Answer:
x = 12
Step-by-step explanation:
Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so
= 
, substitute values
= 
( cross- multiply )
55(12x - 3) = 6435 ( divide both sides by 55 )
12x - 3 = 117 ( add 3 to both sides )
12x = 120 ( divide both sides by 12 )
x = 10
Answer:
eight thousand four hundred nine and eight hundredths
Step-by-step explanation:
Answer:
-125
Step-by-step explanation:
add 50 and 75 =125 make in negative
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
The greatest common factor is the biggest number taken from the values.
Q1. The answer is <span>A. 5y^6
</span>
Since
, then
Back to our expression:
The greatest common factor is thus
Q2. The answer is <span>D. 12xy^2
</span>
We will use the rule
to factorise the exponents:
The greatest common factor is thus
