metal=120kg/m^3
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Answers
9514 1404 393
Answer:
Each strawberry contains 4 calories
Step-by-step explanation:
The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.
Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).
The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.
The appropriate choice is ...
Each strawberry contains 4 calories
Answer:
its 4 calories, A
Step-by-step explanation:
i just got it right on edge
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answers
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
Answers
C) reflection over the x-axis
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Answers
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answers
Answer:
Step-by-step explanation:
7
iven: PA = PC and BA = BC. Use the diagram to find the length described.
Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?
pabc
AC is
cm in length.
Answers
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[tex]BA = BC = 12[/tex]
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[tex]AC = BA + BC[/tex]
[tex]AC = 12 + 12[/tex]
[tex]AC = 24[/tex]
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Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?
Answers
Answer:
Step-by-step explanation:
We can use the markdown formula to solve this question because it is the same type of problem.
= R x P
1. = 500 x 0.04
= 20
2. 500 - 20
= 480
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Key: R = Percentage Rate P = Original Price
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?
Answers
Answer:
Note. There is a mismatch between the graph and the equation
------------------------------
As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s------------------------------
If we go by the equation, then:
f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 secondsWhen it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answers
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answers
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answers
This can be rounded up to $220.90
Hope this helps :)
Answer:
$220.88
Step-by-step explanation:
Solve the proportion below. X/12=12/72
Answers
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
What words do I fill the blanks in with? Please hurry <3
Answers
Answer:
It says why you suck at cooking
Hope this helps!! :D
how to figure out how many solutions 7y+13=5y-3
Answers
Answer:
7y+13=5y-3
7y=5y-16
2y=-16
Y=-8
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
You collect like times together.
7 y + 13 = 5 y - 3
7 y - 5 y = - 3 - 13
2 y = - 16
2 y / 2 = - 16 / 2
y = - 8
complete factorization for -20x - 5y
Answers
Answer:
-5 (4x+y)
Step-by-step explanation:
Factor out -5, and -20/-5=4, -5/-5=1.
2 1/2 + (-1/3)
PLz, help me with this question.
Answers
Answer:
2 1/6
Step-by-step explanation: