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dalvyx [7]
3 years ago
11

What is the slope of the line that is perpendicular to a line whose equation 3y=-4x+2?

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.

To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).

    3y = -4x + 2
    y = -4/3x + 2/3

The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.

Answer:
3/4 (the first option)
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The sum of two vectors is (- 0.5, 10.1)

<u>Explanation: </u>

To add two vectors, add the corresponding components.

Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.

Then, the sum of u and v is the vector

u +v =⟨u1+v1, u2+v2⟩

(b)

Two vectors = ( 3, 4 )

angle 2π/3 = 120°

In x axis, the vector is = 7 cos 120°

                           = 7 X -\frac{1}{2} \\\\= -3.5

In y axis, the vector is = 7 sin 120°

                                  = 7 X 0.866

                                  = 6.062

The second vectors are ( -3.5, 6.062)

Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]

                              = (- 0.5, 10.1)

6 0
3 years ago
Solve 7.8+3.5w-1.5 for w = 6.8 using PEMDAS
VikaD [51]
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3.) Simplify the expression.
Bogdan [553]

Answer:

Option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

Step-by-step explanation:

Given expression is cos(u+\pi)

To find the value of the given expression :

By using the formula cos(A+B)=cosAcosB-sinAsinB

Substitute A=u and B=\pi in the above formula we get

cos(u+\pi)=cosucos\pi-sinusin\pi

=cosu(-1)-sinu(0)  ( here cos\pi=-1 and sin\pi=0 )

=-cosu-0

=-cosu

cos(u+\pi)=-cosu

Therefore option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

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3 years ago
What is five hundred eighty three divided by twenty four
julsineya [31]
583 divided by 24 = 24
8 0
3 years ago
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