Answer:
-4,-4
Step-by-step explanation:
let the numbers be x and y.
x+y=-8
y=-x-8
xy=16
x(-x-8)=16
-x²-8x=16
x²+8x+16=0
x²+4x+4x+16=0
x(x+4)+4(x+4)=0
(x+4)(x+4)=0
x=-4,-4
Answer:
1200(-48+10)
Step-by-step explanation:
Answer:
step 1: 4x=2
step 2: x=1/2
Step-by-step explanation:
Answer: pretty sure lily is right
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
We need to use the trig identity that cos(2A) = cos²A - sin²A, where A is an angle. In this case, A is ∠ABC. Essentially, we want to find cos∠ABC and sin∠ABC to solve this problem.
Cosine is adjacent ÷ hypotenuse. Here, the adjacent side of ∠ABC is side BC, which is 4 units. The hypotenuse is 2√5. So, cos∠ABC = 4/2√5 = 2/√5.
Sine is opposite ÷ hypotenuse. Here, the opposite side of ∠ABC is side AC, which is 2 units. The hypotenuse is still 2√5. So sin∠ABC = 2/2√5 = 1/√5.
Now, cos²∠ABC = (cos∠ABC)² = (2/√5)² = 4/5.
sin²∠ABC = (sin∠ABC)² = (1/√5)² = 1/5
Then cos(2∠ABC) = 4/5 - 1/5 = 3/5.
