The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8
Answer:
E) -4,7 and -2,8
Step-by-step explanation:
parallel lines have same slope
x - 2y = 16
y = 1/2 x -8 slope: 1/2
E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2
Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
----------------------
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.----------------------
The line given is:
[tex]x - 2y = 16[/tex]
In slope-intercept formula:
[tex]2y = x - 16[/tex]
[tex]y = \frac{x}{2} - 8[/tex]
----------------------
In this question, we want a line with an slope of 1/2.
At option E, the points are (-4,7) and (-2,8), thus, the slope is:
[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]
Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
A similar problem is given at https://brainly.com/question/22532445
What are 3 different ways to write a ratio?
Answer:
Cross Multiplication.
Proportion.
½ =
/
proportionate. 1:2 = 4:8. 1 to 2 = 4 to 8.
Step-by-step explanation:
What is the inverse of the function f(x) = one-ninth * x + 2?
Answer:
Please mark as brainliest!!!!
Step-by-step explanation:
https://brainly.com/question/1144043
Answer:
f⁻¹(x) = 9x - 18Step-by-step explanation:
Given
f(x) = 1/9x + 2Let the inverse be y= f⁻¹(x)
To find inverse change x ⇒ y and solve for y:
x = 1/9y + 29x = y + 18y = 9x - 18So the inverse is:
f⁻¹(x) = 9x - 183. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots
Complete question :
A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?
Answer:
8 m
Step-by-step explanation:
Given that :
Dimension of garden = 40m by 24m
Length of garden = 40m
Width of garden = 24m
To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:
Length (40) = 1, 2, 4, 5, 8, 10, 20, 40
Width (24) = 1, 2, 3, 4, 6, 8, 12, 24
The highest common factor here is 8 ;
Thus, the length of each square plot is 8m
Help ASAP plz
3. Solve by graphing. (y=mx + b)
y=-x+10
x+y=10
What is the solution and also solve using algebra
Answer: Im sorry im bad at mafs
Step-by-step explanation:
Which of the numbers given below is an irrational number ?
0
2.14
2.14367.....................
Answer:
2.14367............. is a irrational number.Ted weighs twice as much as Julie Mike was three times as much as Julie together Ted Mike and Julie weigh 210 lb what is the weight of each person
Answer: Ted weighs 70 Julie weighs 35 mike weighs 105
Step-by-step explanation:
I looked it up ;-)
TRAVEL It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, New Mexico. She hopes to finish the rest of her trip, including stops, in 5 hours. Write an equation to find the average speed Haruko needs to drive to finish the rest of her trip in 5 hours.
Answer:
55 mph
Step-by-step explanation:
Given that:
Total miles of journey = 350 miles
Miles already driven = 75 miles
To cover the rest of the journey in 5 hours, the average speed of travel. Will be:
Recall:
Speed = (Distance left to cover ÷ budgeted travel time)
Distance left to cover : (total miles - distance already driven)
Average speed required = (350 - 75) / 5
= 275 / 5
= 55 mph
What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81
Answer: D. 3
Step-by-step explanation:
3 times 3 equals 9 so the answer is 3
Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz and got 100%
I need help thank you
Answer:
16n + 41
Step-by-step explanation:
2(-n - 3) - 7(5 + 2n) (Given)
-2n - 6 - 35 - 14n (Distribute)
-16n - 41 (Add like terms)
16n + 41 (Divide by a factor of -1)
Answer:
B. -16n - 41
Step-by-step explanation:
Use the distributive property:
2(-n - 3) - 7(5 + 2n)
-2n - 6 - 35 - 14n
Combine like terms:
(-2n - 14n) + (-6 - 35)
-16n - 41
Find the value of x in a triangle 68 27
Can someone please solve this?
Answer:
[tex]\frac{7}{10}=\frac{14}{20}[/tex]
[tex]\frac{3}{4}=\frac{15}{20}[/tex]
so, [tex]\frac{7}{10}<\frac{3}{4}[/tex]
Step-by-step explanation:
3x+7y=17
3x-6y=4
solve this by elimination method plzzzzzzzzzzzzz helppppppppppppp meeeeeeeeeee
Answer:
[tex](\frac{10}{3}, 1)[/tex]
Step-by-step explanation:
1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.
This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together. (This work is shown in the first picture.)
Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.
2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:
[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]
Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].
Find the area of the equilateral triangle whose side length is a. Please help, 10 points.
Answer:
see explanation
Step-by-step explanation:
The area (A) of an equilateral triangle with side a is calculated as
A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]
X = [ ? ]
PLEASE HELP
Step-by-step explanation:
60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)
Therefore 2x = 60° and x = 30°.
Answer:
Step-by-step explanation:
2x + 60 = (180 - 60)
x = (180-120)/2
x = 30
(I’ll give brainliest)
Answer:
letter choice A and C
Step-by-step explanation:
jshdhd
whoever comments first gets brainliest and whoeverelse answers gets 50 points cause why not 2=2=3=4=5=6=7=8=9=0+12345-7=9(so it doesn't get taken down)
Answer:
Yo whats up
Step-by-step explanation:
I win and im the brainlest.
Halle has $48 saved for a new computer. Then she receives birthday money giving her a total of $290 saved. How much birthday money did she receive?
6. How many sides has a regular poly- gon when each interior angle is 108°? 144°? 120°? 150°? 140°? 90°? 12870?
Answer:
there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.
Step-by-step explanation:
The triangles below are congruent and their corresponding parts are marked.
Answer:
I think it's a but I'm not 100 percent sure but I'd say a
Please help me! I don’t know what to do!!! 15 pts!!
Answer:
is (A).
Step-by-step explanation:
The answer is (A).
Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?
Answer:
1080
Step-by-step explanation:
if 10 percent are left handed that means that 90 percent are right handed
number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080Answer:
120
Step-by-step explanation:
10%=0.1
1200*0.1=120
Marshall Middle School is planning a field trip to see Romeo and Juliet at the local theater. The cost of a teacher ticket is $25 and the cost of a student ticket is $13. Write an expression to show the cost of t teacher tickets and s student tickets.
Answer:
25t + 13sStep-by-step explanation:
Teacher ticket = $25Student ticket = $13Expression to show the cost of t teacher tickets and s student tickets:
25t + 13sThis graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.
Enter an equation that
describes the relationship
between c and h.
Submit
Answer:
c= -20h + 90
Step-by-step explanation:
The equation that describes the relationship between c and h is:
[tex]c= -20h + 90[/tex]
We have the graph that shows the amount of charge left on computer, c, after h hours.
Let us consider two points (h, c) on the graph
(0,90) and (4.5, 0)
Now the equation of the line passing through two points
[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]
So, the equation that describes the relationship between c and h is:
[tex]c= -20h + 90[/tex]
Learn more:https://brainly.com/question/16934180
Which of these does NOT represent the number of minutes in a hour?
Answer:
the question is cut in half
Find the nth term of this quadratic sequence
4,9, 16, 25, 36,
Answer:
[tex]a_{n}[/tex] = (n + 1)²
Step-by-step explanation:
The terms are square numbers with each term shifted to the right by 1
That is 1, 4, 9, 16, 25, 36, .....
Thus to obtain 4 in the first position, then
n = 1 → (1 + 1)² = 2² = 4
To obtain any term add 1 to its position in the sequence, that is
[tex]a_{n}[/tex] = (n + 1)²
Select the correct answer.
Which statement is true about this equation?
3(-y + 7) = 3(y + 5) + 6
A
The equation has one solution, y= 0.
OB.
The equation has one solution, y=-1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.
Reset
Answer:
THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.
Step-by-step explanation:
A
The equation has one solution, y= 0
The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the ochard produce in one year