Answer:
B is the best
Step-by-step explanation:
Answer:
B: 65°
Step-by-step explanation:
Step 1:
AB ║ ED Given
Step 2:
∠E = 65° Given
Step 3:
∠ABC = 65° Alt. Int. ∠'s ( Alternate Interior ∠'s)
Answer:
B: 65°
Hope This Helps :)
Answer:
x = -7/5
Step-by-step explanation:
3( x - 6 ) - 8x = -2 + 5(2x + 1)
3x - 18 - 8x = -2 + 10x + 5
-5x - 18 = 3 + 10x
-5x - 10x = 3 + 18
-15x = 21
x = 
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k