Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).

Answers

Answer 1

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6


Related Questions

HELP PLAESE!!!!!!!!!!!!!! I NEED HELP

Answers

Answer:

A

Step-by-step explanation:

B doesn't sound right

C doesn't either

D is just wrong

What is 8 1/4 divided by 3 1/2?

Answers

Answer:

2 5/14

Step-by-step explanation:

can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)

Answers

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

Please help me! I need this answered fast!

Answers

Answer:

3. B

4. D

hope this helps

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

Answers

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Graph the difference between (4.5, -1.5) and (4.5, 7.25)

Answers

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

Which of the following values for x are solutions of the equation: 2|X|+3=5

Answers

Answer:

X=1 or X=-1

Step-by-step explanation:

2|X|+3=5 ⇒|X|=1 ⇒X=1 or X=-1

Hellohello, if you able to help me then please do. (:

Answers

Answer:

Step-by-step explanation:

it will always be true as long as it is adittion the r is the unknown number just add 15 plus what equals 25

Arrange in ascending, then
descening order​

Answers

Answer:

Ascending: 6.0123, 6.0321, 6.321, 6.331, 60.123

Descending: 60.123, 6.331, 6.321, 6.0321, 6.0123

What is 5/3s+19/15= -3/5?

Answers

Answer:

I hope I didn't make mistakes, because I solved it without calculator

Step-by-step explanation:

[tex] \frac{5}{3} s + \frac{19}{15} = - \frac{3}{5} \\ \frac{5}{3} s = - \frac{3}{5} - \frac{19}{15} \\ \frac{5}{3} s = \frac{ - 9 - 19}{15} \\ \frac{5}{3} s = \frac{ - 28}{15} \\ s = - \frac{28}{15} \times \frac{3}{5} [/tex]

[tex]s = - \frac{28}{25} [/tex]

I need help on this homework

Answers

Answer:

5=10(0)+5

Step-by-step explanation:

1.write the equation y2-y1/x2-x1

2.fill in your coordinates

3.substitute and there is your slope (m)

4.write out y=mx+b

5.fill in y (5) and x (0) with the first coordinates and add 10 to m

6.sunsitute till you've solved b

7.there ya go (:

Match each fraction with an equivalent fraction

2/8 1/4

4/8. 1/3

6/10. 3/5

1/2

Answers

Answer:

down here (no pair for 1/3 so i made one up)

Step-by-step explanation:

2/8 = 1/4

4/8 = 1/2

1/3 = 2/6

6/10 = 3/5

You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance traveled d as a function of time t can be modeled by a quadratic function. What is the quadratic function that models distances of 21 ft at 1 s, 59 ft at 2 s, and 141 ft at 4 s?

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

[tex]s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4[/tex]

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

[tex]y= ax^2 + bx + c\\\\21=a+b+c[/tex]      Inserting the coordinates of the first point

[tex]y= ax^2 + bx + c\\\\59 =4a+2b+c[/tex]              Inserting the coordinates of the second point

[tex]y= ax^2 + bx + c\\\\141=16a+4b+c[/tex]       Inserting the coordinates of the third point

The graph shows a line and two similar triangles.

What is the equation of the line?

A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x​

Answers

Answer:

a y=3/2× Pls help me do me one

a

PLZ HELP me with this and i will elect brainliest winne i promise just look at the photo and tell me what to do plz.

Answers

You could use math in food

help asap please!!!!
what is an equation of the line that passes through the point (-5, 7) and is parallel to the line x+5y=10?

Answers

Answer:

y = -1/5x + 6

Step-by-step explanation:

First rearrange x + 5y = 10 into y = mx + b format.

x + 5y = 10

5y = -x +10

y = -1/5x + 2

If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).

Plug in for y = mx + b

x (x coordinate) = -5

y (y coordinate) = 7

m (slope) = -1/5

Solve for b.

7 = -5(-1/5) + b

7 = 1 + b

b = 6

y = -1/5x + 6 is parallel.

please help (no links)

Answers

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

Harper has a mask collection of 400 masks. She keeps 21% of the masks on her wall. How many masks does she keep on her wall?

Answers

Answer:

84

Explanation:

400 × 21%

= 400 ÷ 100 x 21 (because 21% = 21/100)

= 84

i hope this helps! :D

help solve please!!!!

Answers

Answer:

60 squared cm

Step-by-step explanation:

If half of the top of the shape is 3, that means the whole top is 6.

6 x 10 = 60

Area = Length x Width

So, 3cm is only half so I think it would have to be changed to 6cm to be the full width. Then, is length X width, so 6 X 10 meaning it would be 60cm^2, I think.

Does 5/8 and 12/20 form a proportion

Answers

no it doesn’t form a proportion

pls help

Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?

Answers

Answer: 195

Step-by-step explanation:

585/9=65

65*3=195

Answer:

The answer is 195 students.

Step-by-step explanation:

There are 2 solutions for this.

1st solution.

1. Start with the basics, the number of pictures we have altogether, 585.

2. Divide the number 585 by the number of students which is 3 to identify the total number of students that reported the 585 pictures.

3. 585/3 = 195, the total number of students.

2nd solution.

1. Start with the total again, the number of pictures we have altogether, 585.

2. Divide the number 585 by the number of pictures in each group total received pictures which is 9.

3. 585 divided by 9 = 65.

4. Take the number 65 which is the number of groups and multiply it by 3 the number of students in each group which will lead to the answer 195 again.

5. 195 is the number of students in total.

6. Extra: to even re-check your answers, multiply 195 by 3 and u will get 585, because each student did 3 reports.

Math
2 miles is the equivalent to how many feet?

Answers

Answer:

10,560

Step-by-step explanation:

Super easy

Brainliest please :)

10560, hope this helps

2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?

Answers

x+(x+1)=425
2x+1=425
2x=424
x=212

Therefore, Brian is on page 212.

Write the slope-intercept form of the equation of the line parallel to the
graph of 2x + y = 5 that passes through (0, 1).

Answers

Answer:

          y = -2x + 1

Step-by-step explanation:

2x + y = 5       ← given line

2x + y = C      ← any parallel line

The line passing through (0, 1), therefore:

2×0 + 1 = C

C = 1

2x + y = 1    ←  the parallel line that passes through (0, 1)

To change it to slope-intercept form we just need to subtract 2x from both sides:

y = -2x + 1

Find the area of the composite figure.

A. 51 m2

B. 81 m2

C. 102 m2

D. 420 m2

Answers

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

A simple and easy math question.

Answers

Answer:

Cheetah

Blue Wildebeest

Brown Hare

Elk

Step-by-step explanation:

Divide the distance by the time.

Blue Wildebeest: 33 1/3 divided by 2/3 = 50

Brown Hare: 8 divided by 1/6 = 48

Cheetah: 7 divided by 1/10 = 70

Elk: 18 divided by 2/5 = 45

Now you have to order the animals from who has the biggest number(top) to who has the smallest number (bottom).

Answer:

Elk

Brown Hare

Blue Wildebeast

Cheetah

Step-by-step explanation:

Divide the distance by time to make percent

Blue Wildebeast- 33 1/3 ÷ 2/3 = 50%

Brown Hare- 8 ÷ 1/6 = 48%

Cheetah- 7 ÷ 1/10 = 70%

Elk- 18 ÷ 2/5 = 45 %

Least to Greatest: 45%, 48%, 50%, 70%

Least (top) to Greatest (bottom): Elk, Brown Hare, Blue Wildebeast, Cheetah

9
Find the missing angle.
20"
80°
100°
50
80°
70°

Answers

Answer:

80°

Step-by-step explanation:

20°+80°+missing angle=180°

missing angle=180°-100°=80°

what the distance from c to d

Answers

Answer:

i think that the answer is 7 units

Step-by-step explanation:

let me know if im wrong

Answer:

5

Step-by-step explanation:

it was correct for me

CAN SOMEONE PLZ HELP ME!!!!

Answers

x= 118°

The sum of all the angles is 422°
A pentagon adds up to 540°
540°-422°= 118°

please solve this simultaneous equation

Answers

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

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