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3 years ago

Write the standard form of the equation of the line described

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Hello!

First you have to find what y is at when x is -3 in the first equation

y = 5/3(-3) + 2

y = -3

A point of the original line is (-3, -3)

The line we want has to go up 2

To do this we add 2 to the y-intercept part of the equation

y = ? + 2 + 2

Since the line is parallel it has the same slope

y = 5/3x + 2 + 2

Simplify

The answer is y = 5/3 x + 4

Hope this helps!

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2h − 3 = 3 Need some help

QveST [7]

Answer: Let's solve your equation step-by-step.

2h−3=3

Step 1: Add 3 to both sides.

2h−3+3=3+3

2h=6

Step 2: Divide both sides by 2.

2h/2 = 6/2

h = 3.

8 0

3 years ago

6x + 3y = 33 4x + y = 15 A. x = 2, y = 7 B. x = -13, y = 7 C. x = - 2 3 , y = 12 2 3 D. x = 5, y = 1

klio [65]

6x+3y=33..........(1)

4x+y=15

y=15-4x.........(2)

substitute value of y from (2) in (1)

6x+3(15-4x)=33

distribute 3 over the bracket

6x+45-12x =33

-6x=33-45

-6x=-12

x=2

plugging this value of x in equation 2 we get

15-4x=y

15-4(2)=y

y=15-8

y=7

Answer is x=2 and y=7

3 0

3 years ago

Solve the equation. 5x + (2x + 40) = 180. What are the two angle measures of this supplementary angle?

satela [25.4K]

It is 5 and 6 supplementary

5 0

3 years ago

A pizzeria sells 452 pizzas in a day .The price for a pizza is £5.45 and the costs per pizza is £3.05.Calculate the profit if th

muminat

Answer:

$807.554098

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The ratio of Wei Ling's age to Wei Xuan's age 5 years ago was 2: 5. In 9 years

Archy [21]

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

$\frac{ L - 5}{X - 5} = \frac{2}{5}$

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

$\frac{L + 9}{X + 9} = \frac{3}{4}$

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

6 0

3 years ago