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pantera1 [17]
3 years ago
13

Write the point-slope form of an equation for a line that passes through the point with the given slope

Mathematics
1 answer:
V125BC [204]3 years ago
7 0
<h2>Answer:</h2>

Step 1: Determine the formula.

y - y₁ = m(x - x₁)

Step 2: Determine what variables you need.

(x₁,y₁) = a point on the line

m = slope

Step 3: Plug each number in for the variables and you have the completed point-slope form of the equation for the line.

y - 2 = 2(x - (-2))\\\\y - 2 = 2(x + 2)

The point-slope form of this line is: y - 2 = 2(x + 2).

See the image for the formula I used.

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Ellen Newman has an income of $18,150 and claims 5 exemptions. The amount allowed for each exemption is $1,000. Her state tax is
Vanyuwa [196]
State tax is computed by first subtracting the amount of exemptions (5*$1000=$5000) from annual income and then multiplying it by the state tax.

($18150-$5000)*5%= $657.50
3 0
3 years ago
GEOMETRY find the angle of PRQ NO LINKS!!
anzhelika [568]

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

4 0
3 years ago
you are taking a test worth 130 points. There are a total of 50 five-point and two-point questions. How many five-point question
REY [17]

Answer:

10 five-point questions and 40 two-point questions

Step-by-step explanation:

Let x represent the total number of five-point questions and y represent the total number of two-point questions.

Equation 1:     5x+2y=130

Equation 2:     x+y=50

Multiplying Equation 2 by 2:     2x+2y=100     (Equation 3)

(Equation 1) - (Equation 3):     3x=30

                                                  x=10

Substituting x=10 into x+y=50:     10+y=50

                                                            y=40

Therefore, there are 10 five-point questions and 40 two-point questions.


<h2><u>Check</u></h2>

Substituting x=10 and y=40 into Equation 1:

LHS=5x+2y=5(10)+2(40)=50+80=130

RHS=130

LHS=RHS

Substituting x=10 and y=40 into Equation 2:

LHS=x+y=10+40=50

RHS=50

LHS=RHS

Since in both cases the left-hand side is equal to the right-hand side, the answer is correct.

(LHS: left-hand side, RHS: right-hand side)

6 0
3 years ago
What is the sum -2/3 + (-1 1/6) = -4/6 + (-1 1/6)
Sophie [7]

Answer:

i think its 9 1/4

Step-by-step explanation:

7 0
3 years ago
Suppose we calculate a 95% confidence interval for the population mean to be (6.93, 11.45). how do we interpret this?
avanturin [10]
I believe that it deals with standard deviations you need to look at a graph of the standard deviation. 

6 0
3 years ago
Read 2 more answers
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