The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
Multiply out as indicated: <span>9(r - s) + 5(2r - 2s) = 9r - 9s + 10r - 10s. Next, combine like terms, obtaining 19r -19s (answer)</span>
Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
= 
, substitute values
= 
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b = 
≈ 9.5 ( to the nearest tenth )
Also
= 
= 
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c = 
≈ 14.7 ( to the nearest tenth )
Let
x---------> Steve's time
y--------> Paul's time
we know that
------> Steve is faster than Paul
Divide x by y
therefore
<u>the answer is the option</u>
A. Steve is 5⁄6 as fast as Paul
Hello:
x²+3x-2 = 0
delta = b²-4ac a=1 b = 3 c = -2
delta =(3)²-4(1)(-2) =17 =(<span>√17)²
</span><span>x = −3±√17/2</span>
