Consider the line y=7x-3.
Find the equation of the line that is parallel to this line and passes through the point (8, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (8, 5).
Answers
Answer:
1st question: y=7x-51
Step-by-step explanation:
So for the first question: *aHem*
You rewrite the equation to be 5=7*8+b. The reason why is because since it will be parellel it will have the same slope, and those coordinates that you gave me I just plugged into equation.
Solve equation: 7*8=56 so now it's 5=56+b. Subtract 56 from both sides. -51=b
Rewrite again into y=7x-51. The reason why is because b means y intercept and you are looking for where to start (y-intercept) and keeping the same slope. Parallel means never touching.
Related Questions
3) Yellow Stone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class of High School B both planned trips there. The senior class at High
School A rented and filled 4 vans and 2 buses with 142 students. High School B rented and filled 2
vans and 4 buses with 206 students. Every van had the same number of students in it as did the
buses. Find the number of students in each van and in each bus.
Answers
Answer:
Find the number of students in each van and in each bus?
13 students can fit in van and 45 students can fit in bus
There were 13 students in each van and 45 students in each bus for both High School A and High School B.
Let's assume that the number of students in each van is "v" and the number of students in each bus is "b".
From the information given, we can form the following equations:
Equation 1: 4v + 2b = 142 (High School A)
Equation 2: 2v + 4b = 206 (High School B)
We can start by multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate the "b" variable:
2 * Equation 1: 8v + 4b = 284
4 * Equation 2: 8v + 16b = 824
Now, we subtract Equation 1 from Equation 2:
(8v + 16b) - (8v + 4b) = 824 - 284
12b = 540
b = 540 / 12
b = 45
Substitute the value of "b" back into Equation 1:
4v + 2(45) = 142
4v + 90 = 142
4v = 142 - 90
4v = 52
v = 52 / 4
v = 13
Therefore, there were 13 students in each van and 45 students in each bus for both High School A and High School B.
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Select each number that is less than -40.
0-27
0-101
14
21
0-41
-38
Answers
Answer:
-38
Step-by-step explanation:
Xander takes a quiz worth 200 points. Each question is worth 40 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answers
Answer:
Miss 1: 160
Miss 2: 120
Miss 3: 80
Miss 4: 40
Miss 5: 0
Step-by-step explanation:
Mark brainliest pls
The football team won 16 games, and they lost four. What is the ratio of games won to number of games played?
Answers
Answer:
4:1
Step-by-step explanation:
-243 = -9(10 + x)
.......
Answers
Answer:
4x
Step-by-step explanation:
EDG 2020
PLEASE ANSWER THUS I WILL GIVE BRAINLIEST FAST PLEASE!!!!!
Answers
Answer:
b b b b
the answer is b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The ratio of two supplementary Angles is 2:7 what is the measure of the smaller angle
1 10
2 14
3 20
4 40
Answers
(i need my answer to be 20 characters long)
Which statements are true about the solution of 152 22+x? Select three options.
O x2-7
OXS-7
The graph has a closed circle.
0-6 is part of the solution.
0-7 is part of the solution.
Answers
Answer:
it's a c e actually......
The true statements about 15 ≥ 22 + x are
x ≤ -7, the graph has a closed circle and -7 is part of the solution.
How to determine the true statements?The inequality is given as
15 ≥ 22 + x
Subtract 22 from both sides
-7 ≥ x
Rewrite as:
x ≤ -7
The ≤ implies that the solution is a closed circle, and the other true statement is: (e) -7 is part of the solution.
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Will mark Brainliest! Please help!
Answers
Answer:
O. 56 is the answer,
0. 8
0. 7
5 6
0 0 0
0.56
Zander bought 3 hats for $7 each and 2 shirts for $9 each. How much did Zander spend
Answers
Answer: 16
Step-by-step explanation: because you add $7 and $9 together
Answer:
39
Step-by-step explanation:
If Zander bought 3 shirts you are multiplying 7 and 3 which gives you 21 so he bought 3 hats for $21 and then he spent 9 dollars on 2 shirts so 9 times 2 which gets you $18 so then you do $21+$18 which gives you the answer which is 39
please help me please!!!
Answers
Answer:
a is the answer
Step-by-step explanation:
because i said so
Which of the following is equivalent to 4/20? 1. 1/10 2. 3/15 3. 3/19 4. 2/12
Answers
Answer:
3/15=1/5
Step-by-step explanation:
4/20=3/15
3/15 is not all the way simplified. So i'm going to make it simple.
3 divided by 3=1
15 divided by 3=5
1/5 x 4=4/20
4/20 divided by 1/5=4
7 1/2 ÷ (4 1/2 - 5 1/8)
Answers
Answer:
-12
Step-by-step explanation:
7 1/2 ÷(4 1/2 - 5 1/8)
7 1/2 ÷ -5/8
7 1/2* -8/5
-12
Heather bought a new laptop for $650 Heather has a coupon that lowers the price by 15%.
What is the price of the laptop after using the coupon?
Answers
You deduct the coupon percentage from the whole which is 100% and then multiply it by the whole price.
The area of a rectangle is a 40 square inches. The width of the rectangle is 4 inches more than the length. What are the dimensions of the rectangle?
Answers
Answer:
I think 10
Step-by-step explanation:
because 4 times 10 is 40 and 4 side so 10 for each side
The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.
Let the length of the rectangle be L.Let the width of the rectangle be W.Given the following data:
Area of a rectangle = 40 square inches.Translating the word problem into an algebraic equation, we have;
[tex]W = L + 4[/tex]
To find the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula;
[tex]Area = LW[/tex]
Substituting the values into the formula, we have;
[tex]40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0[/tex]
Solving the quadratic equation by using the quadratic formula, we have the following values;
L = 4.63 or −8.63
Length, L = 4.63 inches.
For the width:
[tex]W = L + 4[/tex]
[tex]W = 4.63 + 4[/tex]
W = 8.63 inches
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A total of 2,000 square feet is to be enclosed in two pens, separated by a chain link fence. The outside walls are to be constructed of brick. The brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Find the dimensions that minimize the construction cost
Answers
Answer:
Dimensions that minimize is; 20 ft x 100 ft
Step-by-step explanation:
Let the width and length be x and y respectively.
We are given area as 2000 Sq.ft.
Thus;
xy = 2000 - - - (eq 1)
We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;
C(x) = 20x + 4y
From eq(1),y = 2000/x
Thus;
C(x) = 20x + 4(2000/x)
C(x) = 20x + 8000/x
To minimize this, we will differentiate and equate to 0.
Thus;
C'(x) = 20 - 8000/x²
Equating to zeeo;
20 - 8000/x² = 0
20 = 8000/x²
20x² = 8000
Divide both sides by 20;
x² = 8000/20
x² = 400
x = √400
x = 20 ft
Putting 20 for x in eq 1,we have;
20y = 2000
y = 2000/20
y = 100 ft
The U.S. federal government conducts a sampling survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question. That fifty percent is a
a
statistic
b
variable
c
data
d
parameter
Answers
Answer:
The correct answer is A. That fifty percent is a statistic.
Step-by-step explanation:
Statistics is the science that studies the collection of objective data from reality and its subsequent analysis for the extraction of specific information on the group from which the data were obtained. Thus, statistics obtains different samples (such as opinions, personal characteristics, etc.) of a certain group, and compares their results with the purpose of establishing objective parameters applicable to the entire society.
In this way, the fact that in a survey 50% of the respondents answer in a specific way constitutes a specific statistic regarding that sample, which can in turn be transferred to society as a whole.
Urgent! Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <1?
Answers
Answer:
m<1 = 105°
Step-by-step explanation:
<6 and <2 are corresponding angles. Therefore:
m<2 = m<6
Since m<6 = 75°, therefore, m<2 = 75°.
m<1 + m<2 = 180° (linear pair angles)
m<1 = 180° - m<2 (substitution property of equality)
m<1 = 180° - 75° (substitution)
m<1 = 105°
1.
40% of the house plants were watered today. 320 house plants were watered. Which equation can be used to find how many plants there were?
Answers
Answer:
0.40x = 320
Step-by-step explanation:
40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.
Samantha is making brownies for the entire staff at Arlington Elementary School
Altogether, 73 adults help make her school a wonderful place to be and learn every
day. One box of brownies is enough for 16 teachers. How many boxes of brownies will
Samantha need to make in order to have enough for the entire staff at Arlington
Elementary School?
F
G
4 boxes, because 73 - 16 is about 4
4 boxes, because 73 : 16 is about 456
5 boxes, because 73 - 16 is about 4.56
Ether 4 or 5 because 73 - 16 is about 4.56
H
Answers
4 x 16 = 64 so that wouldn’t be enough
However:
5 x 16 = 80 which is enough for 73 people
Hope this helps! Have a nice day :)
In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?
Answers
Answer:
The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
Step-by-step explanation:
Plato simple answer
The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
How does dilation works?Dilation of a figure will leave its sides get scaled (multiplied) by same number.
Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.
Slope:
We know that the slope is the ratio of change in y-value and change in x-value.
So, after dilation
m---->m
Length of line:
The length of line =x
so, it's length will become nx.
The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
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Ben has a cellphone plan where he pays $12 per
month plus $.10 per minute of talk time. The equation
y = 0.10x + 12 can be used to find his monthly phone
bill y given the number of minutes x he spends talking.
Which set or inequality represents a reasonable range
of the function?
F. 50, 126
H. 12 … y
G. 0 … y … 12
J. 0 … y
Answers
Answer:
H
Step-by-step explanation:
I have done the work before
the breadth of a rectangular plot is 20 m less than its lengths find its dimensions if its perimeter is 120
Answers
Answer:
breadth = 25m
length= 35m
Step-by-step explanation:
perimeter is distance all round a figure
in a rectangle we have two pairs of opposite but equal lines
breadth = 2x( because of the two breadths in a rectangle) - 20
length = 2x( because of the two lengths in a rectangle)
perimeter = 2x + 2x - 20
120 = 4x - 20
120 + 20 = 4x
140 = 4x
35 = x
to get the dimensions, we have to divide by 2 as we took both parts of each dimension
breadth = 2x - 20
2
=2(35) - 20
2
= 70 - 20
2
= 50m
2
= 25m
length = 2x
2
= 2(35)
2
= 70m
2
= 35m
Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
Answers
Answer:
The constant is that every bag costs $3.55
Step-by-step explanation:
When the bag of peanuts costs $3.55 then Constant of proportionality is 3.55
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities
Here,
Every bag of peanuts costs $3.55
Consider the number of bags = x
Cost of the peanut bag = y
Therefore
y is directly proportional to x
y = kx
Where k is the constant of proportionality
k = [tex]\frac{y}{x}[/tex]
if the cost of the one bag is $3.55
Then [tex]k=\frac{3.55}{1}[/tex]
k=3.55
Hence, When every bag of peanuts cost constant of proportionality is 3.55
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A piece of brass contains 1.66 grams of copper and 0.34 gram of zinc. What is the mass of the piece of brass in grams?
Answers
Answer:
The mass would be 2.
Step-by-step explanation:
1.66 + 0.34 is 2.
Prakarit bought a pack of paper for 5.69 and he bought a toner for 9.76. What was the change?
Answers
Answer:
sorry grffggcfcfxtcrxrxrzrzeDdd
2) 3 3/4 x 31 1/8 = m
m=?
If you answer I will rate you 5 stars. Thank you!
Answers
Answer:
m=10263
Step-by-step explanation:
33 ×311 =m
4. 8
264×1244=m
32
328416 =m
32
m=10263 ans
Plssss help.........
It’s geometry.......
Answers
Answer: me to
Step-by-step explanation:
Answer: EGD
Step-by-step explanation:
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please help
Answers
Answer:
fhetdg55541378u c4i58454v.
Answer:
Bro, it literally shows how many points and it shows 5 dumb dumb
Step-by-step explanation:
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answers
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
Slope of [tex]y=-3x-4[/tex] is the m of the general equation [tex]y=mx+b[/tex] which [tex]-3[/tex] The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that [tex]\frac{1}{3}[/tex] With that slope and the point [tex](1,2)[/tex] use the formula[tex]y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}[/tex]