Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:
I'm going to solve 
for x using the quadratic formula:
Let's see if uv=u+v holds.
Keep in mind you are multiplying conjugates:
Let's see what u+v is now:
We have confirmed uv=u+v for k=2.
Answer:
C, (x = 100, y = 10)
Step-by-step explanation:
hi again,
(2x - 70) = (x + 30), by the Alternate Exterior Angles
x - 70 = 30
<em>x = 100</em>
<em />
(2x - 70) + 5y = 180, by the Linear Pair Theorem
2(100) - 70 + 5y = 180
200 - 70 + 5y = 180
130 + 5y = 180
5y = 50
<em>y = 10</em>
This is the Pythagorean theorem where the 2 legs of a triangle squared add up to equal the squared hypotenuse (a^2 + b^2 = c^2)
The equation would be
12^2 + 5^2 = x^2
144 + 25 = 169
The square root of 169 = 13
Answer - 13 ft
Answer:
If I remember correctly, right angles are 90 degree angles. So the answers would be A. B. and C.
Step-by-step explanation:
If you see the little box on the angle, that means it's a 90 degree (right) angle.
