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Aliun [14]
3 years ago
15

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

y=5x+7

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

The equation of the given line is y=5x+4

The slope of the given line is m=5

so

The slope of the line parallel to the given line is also m=5

step 2

Find the equation of the line parallel to the given line

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

m=5

point\ (-1,2)

substitute

y-2=5(x+1)

step 3

Convert to slope intercept form

Isolate the variable y

y-2=5x+5

y=5x+5+2

y=5x+7

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4 X 10⁴) + (6 x 10²)​
Ksenya-84 [330]

Answer:40,600

Step-by-step explanation:

10x10x10x10=10,000

10x10=100

4x10,000+6x100

40,000+600=

40,600

4 0
3 years ago
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The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the ma
aliya0001 [1]

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

<em><u>Therefore it is $84</u></em>

<em><u /></em>

<em>Hope you understand!</em>

3 0
2 years ago
Calcuate the distance Tom rides his bike if he rides 5\6 mile of each 5 days
defon

The multi-stage fitness test (MSFT), also known as the beep test, bleep test, PACER (Progressive Aerobic Cardiovascular Endurance Run), Pime, they are cautioned. A second caution ends the test for that runner. The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level.Shuttles format (e.g. 9.5).

8 0
3 years ago
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A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
marshall27 [118]

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

4 0
2 years ago
I need help with #66 and #68
NeX [460]

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

4 0
2 years ago
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