Lines l and M are parallel. Line l can be represented by the equation 3x+4y=8. If line m passes through the point (2, -5), which equation can be used to find the equation of line m?

Answers

Answer 1

Answer:

3y - 4x + 7 = 0

Step-by-step explanation

The equation of the line l in point slope form is expressed as;

y-y0 = m(x-x0)

Get the slope m of the known line

Given the line 3x+4y=8

4y = -3x+8

y = -3x/4 + 2

m = -3/4

The slope of the line m = -1/(-3/4) = 4/3

Substitute m = 4/3 and the point (2,-5) into the expression above;

y - (-5) = 4/3(x-2)

y+5 = 4/3 x + 8/3

Multiply through by 3;

3y + 15 = 4x + 8

3y-4x + 15 - 8 = 0

3y - 4x + 7 = 0

Hence the equation that can be used to find the equation of line m is 3y - 4x + 7 = 0

Answer 2

Equation that can be used to find the equation of line m is

[tex]y+5=\frac{-3}{4} (x-2)[/tex]

Given :

Lines l and M are parallel. Line l can be represented by the equation 3x+4y=8

Line m passes through the point (2, -5)

Equation of line L is [tex]3x+4y=8[/tex]

Lets find out the slope of the given equation by writing it in y=mx+b form

where m is the slope

[tex]3x+4y=8\\4y=-3x+8\\y=\frac{-3}{4}x +2[/tex]

the slope of line L is [tex]\frac{-3}{4}[/tex]

Slope of parallel lines are equal

slope of parallel line M is also [tex]\frac{-3}{4}[/tex]

Line M passes through (2,-5)

We use point slope formula to find equation of line m

[tex]y-y_1=m(x-x_1)\\y+5=\frac{-3}{4} (x-2)\\[/tex]

Multiply both sides by 4

[tex]4(y+5)=-3 (x-2)\\4y+20=-3x+6\\3x+4y+20=6\\3x+4y=14[/tex]

equation can be used to find the equation of line  is

[tex]y+5=\frac{-3}{4} (x-2)[/tex]

Learn more :  brainly.com/question/19729250


Related Questions

Please help!! I’ll do what ever! find m<1, m<2, m<3, m<4, and m<5,

Answers

Answer:

1.)111

2.)69

3.)60

4.)60

5.)51

1. Angles in a triangle and on a straight line add to 180°
180-65-46=69°
180-69=111°
2. 180-111=69°
3. 180-142=38°
180-38-82=60°
4. Opposite angles are equal =60°
5. 180-69-60=51°

Please help, will give brainliest. Evaluate each expression for the given value of the variable(s). And Explain, Please.


3d - 4

d = 1.2

Answers

Answer:

-0.4

Step-by-step explanation:

3d-4 where d=1.2

substitute 1.2 for d and solve

3(1.2)-4

3.6-4= -0.4

At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 13 OF the amount less than at the beginning. How many ounces of peanut butter are in the pantry now?


A. 23•80


B. 13•80


C. 80−13


D. (1+13)•80


BRAINLIEST!!

Answers

Answer:

well for me

Step-by-step explanation:

I think it's 80-13 because it reduced by a minus 13

The answer is C because if your reducing 13 you would be subtracting

Please help with all pleaseeeee.

Answers

Step-by-step explanation:

5. da^2

7×4^2

=7×16

=112

6.g(b+e)

=10(8+3)

=10×11

=110

7.a+b(f+g)

=4+8(9+10)

=4+8×19

=4+152

=156

8.a+b/3

=4+8/3

=12/3

=4

The property that says 2+3 is equivalent to 3+2​

Answers

Commutative property
remember: a + b = b = a

Which one of these formulas describes the following sequence?

1,5,12,22,35

Answers

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: [tex]a n^2 + b n + c[/tex], where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

[tex]1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c[/tex]

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

[tex]\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}[/tex]

Leah and Dan are trying to prove that the triangles below are congruent. Leah says they are congruent by the AAS congruence criteria, while Dan says they are congruent by the ASA congruence criteria. Who is correct? Explain.

Answers

Answer: Leah is correct, it’s AAS

Explanation: angle C = angle N
angle B = angle M
AB = LM
ABC = LMN, alternate interior angles of parallel lines are congruent

6= 2(y+2). Helppppppppppppppp

Answers

Answer:

y=1

Step-by-step explanation:

6=2y+4

2=2y

y=1

McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study.
Noncontact Athletes:
10, 8, 7, 9, 13, 7, 6, 12
Contact Athletes:
7, 4, 9, 3, 7, 6, 10, 2
a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with \alpha=.05
t-critical=
t=
b. Compute the value of (percentage of variance accounted for) for these data.
r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264

Answers

Answer:

[tex]t _{critical} = 1.760[/tex]

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

[tex]H_o: \mu_1 - \mu_2 = 0[/tex]

Alternative hypothesis;

[tex]H_a : \mu_1 - \mu_2 > 0\\[/tex]

The pooled variance t-Test would have been determined if the population variance are the same.

[tex]S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}[/tex]

[tex]S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}[/tex]

[tex]S_p^2 = 7.14[/tex]

The t-test statistics can be computed as:

[tex]t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}[/tex]

[tex]t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}[/tex]

[tex]t= \dfrac{3}{1.336}[/tex]

t = 2.2450

Degree of freedom [tex]df = (n_1 -1) + ( n_2 +1 )[/tex]

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

[tex]t _{critical} = 1.760[/tex]

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject [tex]H_o[/tex] and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

[tex]r^2 = \dfrac{t^2}{t^2 + df}[/tex]

[tex]r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}[/tex]

[tex]r^2 = \dfrac{5.040025}{5.040025+ 14}[/tex]

[tex]r^2 = 0.2647[/tex]

at a baseball game 70% of the people in the crowd purchase popcorn. There were 250 people in the crowd. How many people purchased popcorn?

Answers

12 is the answer so i can be that

Answer:
35

Step-by-step explanation:
The answer is 35 because 250 divided 7 is 35

identify the slope and y-intercept of the line given below y=5x-1

Answers

Answer:

Slope: 5

Y-intercept: -1

Step-by-step explanation:

This equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

From this, we can see that 5 is m and -1 is b.

Therefore, the slope is 5 and the y-intercept is -1

Hope this helps! :)

Julie is training to be in the hot dog eating contest. Her daily goal is to be able eat twice the amount of hot dogs she ate the day before. Her ultimate goal is to be able to eat 128 hot dogs in one day. If she eats 2 hot dogs on the first day, how many days will it take for her to reach her goal

Answers

The answer is - 64

Because 2 ➗128 = 64

PLEASE MARK BRAINLIEST!!
It takes Julie 7 days.

Day 1 - 2 hot dogs
Day 2 - 4
Day 3 - 8
Day 4 - 16
Day 5 - 32
Day 6 - 64
Day 7 - 128

Explain how Sergio use three lengths of a ribbon 2 ½ feet long to wrap packages. How many feet of ribbon did he us

Answers

Answer:

rate this 5 stars or your gay

Step-by-step explanation:

Just do it

please help????????​

Answers

Answer:

k=140

Step-by-step explanation:

64+76=140

180-140=40

180-40=140

0.96 is 1/10 of what?

Answers

Answer:

0.96*10 is 9.6.

Step-by-step explanation:

QUICK PLS HELP
Before attending a basketball course, a player found that 60% of his shots made a
score. After attending the course, the player claimed he had improved. In his next
game he tried 12 shots and scored in 10 of them. Assuming shots to be
independent, test his claim at the 10% level of significance

Answers

Answer:

Step-by-step explanation:

60% = 7.2/12

83% = 10/12

He improved by a supposed 23%

Which of the following is equal to 3.TE?

Answers

Your answer is 37( 32 in ur mom equal to 3-4

1.15x10^-5 in standard form

Answers

Step-by-step explanation:

= 1.15 / 10⁵

115/10000000

0.0000115

is the correct answer

Jessica completed 21 math problems In 14 minutes at this rate how many math problems could complete in 30 minutes

Answers

Answer

45

Explanation

What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.

a flag measures 90
feet by 60 feet. What is the perimeter of
this flag?

Answers

300 feet you add 90 twice which gets you 180 and then add 60 twice which gets you 120 and 120 plus 180 is 300

a map has a scale of 1.5 inches = 9 miles. On the map, two towns are 4 inches apart. What is the distance, in miles between the two towns?

Answers

Answer:

36

Step-by-step explanation:

i multpliy 9x4=36

12. What is the slope of line with the points (2,2) and (1,5)?

Answers

Answer:

- 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{5 - 2}{1 - 2} = - \frac{3}{1} = - 3 \\ [/tex]

We have the final answer as

- 3

Hope this helps you

Select the tables that show a proportional relationship between x and y.

Answers

Answer:

The table in blue

Step-by-step explanation:

The following is an example of what type of sequence? 3, 11, 19, 27, 35...

A: Geometric
B: Ratio
C: Ratio
D: Difference ​

Answers

Answer:

You have a series that increases by 8 Therefore it Ar^n-1So its a geomtric sequence

Please send me a answer ASAP please thank you

Answers

Answer:

The answer would be D.9

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Find the value of x by filling in the blanks in the provided statement - reason solution.

I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!

Answers

Answer 1. mZUTV=m/

= 850

2. m/R+m/S+mc

3. 3x + 2x +

4. x=

can someone please help me!!

Answers

Answer:

its number 4 or row

Step-by-step explanation:

what are the ratios from least to greatest 5:8, 11:16, 18:32

Answers

Answer:

Least: 18:32

Middle: 5:8

Greatest: 11:16

The ordered pair (1, -2) is a solution to the system of linear equations.

2x + y = 0

-x + 2y = 5

True
False

Answers

Answer:

False

Step-by-step explanation:

2x + y = 0

Try (1, -2)

2(1) + (-2) = 0

2 + (-2) = 0

0 = 0

The solution works on the first equation.

-x + 2y = 5

-(1) + 2(-2) = 5

-1 - 4 = 5

-5 = 5

The solution does not work in the second equation.

Answer: False

Determine the value of x and y

Answers

Answer:

x=65, y=60

Step-by-step explanation:

x=65--->corrosponding angles with the triangle

x+y+55=180--->linear pair

(65)+y+55=180

y=60

Answer:

x=65 y=60

Step-by-step explanation:

Well, divide the hypotenuse between two triangles added onto the square root of the divisions between Mars and Pluto and we can derive the positive neutrons of the seventeenth quadratic of the Einstein constant equation.

or, know that x=65 due to it being on a parallel line to it, then due to their being 360 degrees around a point, 65+65+55+55=240, 360-240=120, then divide that by two to get it at y.

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