I think it is C.Skewed right.
Answer:
(c) (28/3)√6
Step-by-step explanation:
Side ratios of "special triangles" are used to solve this problem.
30-60-90° triangle — 1 : √3 : 2
45-45-90° triangle — 1 : 1 : √2
<h3>Application</h3>
We need to apply these ratios a few times:
CD : CE = √3 : 2 ⇒ CE = (7√3)(2/√3) = 14
CE : BE = 1 : √2 ⇒ BE = 14(√2) = 14√2
BE : AE = √3 : 2 ⇒ AE = (14√2)(2/√3) = (28√2)/√3
The fraction can be simplified by multiplying by (√3)/(√3):
((28√2)/√3)×(√3)/(√3) = (28√6)/3
AE = (28/3)√6
Step-by-step explanation:
when we simplify the original expression, we can combine the y parts and the x parts - remember multiplying with exponents means adding the exponents.
so,
y^-8 × y^3 = y^(-8 + 3) = y^-5
x^0 × x^-2 = x^(0 - 2) = x^-2
therefore, the main expression is actually
y^-5 × x^-2
now also remember, a negative exponent means 1/...
so, this is
1/(y⁵) × 1/(x²) = 1/(y⁵x²)
now, let's have a look at the answer options and compare with our results above :
the first one is wrong.
the second one is correct.
the third one is correct.
the fourth, fifth and sixth ones are wrong.
Answer:
Step-by-step explanation:
14,110