Answer:
Choice A
Step-by-step explanation:
YW
What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answer:
undefined
Step-by-step explanation:
Since it is a vertical line and there is no run only rise.
Plsss help I’ll give u brainlest and 10 points
Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.
Answer:
3 : 7
Step-by-step explanation:
make sure the three of on the left
The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b
Margo finds that 3 out of every 7 boxes of nuts are cashews.
In order to calculate the ratio of two quantities, we can use the following steps
First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.
Write it as a fraction, a/b. As a result, we write it as 3/7.
Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
Learn more about the Ratio here:
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Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.
Answer:
A.The corresponding angles of a shape and its dilation are congruent.
Step-by-step explanation:
Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.
Thus, the respective angles of the given shape and its image are the same.
The appropriate answer to the given question is A.
Help!!!!!!!!!!!!!!!!!
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5
Answer:
A.n ≤ 6
Step-by-step explanation:
A. n ≤ 6
May I have brainliest please? :)
THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying
In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.
Answer:
24 amps
Step-by-step explanation:
Current = k /resistance
k = current × resistance
= 40 × 12
= 480
If the resistance is 20 ohms then the current can be calculated as follows
Current = 480/20
= 24 amps
2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
Please help will give brainliest to answer
Answer:
your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Answer:
103
Step-by-step explanation:
89+97+112+104+113=515
515÷5=103
103 is the final answer, hoped this helped.
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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Pleas help me on this
Answer:
3x
Step-by-step explanation:
x+x+x
=3x
if i am wrong than sorry
The science club is going to the space museum. The club consists of 27 students.
Answer:
did u forget to complete the question or.....
find the midpoint of the segment with the following endpoints. (8,10) and (1,4) ?
Find the slope and the y-intercept of the line.
- 9x+3y=-6
Answer:
slope is 3 and y intercept of -2
Step-by-step explanation:
same question again. ugh
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.
Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
Can whoever answers this give a full explanation of what numbers i'm supposed to put (screenshot is there)
Long division is easier than you think. Here's how to solve this problem:
1. See how many times 36 can go into 66.
Multiply until you reach a number that is closest (or exact) to 66.
36 x 1 = 36; 36 x 2 = 72.
72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).
2. Subtract.
Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.
66 - 36 = 30.
3. See how many times 36 can go into 30.
Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.
4. See how many times 36 can go into 303.
I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.
We put "8" on the shelf, next to "1".
5. Subtract.
Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.
Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.
Your answer is:
36 R 15
The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.
I hope this helped!
The length of the rope was cut from 30 inches to 24 inches. By what percent was the price of the rope reduced?
What is the y-intercept of the function f(x) = -2/9x + 1/3x?
Answer:
Step-by-step explanation:
x-y=11 2x+ y=19 solve using elimanation
Answer:
the answer is [tex]x=10,\:y=-1[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
hope this helps :)
What is the value ofx in the equation X=-45
O -75
O -27
O 27
O 75
PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
HELP PLEASE!!! I NEED HELP ASAP!!!
Answer:
d
Step-by-step explanation:
find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)
Answer:
i believe undefined
Step-by-step explanation:
Slope
m= −3−9
5−5
-12/0
A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?
Answer: 57 cents each
Answer:
57 cents
Step-by-step explanation:
divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.