Answer:
C. 8
Step-by-step explanation:
I almost thought this was going to be Pythagorean Theorem, but no.
Use Cosine Law:
cos θ =
θ = cos−1(0.6)
θ = 53.130...
Now use the SOHCAHTOA ratio for sine () to find x now that you have one angle:
sin θ =
x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)
x = 8
Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = ≈ 12.6 ( to the nearest tenth )
Answer:
-2
Step-by-step explanation:
Answer:
you need to simplify them like 2n+6 simplifird if 2.(n+3)
Step-by-step explanation: