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marysya [2.9K]
3 years ago
6

Y - 11 = 3(x-2) write an equation in slope intercept form

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0
The answer is: Y = 3x+5
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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0
11 months ago
X: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
Ymorist [56]
The answer should be A. For example, if x = 1, and the ratio between x and y is y is 5 times greater than x, then y would equal 5, which is only true in A.

Or, use the number 5 as an example. If x = 5, and the ratio between x and y is y is 5 times greater than x, then y is 5.

And if you put that into A, y = 5x, it becomes 25 = 5(5)
Then 25 = 25, which is true!
3 0
2 years ago
The equation of a parabola is given.
Irina18 [472]

y = −1/4x^2 + 4x − 19

1. Use x = -b/2a to find x.

x = -4/2(-1/4)

x = -4/(-1/2)

x = -4/1 • (-2/1)

x = 8/1

x = 8

2. Plug x into the function to find your vertex.

Replace every x you see in the function with 8 and do the math.

Take it from here.

5 0
3 years ago
You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca
Crazy boy [7]

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

6 0
2 years ago
Susan is twice as old as lana. The sum of their ages 4 years ago was 37. Find how old they are now with solution need asap
goldfiish [28.3K]

Answer:

Lana is 15 and Susan is 30

Step-by-step explanation:

let Lana's age=x

Susan's age=2x

Their ages four years ago:

Lana=x-4

Susan=2x-4

Now their ages 4years ago was 37 so:

x-4+2x-4=37

3x-8=37

3x=37+8

3x=45

x=15

Since Lana's age is x,she is 15years

Since Susan's age is 2x,she is 30years

5 0
2 years ago
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