All categories

3 years ago

line AB passes through points A(-6,6) and B(12,3) if the equation of the line is written in slope intercept form

1 answer:

7 0

Y=(-1/6)x+5
m=(y2-y1)/(x2-x1)
m=(3-6)/(12-(-6))
m=(-3)/(18)
m=-1/6
y=mx+b
y=(-1/6)x+b
6=(-1/6)(-6)+b
6=1+b
b=5
y=(-1/6)x+5

You might be interested in

If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

Step-by-step explanation:

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?

Sonja [21]

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

7 0

3 years ago

Simplify: (k⁴)(k⁷)(k⁰) a.k⁰ b.k²⁸ c.k¹¹ d.k¹²

attashe74 [19]

Answer:

c.k¹¹

Step-by-step explanation:

Anything raised to the power of 0 is one so k^0=1

k^4k^7

Since they have the same base you can just add them

4+7=11

5 0

2 years ago

Which term completes the product so that it is the difference of squares? (-5x-3)(-5x+ )

lilavasa [31]

Hello,

(-5x-3)(-5x+ 3) = (-5x)² - 3²

7 0

3 years ago

Is 13t an algebraic expression like does it mean 13 Times T or is it just 13 and a number representing t

spin [16.1K]

Answer:

This is an algebraic expression

Step-by-step explanation:

U won't ever use t to mean multiplication u will use a . Or × or a letter next to a number to symbolise mutiplication

6 0

3 years ago