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Nataly [62]
3 years ago
15

The graphs below have the same shape. What is the equation of the bluegraph?​

Mathematics
2 answers:
valentinak56 [21]3 years ago
5 0

Answer:

B

Step-by-step explanation:

faltersainse [42]3 years ago
4 0
The equation of the blue graph is A.
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60+x=3x-70
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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

y=-\frac{3}{4}x+4

or

3x+4y=16

8 0
3 years ago
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Answer:

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3 years ago
What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?
Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2

Thus, the slope is:m_ {1} = \frac {1} {3}

Then m_ {2} = \frac {1} {3}

So, the line is of the form:

y = \frac {1} {3} x + b

We substitute the point(x, y) :( 3,5)and find b:

5 = \frac {1} {3} (3) + b\\5 = b

Thus, the equation is:

y = \frac {1} {3} x + 5

Answer:

y = \frac {1} {3} x + 5

5 0
3 years ago
Sequences:
IrinaK [193]

Answer:

A.

  • aₙ = (2n + 3)/4

<u>The first 5 terms:</u>

  • a₁ = (2*1 + 3) / 4 = 5/4
  • a₂ = (2*2 + 3) / 4 = 7/4
  • a₃ = (2*3 + 3)/ 4 = 9/4
  • a₄ = (2*4 + 3) / 4 = 11/4
  • a₅ = (2*5 + 3) / 4 = 13/4

B.

  • aₙ = (n - 3)/(n - 2)

<u>The first 5 terms:</u>

  • a₁ = (1 - 3) / (1 - 2) = 2
  • a₂ = (2 - 3) / (2 - 2) = undefined
  • a₃ = (3 - 3)/ (3 - 2) = 0
  • a₄ = (4 - 3) / (4 - 2) = 1 / 2
  • a₅ = (5 - 3) / (5 - 2) = 2 / 3
7 0
3 years ago
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