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34kurt
3 years ago
7

Slope=0, y-intercept=3​

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

y=3x

Step-by-step explanation:

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PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1
marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

,

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}

Comparing the given line with the form above:

y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}

The y-intercept of L is at (0,5), therefore:

y-intercept,b=5

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}

The equation of line L is:

y=-3x+5

7 0
1 year ago
the number of cars at a dealership dropped from 64 to 48 after a weekend sale.what is the percent of decrease in the number. of
Karo-lina-s [1.5K]

Answer: This is a quite simple problem. 64 to 48. This would mean

64 - 25%

Knowing this percentage it will equal 48

<em>Answer : 25%</em>

Hope this helped!


Step-by-step explanation:


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3 years ago
If Ac= 23 cm, find the length of ec
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Answer:

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Step-by-step explanation:

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