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rusak2 [61]
3 years ago
8

Find The constant of proportionality in the following equation: y=2/3 x

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

Answer:

the constant of proportionality is 2/3 because that is the value in front of x

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Hey you ‼️ yeah I unfortunately need your help again these are hard:(
Helga [31]

Answer:

Step-by-step explanation:

The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines

Slope of line 1:

(Yb -Ya)/(Xb - Xa) =

(-10 - (-14))/(-1 - (-3)) =

4/2 =

2

Use that slope to find the Y-intercept of line 1

y = 2x + b

-14 = 2(-3) +b

-14 = -6 + b

-8 = b

Therefore Line 1 is:

y = 2x - 8

Slope of line 2

(11 - 13)/(-1 - (-3)) =

-2/2 =

-1

Y-intercept of line 2

y = -x + b

13 = -(-3) +b

13 = 3 + b

10 = b

Therefore line 2 is

y = -x + 10

Now we have 2 equations to solve for the coordinates x and y

y = 2x - 8

y = -x + 10

Substitute y out in one of the equations

2x - 8 = -x + 10

3x = 18

x = 6

Plug x into one of the equations

y = 2(6) - 8

y = 12 - 8

y = 4

Therefore the solution is:

x=6, y=4

8 0
3 years ago
Read 2 more answers
Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the
earnstyle [38]

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

-3x-y< 12 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

2x+3y\geq 9 ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

3 0
3 years ago
Dan pays £714.73 a year on his car insurance
LenaWriter [7]

Answer:

The Current Insurance cost = $685.43

Step-by-step explanation:

Given that Dan pays £714.73 a year on his car insurance.

Reduced Percentage = 4.1%

so

Reduced Amount =  4.1% × 714.73

                             = [4.1 / 100] × [714.73]

                             = 0.041 × 714.73

                             = $29.30

The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.

so

Current Insurance cost = 714.73 - 29.30

                                       = $685.43

Therefore, the Current Insurance cost = $685.43

5 0
2 years ago
Question
Mashutka [201]

The equivalent value of given the expression is -17.25. Therefore, option C is the correct answer.

<h3>What is an equivalent expression?</h3>

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is -14-8×0.5+0.75.

Now, -14-8×0.5+0.75

= -14-(8×0.5)+0.75

= -14-4+0.75

= -18+0.75

= -17.25

The equivalent value of given the expression is -17.25. Therefore, option C is the correct answer.

To learn more about an equivalent expression visit:

brainly.com/question/28170201.

#SPJ2

4 0
1 year ago
Read 2 more answers
now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of
saw5 [17]

The components are Nx= Ncosθ  and Ny= -Nsinθ

<h3>What is a Vector?</h3>

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

Learn more about vectors here:

brainly.com/question/1600633

#SPJ4

7 0
1 year ago
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