Which equation represents the line that passes through the points (1, 1) and
(-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11
PLEASE HELP
ILL GIVE YOU BRAINIEST
Answers
Answer:
Option (B)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line which passes through the points (1, 1) and (-4, 7) will be,
m = [tex]\frac{7-1}{-4-1}[/tex]
= [tex]-\frac{6}{5}[/tex]
By substituting the value of m in the equation,
y = [tex]-\frac{6}{5}x+b[/tex]
Since, this line passes through (1, 1),
1 = [tex]-\frac{6}{5}(1)+b[/tex]
b = [tex]1+\frac{6}{5}[/tex]
= [tex]\frac{11}{5}[/tex]
Therefore, equation will be,
[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]
5y = -6x + 11
6x + 5y = 11
Option B is the answer.
Related Questions
The number line shows the locations of points A and C.
If point B is 1/3 of the way from point A to point C, what is the coordinate of point B ?
Answers
Answer:
Point B would be at 2.5
Step-by-step explanation:
The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.
Answer:
2.5
Step-by-step explanation: i did it on a test and got it right
How do solve this question? Find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form. With the equation 2x + 5y= -10 point (10, 4).
Answers
Answer:
y = -2/5 x + 8Step-by-step explanation:
First we need to find the slope of the given line;
Given the line 2x + 5y= -10, we need to write it in standard form of y = mx+c
Make y the subject of the formula;
2x + 5y= -10
5y = -2x-10
y = -2x/5-10/5
y = -2x/5 - 2
Hence the slope of the line m = -2/5
Since the equation of the line we need is parallel to this line, hence they will have the same slope.
The slope of the required line = -2/5
Get the intercept;
Substitute the point (10,4) and m = -2/5 into the equation y = mx+c
4 = -2/5(10)+c
4 = -4 + c
c = 8
Get the required equation;
y = mx+c
y = -2/5 x + 8
Hence the equation of a line parallel to the given line and contains the given point is y = -2/5 x + 8
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
A.
4 pairs for $4.99
B.
6 pairs for $7.99
C.
8 pairs for $10.99
D.
12 pairs for $15.99
Answers
Answer:
I'm sure the correct answer is A. 4 pairs for $4.99.
Step-by-step explanation:
Please tell me if I'm wrong. And also the answer is not B for other's that may think it is. I hope you find this helpful, have a great day.
. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?
Answers
Answer:
14
Step-by-step explanation:
21 times 2 = 42
42 divided by 3 = 14
is 0.25 equivalent to 2/5
Answers
Answer:
evidently
Step-by-step explanation:
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
A
X
1
2.
3
4
5
y
4
12
36
108
324 B X 1
2
3
4
5
у
9
10
11
12
13. C
X
1
2
3
4
5 7 28
49
70
91
D X 1 2 3
4
5 y 4
12
20
28. 36.
Answers
Answer: A
Step-by-step explanation:
All of the other tables increase steadily. Table A is the only one where the y value increases by a multiplication factor.
Table B increases by 1 each time.
Table C increases by 21 each time.
Table D increases by 8 each time.
The system of equations is graphed on the
coordinate plane.
y = x - 1
y = -2x - 4
Enter the coordinates of the solution to the
system of equations in the boxes.
(___,___)
Answers
If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3
Answers
Answer:
f(g(x)) = 4x³
Hence, option C is true.
Step-by-step explanation:
Given
[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]Determine:
f(g(x)) = ?
solving the f(g(x))
f(g(x)) = f(x³)
= 4x³
Therefore,
f(g(x)) = 4x³
Hence, option C is true.
The expression 2y+ 2.6 is equal to ? for y=5
Answers
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
5x - 2y = 9
x + 3y = -5
Solve by Substitution
Answers
Hiiiiiiiiiiiiiiiiiiiiiiii
What is the slope of this graph?
A. -1/4
B. 1/4
C. -4
D. 4
Answers
Answer:
-4
Step-by-step explanation:
its negative because it is decreasing from left to right and 4 because it goes down 4 over one not down one over four
Answer: B : -1/4
Step-by-step explanation: The line is going down to the right which is a negitive slope. So that takes out the options B and C. Then to find the slope you find a point and go over one down four, therefour -1/4. Hope This Helps!
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?
Answers
Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]
After some algebraic handling we find this equivalent expression:
[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)
The polynomial is factorized by the Quadratic Formula:
[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]
Since all roots are complex, we conclude that Natalie cannot make it over the fence.
Triangle A″B″C″ is formed by a reflection over y = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
segment A double prime B double prime equals four segment BC
segment BC equals 4 segment A double prime B double prime
segment AB over segment A double prime B double prime equals one fourth
segment C double prime A double prime over segment CA equals one fourth
Answers
Answer: C. Segment AB over segment A double prime B double prime equals one fourth.
Step-by-step explanation:
Hope this helps. I just took the test and got the answer right!
Answer:
C.segment AB over segment A double prime B double prime equals one fourth
Step-by-step explanation:
I also took the test and it's correct. Scouts Honor and Good Luck! If this helped you please heart it.
2 1/3 + 3 2/4 =
Fractions
Answers
Step-by-step explanation:
2 1/3+3 2/4=7/3+14/4
=28/12+42/12 (common denominater)
=70/12
=5 10/12
Please please please someone help me
Answers
Answer:
15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
Substutting in q(x) makes 3=4/5x-9
Add 9 to both sides to get 12=4/5x
Divide both sides by 4/5 and get 15=x
Thus, x=15
The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent?
The ball travels an average distance of 112 feet from 2 seconds to 5 seconds.
The ball falls down with an average speed of 48 feet per second from 2 seconds to 5 seconds.
The ball falls down with an average speed of 112 feet per second from 2 seconds to 5 seconds.
The ball travels an average distance of 48 feet from 2 seconds to 5 seconds
Answers
Answer:
A.48
Step-by-step 789333
Find the slope of a line that passes through the points (2,3) and (4,1)
Answers
Answer:
The slope is -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
use y2-y1/x2-x1=m to find slope so if you plug both of the points in you would get 1-3/4-2=-2/2 and that would equal -1
Help please will give brainliest for correct answer
Answers
Answer:
park to market to field is 16
home to field is: 9
home to park to market is: 13
school to market:7
Answer:
give me brainliest
park to market to field is 16
home to field is: 9
home to park to market is: 13
school to market:7
Step-by-step explanation:
His problem probably won’t be too hard! Help please I need it ASAP
Answers
Answer:
24
Step-by-step explanation:
24 is the answer ksnskskskndndkdnd
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answers
Answer:
Step-by-step explanation:
how do you simple this
Answers
Answer:
Turn the first fraction into a mixed number then simply
Step-by-step explanation:
2x100x3x0 solve lol :)
Answers
Answer:
the answer is 0
Step-by-step explanation:
2x100x3x0 equals and levels out to 0 :)
Answer:
0
Step-by-step explanation:
100 x 2 = 200
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What is 1/6 divided by 6/7
Answers
7/36
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School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students? A. 6 chaperones B. 41 chaperones C. 7chaperones D 3 chaperones
Answers
Answer:
A. 6 chaperones
Step-by-step explanation:
Since it's 2 chaperones per 25 students you would need to see how many times 25 can fit into 82
82/25 = 3.28
You can round that number to 3
Then you'll multiply 3 by 2 to get your number of chaperones for the school trip
3 x 2 = 6
There's still students left but not enough for there to be another chaperone so the answer is 6
What is an equation of the line that passes through the points (0, -4) and
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Answers
Answer:
5-8. 10- 8 39-66 87 9-99 01 45,
NEED HELP!! what are the coordinates of point j?
Answers
Answer:
(7,4)
Step-by-step explanation:
Dan eats of a pizza.
2
Rachel eats another of the pizza.
What fraction of the pizza was eaten?
Answers
the answer is 3/5 on slime
MARKING AS BRAINLIST PLEASE HELP ONLY ANSWER IF YOU KNOW
Answers
Writing equation of the line that passes through the given points (16, -4) ; m= -3/4
Answers
Answer:
y = -3/4 - 12
Step-by-step explanation:
y = x2+x-30
what are the factors
Answers
Answer:
2 and x are the factors of 2
Step-by-step explanation: