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Alex17521 [72]
3 years ago
13

The slope of a line perpendicular to the line whose equation is y = 3x - 4 is

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

m = -1/3

Step-by-step explanation:

y = 3x-4

This is in slope intercept form

y = mx+b  m is the slope and b is the y intercept

The slope is 3 and the y intercept is -4

We want the slope of a line that is perpendicular

Perpendicular lines have slopes that multiply to -1

Let m be the slope of the line that is perpendicular

3 * m = -1

Divide each side by 3

3m/3 = -1/3

m = -1/3

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The wall in the family room is exactly 12feet long. Your couch is ten feet and 6 inches long. Once the couch is placed, how much
Elina [12.6K]

Answer:

1 foot and 6 inches

Step-by-step explanation:

12 feet (144 inches) - 10 feet and 6 inches (126 inches) = 1 foot and 6 inches (18 inches)

7 0
3 years ago
Cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees
yawa3891 [41]

Step-by-step explanation:

\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180

But we know that

\cos 90 = \cos 270 = \sin 180 = 0

and

\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}

so this leaves us with just

\sec^2 45 \sin 30 = (\sqrt{2})^2  \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}

6 0
3 years ago
Find two consecutive integers such that four times the larger exceeds three times the smaller by 23
Bad White [126]
CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE  the consecutive numbers are 19&20
3 0
3 years ago
I need the answer. Please help.
serious [3.7K]
<h3>Answer:  1.8</h3>

===========================================================

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

8 0
3 years ago
Simplify the expression:<br> – 10x + – 4 – 8 + 7x
Ivan

Answer:

-3x-12

Step-by-step explanation:

-10x-4-8+7x

-3x-4-8

-3x-12

5 0
3 years ago
Read 2 more answers
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