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den301095 [7]
3 years ago
8

For a given pair of points, find the equation of the line y=mx+b that goes through the points by solving a system of linear equa

tions. (3,3) and (5,7)
Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

y = 2x - 3

Step-by-step explanation:

the formula for finding equation of a line is m = (y2 - y1 )/(x2 - x1). that is (7-3)/(5-3) which gives you 4/2 = 2.

you then chose one of the point and fill in the equation y - y1 = m (x -x1)

So let's chose (3,3) and fill in.

y - 3 = 2 (x - 3)

y - 3 = 2x - 6

y - 2x = -6 + 3

y - 2x = -3

Hence, the equation of the line is y = 2x - 3

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Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.
sleet_krkn [62]

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

I = 270

6 0
4 years ago
Read 2 more answers
-4.5x-2y=-12.5 3.25x-y=-0.75<br> solve by elimination
creativ13 [48]
-4.5x-2y=-12.5 and 3.25x-y=-0.75
we first multiply the second equation by -2
(-2)*(3.25x-y=-0.75)=-6.5x+2y=-1.5
add the equation to eliminate the y
so yo get (-4.5x-6.5x)=(-12.5-1.5)
-11x=-11
x=1
now we plug in x into any equation to solve for y
-45x-2y=-12.5 and x=1
(-45*1)-2y=-12.5
-4.5-2y=-12.5
-2y=-12.5+4.5
-2y=-8
y=4
then your answer is x=1 and y=4
5 0
3 years ago
Jack works as a waiter and is keeping track of the tips he earns daily. about how much does jack have to earn in tips on sunday
OLga [1]

A mean is an arithmetic average of a set of observations. The amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

<h3>What is Mean?</h3>

A mean is an arithmetic average of a set of observations. it is given by the formula,

\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}

As it is given that Jack makes $12 on Monday, $14 on Tuesday, $18 on Wednesday, $16 on Thursday, $26 on Friday and $22 on Saturday. And we need to know how much he should earn on Sunday, so the average is $19. Therefore, we can write,

\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}

19 = \dfrac{12+14+18+16+26+22+x}{7}\\\\133 = 108 + x\\\\133-108=x\\\\x = 25

Hence, the amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

Learn more about Mean:

brainly.com/question/16967035

5 0
2 years ago
One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.
KiRa [710]
Hello.

First, draw a picture of two parallel lines and a transversal.
Find the two same side angles, either the same side interior or the same side exterior.
We do not know the measurement of the angle, so we'll label it x.
The second angle is 20° smaller than the other one so we'll label is x-20

Same side angles are supplementary. Meaning that they add up to 180°

Next, make an equation.
1st angle + 2nd angle = 180°
Now substitute the first and second angle to x and x-20
The substituted equation should now look like this.
x+x-20=180
solve it and you'll get...
x=100

But we're not done.

The angle labeled x is 100°
The other one is x-20
And since x=100, the second angle is 100-20=80°
Now use linear pairs, more same side angles, vertical angles, alternate angles, and linear pairs, to label the rest. Remember that each angle is either 100° or 80°.

Hope this helped!

-Emily
 

3 0
3 years ago
What is the length of segment AC?<br><br> (Picture attached)
natka813 [3]
6^2 + 8^2 = c^2. \newline&#10;36 + 64 = c^2. \newline&#10;c = \pm10 \Rightarrow AC = 10.
8 0
4 years ago
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