Answer:
Step-by-step explanation:
Since we are finding a parallel line, the slopes will be the same, so the second equation will also have a slope of -5.
Then, to find the y-intercept, we can use the point given and plug in.
So the equation comes out to be
We can check by plugging in the given point again.
Answer:
(2√2, −2√2)
Step-by-step explanation:
Took the test
Answer:
5 + 
Step-by-step explanation:
Given a ± 
, then the conjugate is
a ∓
Given
5 - , then the conjugate is 5 +
No, you can only use the Pythagorean theorem on right triangles.
The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.
This means
sin(30º) = SL/(2*SL) = 1/2
tan(30º) = SL/(√3*SL) = 1/√3
(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)
So in this triangle, x and y satisfy
sin(30º) = 4/x
tan(30º) = 4/y
This comes straight from the definitions of sine and tangent. Then
4/x = 1/2 ==> x = 8
4/y = 1/√3 ==> y = 4√3
