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SIZIF [17.4K]
2 years ago
11

What is the slope of the line through the points, (-4,2) & (5,-1)

Mathematics
1 answer:
Korolek [52]2 years ago
8 0

Answer:

-1/3

Step-by-step explanation:

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}

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The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
djverab [1.8K]

Answer:

y=-7

Step-by-step explanation:

y-3=-2(x+5)

distribute the -2 into the ( )

y -3= -2x -10

cancel to -2x

y- 3 = -2(0) -10

y-3 = -10

  +3   +3

y= -7

Hope this helps!!

8 0
2 years ago
Read 2 more answers
Ivision (Level 1)<br> AM<br> lt when 3x3 + 8x2 + 20x + 25 is divided by 3x + 5?<br> Submit Answer
labwork [276]

Answer: =3x^3+8x&2+  85 /3  x+5

Step-by-step explanation:

3x3+8x2+20x+25 ÷ 3x+5

= 3x^3+8x^2+20x+25/3 x + 5

= (3x3)+(8x2)+(20x+ 25/3 x)+(5)

=3x^3+8x&2+  85 /3  x+5

3 0
3 years ago
Does anyone know how to solve this?
erik [133]

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

8 0
3 years ago
A circular dance stage has a perimeter of 28(3.14) feet. What is the area, in square feet, of this dance stage?
tiny-mole [99]
The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI * <span> <span> <span> 196 </span> </span> </span>
area = <span> <span> <span> 615.7521601036 </span> </span> </span> square feet


4 0
3 years ago
If a contains the point (0, - 1) and has a slope of 2then which of the following points also lles on the line?
PilotLPTM [1.2K]

Answer:

1,1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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