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kkurt [141]
3 years ago
7

Ethan and Chloe shared £50 in the ratio 1:4

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

10:40

Step-by-step explanation:

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What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)​
Alekssandra [29.7K]

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3x + y = 6

y =  - 3x + 6

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

( - 3) \times (m) =  - 1

m is the slope of the line which we want.

- 3m =  - 1

Negatives simplifies

3m = 1

Divide sides by 3

\frac{3m}{3}  =  \frac{1}{3}  \\

m =  \frac{1}{3}  \\

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We have following equation to find the point-slope form of the linear functions :

y - y(0) = m(x - x(0))

x(0) and y(0) are the coordinates of the point which the line passed through.

y  - 8 =  \frac{1}{3} (x - 0) \\

y - 8 =  \frac{1}{3} x \\

Add sides 8

y =  \frac{1}{3} x + 8 \\

Done....

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6 0
2 years ago
Angles R and S are complementary. If angle R is = 4x - 20 and angle S = 6x - 7, then angle R measures ___ degrees.
Shalnov [3]

Answer:

26.8°

Step-by-step explanation:

4x - 20 + 6x - 7 = 90

10x -27 =90

10x = 90+27

10x= 117

x = 11.7

so, the angle R = 4x-20 =4(11.7)-20

= 46.8-20 = 26.8°

6 0
2 years ago
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided or the upload o
AlexFokin [52]
We are given with the coordinates of one of the points of a line which is
(1,2)
In order to generate an equation of a line, we need at least one other point or the slope of the line. If we are given with the slope of line, we can use the point slope form which is
y - y1 = m (x - x1)
substituting
y - 2 = m(x - 1)
8 0
3 years ago
Say something nice about me
Kruka [31]

Answer:

you are a wonderful human being dont give me on whats here for you in this world

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.
iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 m/s^2

<u>Given the following data:</u>

  • Mass of bookshelf = 51.5 kilogram
  • Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

Acceleration = \frac{Net\;force}{Mass}

Substituting the given parameters into the formula, we have;

Acceleration = \frac{67}{51.5}

Acceleration = 1.30 m/s^2

Read more on net force here: brainly.com/question/1121817

7 0
2 years ago
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