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3 years ago

Find the point slope equation for the line that passes through the points (2,1) and (-2,5).

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

y-1=-x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-1)/(-2-2)

m=4/-4

m=-1

y-y1=m(x-x1)

y-1=-1(x-2)

y-1=-x+2

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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

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5 0

1 year ago

Sistemas de ecuaciones

kolezko [41]

Answer:

El Dr. Potter aplicó 32 vacunas de polio y 28 de sarampión.

Step-by-step explanation:

- First, the data must be taken into account to create the equations:

X + Y = 60; (Equation 1)

- Where:

X = Number of polio vaccines and Y = Number of measles vaccines.

4X + 2Y = 184; (Equation 2)

Where for each polio vaccine there are 4 doses and for each measles vaccine there are 2 doses.

- We clear the variable that we want to find in each equation:

Y = 60 - X; (And we call it equation 3)

Y = (184-4X) / 2; (And we call it equation 4)

- Now both equations are equalized in terms of the same variable:

60 - X = (184 - 4X) / 2

- Then X is cleared to find its value:

120 - 2X = 184 - 4X

4X - 2X = 184 - 120

2X = 64

X = 32

- Now we demonstrate the value of X obtained in equation 1 or 2 to give the values of Y

(32) + Y = 60

Y = 60 - 32

Y = 28

- Finally, both values are used to see if equation 2 gives us the correct data:

4 (32) + 2 (28) = 184

128 + 56 = 184

- The answer is given:

Dr. Potter gave 32 polio and 28 measles vaccines.

6 0

3 years ago

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

Natali5045456 [20]

Answer:

$y=-\frac{5}{3}x-3$

Step-by-step explanation:

Equation of straight line in point slope form is given a s

$(y-y_1)=m(x=x_1)$

Here

$m=-\frac{5}{2} \ and\ (x_1, y_1)=(0, -3)$

$(y+3)=-\frac{5}{3}(x-0)$

$y=-\frac{5}{3}x-3$

6 0

2 years ago

I need this answer hurry please

Brums [2.3K]

Answer:

21 ft²

Step-by-step explanation:

3*5 + 2*3 = 21

4 0

3 years ago

Guys help me what is 137x8 multiply with expanded form???????????? Please help!!!!!!!!!!!!!!!!!! 33 points for the person who he

Helen [10]

Answer:

maybe 20

Step-by-step explanation:

or find it out yourself

4 0

3 years ago