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Stella [2.4K]
3 years ago
15

Right and equation of the line that passes through point P and is parallel to the line with the given equation

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0
Y+3=4(x–3)
y=4x - 15




.................,
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20.   The sum of two consecutive even integers is 158. Find the least of the two integers. 
Mumz [18]

Answer:

78

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns.  We are told that we are working with two consecutive even integers.  Consecutive means "next to" or "in order" and sum means to add.  If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2.  So the lesser of the 2 integers is x, and the next one in order will be x + 2.  (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem.  You could pick any 2 even consecutive integers and find the same rule applies.  All we are doing here with the example numbers is finding a rule for our integers.)  Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

2x + 2 = 158 and

2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the system of inequalities?
vivado [14]
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign. 

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1). 

Substitute 3 to x and determine the value of y from the second inequality.
 2y ≥ x - 4

Substituting,
  2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one. 
6 0
3 years ago
Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.​
Elanso [62]

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

5 0
3 years ago
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If 12 and 20 each divide K without a remainder, what is the value of K?
Juli2301 [7.4K]

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 20: 1, 2, 4, 5, 10, 20

In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.

4 0
3 years ago
Read 2 more answers
Another question i will give brainlilest!
Strike441 [17]

Answer:

2π

Step-by-step explanation:

Area = πr^2

        = π2^2

        = 4π

4π is the area of the whole circle, so divide it in half to get the semicircle.

        <u>= 2π</u>

5 0
3 years ago
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