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2 years ago

Write the equation of a horizontal line that passes through the point (3,-3)

1 answer:

3 0

Y= mx+b

Since this line is horizontal it's slope = 0 ==> the y=b

It passes by the point (3,-3) that means b=-3 & the equation is y=-3

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Solve the simultaneous equations

Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

(6,3)

Step-by-step explanation:

Given equations are:

$3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2$

There are three methods to solve simultaneous equations

Elimination
Substitution
Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

$3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3$

Putting y = 3 in equation 2

$3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6$

Hence,

The solution for given system of equations is: x = 6 and y = 3

(6,3)

7 0

3 years ago

Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22

AfilCa [17]

Answer:

5/12

Step-by-step explanation:

Dividing each fraction by a divisible number results in

3/9= 1/3

6/14=3/7

4/22=2/11

4 0

2 years ago

Which point is a distance of 5 units from the point (1,9)

Vesna [10]

I believe it's 5,6

Hope this helped!

3 0

3 years ago

How long does it take a car to travel 200 mi at a constant speed of 25 mi/h?

beks73 [17]

First you have to do $200/25=8$ .
Since the car is moving at a constant rate, the answer would be 8h.

7 0

3 years ago

Read 2 more answers

What is mean of 8,3,3,7 and 4

Marina86 [1]

The mean is the average of the numbers. To obtain it, you add all the numbers together and divide by the number of numbers. So:

8+3+3+7+4= 25

25:5= 5

So the answer is: the mean is 5.

3 0

2 years ago