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Marrrta [24]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Check the picture below.

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Write an equation of a line parallel to line EF below in slope-intercept form that passes through the point (2, 6).
N76 [4]

Answer:

y = -⅔x + ²²/₃  

Step-by-step explanation:

1. Calculate the slope of EF

Assume E is at (-2, 5) and F is at (1, 3).

m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔

2. Calculate the slope of the parallel line

m₂ = m₁ = -⅔

3. Calculate its y-intercept

y = mx + b

6 =-⅔(2) + b

Simplify

6 = -⁴/₃ + b

Add ⁴/₃ to each side

b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃

The y-intercept is at (0,²²/₃).

4. Write the equation for the line

y = -⅔x + ²²/₃

The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).

7 0
4 years ago
I NEED HELP PLEASE, THANKS! :)
lbvjy [14]

Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right

Through substitution, you would receive the following function -

f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.

3 0
3 years ago
Grandma baked 96 cookies and gave them to her grandchildren. one of the grandchildren, cindy, received 5 fewer cookies than she
professor190 [17]
If all the h grandchildren will receive equal amounts of cookies then, the number of cookies that each will receive is,
                                   96/h
Then, Cindy will receive 
                                      96/h - 5 candies
7 0
3 years ago
Read 2 more answers
Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
lara31 [8.8K]

Answer:

oofyios

Step-by-step explanation:

5 0
3 years ago
What are the factors of x^2+4x+3x?<br>​
natulia [17]

Answer:

x(x+7)

Step-by-step explanation:

x^2+4x+3x

Combine like terms

x^2+7x

Factor out an x

x(x+7)

8 0
4 years ago
Read 2 more answers
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