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aleksandr82 [10.1K]
2 years ago
13

Write an equation of a line with the given slope and y-intercept. m = , b = 2

Mathematics
1 answer:
Vlad [161]2 years ago
3 0

Answer:

<u>Equation</u><u> </u><u>is</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>2</u>

Step-by-step explanation:

General equation of line:

{ \boxed{ \bf{y = mx + b}}}

Substitute in considerance of the question:

{ \sf{ y = mx + 2}}

If m is given, substitute for m to the answer.

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Is 3 a factor of 73? ( Yes ) or ( No )
Mkey [24]

Answer:

The correct answer is no.

Step-by-step explanation:

If a number is a factor of another number, that means that it can be equally divided into it <em>evenly</em>.

I know that 3 x 20 = 60, and 73 - 60 = 13.

Since 3 is <em>not</em> a factor of 13, it is also <em>not</em> a factor of 73.

Hope this helps! :D

6 0
2 years ago
A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
2 years ago
Pasagot po pleaseeeee.....​
charle [14.2K]

Answer:

not visible....

Step-by-step explanation:

sssssss

8 0
3 years ago
What is the value of (fog) (-5)
DochEvi [55]

f(x)=2x+1,\ g(x)=x^2\\\\(f\circ g)(x)=2(x^2)+1=2x^2+1\\\\(f\circ g)(-5)=2(-5)^2+1=2(25)+1=50+1=51

6 0
3 years ago
The temperature has been going down at a constant rate. In 55 hours it went down 1515 degrees. Which expression best shows the t
Ronch [10]

Answer:

b)-15 ÷ 5

It's the only one that ends up with a negative answer, which makes sense because the temperature decreases

8 0
2 years ago
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