Write the equation of the line parallel to the given line through the point (-2,6)

Answers

Answer 1
Answer: The answer is Y=6x-2

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Given: y=x^2-4x-12 A.) determine the roots/zero (By factoring & setting the answer equal to zero) B.) use h=-b/2a to get vertex
2.3 divided by 1.4 please
4)A car is usually priced at £9800 but now has a discount of 8%.What is the new price of the car?
What is −9s−8+ 5s=−10
Rewrite the equation below into standard form. -3/2x=-2/5y-10/3

Kenny is planning to plant a rectangular garden that is 10 feet longer than it wide. Kenny wants to find its width if its area is 200 square feet. Write an equation that models this problem?

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Let the width be x, then the length is x + 10.
Area = length x width = x(x + 10) = 200
x^(2) +10x = 200
Solving the quadratic equation, we have that
x = 10 feet
i.e. the width is 10 feet.

Find the 50th term of this arithmetic sequence: 5, 13, 21, 29, . . .

Answers

Step 1. The constant for this sequence is 4 since 5-1=4 and 9-5=4. 

Step 2. Using this constant, we have 1+(n-1)*4 as the formula. We can check with n=1 or 1+(1-1)*4=1. With n=2, 1+(2-1)*4=5. With n=3, 1+(3-1)4=9. So it checks out. 

Step 3. With n=50, then 1+(50-1)*4=197. 
Step 4. ANSWER: The 50th term is 197. 

I hope the above steps were helpful. 

A line passing through which of the following pairs of coordinates represents a proportional relationship?(1, 2) and (2, 3)
(1, 3) and (3, 6)
(1, 1) and (1, 3)
(1, 3) and (2, 6)

Answers

the answer is D (1, 3) and (2, 6) 1*6=6  3*2=6

Kelan shaded 0.5 of the rectangle what fraction equals 0.5

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The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10.
the fraction that equals 0.5 is 5/10

What is the value of the expression 16 + 4 • 5 – 6 ÷ 2? A.
15

B.
14

C.
33

D.
22

Answers

c.33 because using the process of pemdas. 4×5 = 20. 16 + 20 - 6 ÷ 2. Then 6÷2 = 3. 16+ 20 - 3 = 33

In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.046, what is the first number in the list? Explain how you know.

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Start with counting back from 0.046 three numbers

0.046, 0.045, 0.044

The answer for the first number that you started at is  0.044