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Olenka [21]
3 years ago
13

Complete the equation of the line through (6,-6) and (8,8). Y =

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

7x-48

Step-by-step explanation:

we want our equation to look something like this

y=mx+b

let's start by solving for m (the slope) using the slope formula

\frac{y_2-y_1}{x_2-x_1}\\\\\frac{8-(-6)}{8-6}\\\\\frac{14}{2}=7

Which means, so far, our equation looks like this

y=7x+b

now we just need to solve for B

We can do this by plugging in a set of coordinates

-6=7*6+b

-6=42+b

-48=b

which means our equation is

7x-48

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Write the equivalent fractions for 4/9 and 10/11 using the least common denominator
Tcecarenko [31]

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

6 0
3 years ago
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Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal
Svetllana [295]

The principal loan amount will be 250000. P is denoted by the principal loan amount

<h3> What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P is the principal loan amount

r is the rate of interest = 2.49%

n is the time period= of 30 years

The formula for the principal loan amount  is found as;

\rm P=M(1-(1+\frac{r}{12} )^{\frac{12}{n}

\rm P=986.50(1-(1+\frac{0.249}{12} )^{\frac{12}{30} }\\\\ P= 250000

Hence the principal loan amount will be 250000.

To learn more about the amount, refer to the link;

brainly.com/question/12184047

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6 0
2 years ago
If ∠C and ∠D are vertical angles and m ∠ C = x + 5 and m ∠ D = –2x + 80, what is m ∠ C?
amm1812

Answer:

m∠C=30°

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal

so

m∠C=m∠D

substitute the given values

(x+5)\°=(-2x+80)\°

Solve for x

x+2x=80-5\\3x=75\\x=25

<em>Find the measure of angle C</em>

m∠C=(x+5)°

substitute the value of x

m∠C=(25+5)=30°

3 0
3 years ago
A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to
Nana76 [90]
2(1.25)+3x=5.05
2.5+3x=5.05
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3 years ago
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1 question 60 points need help now
kkurt [141]

Answer:

The answer to your question is  x = 0 and x = 1

Step-by-step explanation:

Equation

                       \frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1

1)

                      \frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1

Expand

2)                  x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3)                  2x² -2x + 2 = -1(x² + x - 2x - 2)

4)                  2x² - 2x + 2 = -x² + x + 2

Equal to zero

5)                  2x² - 2x + 2 + x² - x - 2 = 0

6)                  3x² - 3x = 0

Factor

7)                  3x(x - 1) = 0

8)                  3x₁ = 0                   x₂ - 1 = 0

9)                    x₁ = 0/3                x₂ = 1

10)                  x₁ = 0                    x₂ = 1

4 0
4 years ago
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