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3 years ago

A sign says the speed limit is 45 miles per hour. Which inequality

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Answer:

It would be the one where the open part is facing the 45 so x<45, but there is going to be a line underneath the < because it is saying that the speed can be 45 or under

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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

PLEASE ANSWER THIS 30 POINTS BRAINLIEST WILL BE GIVEN PICTURE INCLUDED!!

den301095 [7]

The first step is to quickly factor each of the five equations... to do so, find the right factors of the 3rd given number so that they add up in an equal number to the second number... 14 = -7 • -2 and -9 = -7 + -2

a^2 - 9a + 14 = 0
(a - 7) (a - 2)

a - 7 = 0, a = 7
a - 2 = 0, a = 2

{2,7}

a^2 + 9a + 14 = 0
(a + 7) (a + 2)

a + 7 = 0, a = -7
a + 2 = 0, a = -2

{-2, -7}

a^2 + 3a - 10 = 0
(a + 5) (a - 2)

a + 5 = 0, a = -5
a - 2 = 0, a = 2

{-5, 2}

a^2 - 5a - 14 = 0
(a - 7) (a + 2)
a - 7 = 0, a = 7
a + 2 = 0, a = -2

{-2, 7}

5 0

3 years ago

Read 2 more answers

The bases of a cylinder have a diameter of 4 inches. The height of the cylinder is 6 inches. What is the total surface area of t

Nostrana [21]

Answer:

Step-by-step explanation:

area of base = π4² = 16π in²

lateral area = 2πrh = 2π·4·6 = 48π in²

surface area = 2×16π + 48π = 80π in² ≅ 251.3 in²

3 0

2 years ago