Answer:
see below
Step-by-step explanation:
we are given
we want to prove it algebraically
to do so rewrite 30:
let 29 be a thus substitute:
factor the denominator:
Factor out a²:
factor out 1:
group:
reduce fraction:
substitute back:
simplify substraction:
hence Proven
Answer:
61.5
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
There is a Parentheses so we do it first:
6.5 times 4 is 26
We don't have any exponents so it is multiplication next since we don't have any division
26 times 2.25
58.5+5-2
We go from left to right
58.5+5 is 63.5
63.5-2 is 61.5
Thus the answer is 61.5
Hope this helps!
I’m pretty sure it’s the first row. Bc it’s saying if the X intercept is one of those numbers, your F(x) is going to be the other numbers...
Answer:
Correct integral, third graph
Step-by-step explanation:
Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.
Given : ∫ tan²(θ)sec²(θ)dθ
Applying u-substitution : u = tan(θ),
=> ∫ u²du
Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1
Substitute back u = tan(θ) : tan^2+1(θ)/2+1
Simplify : 1/3tan³(θ)
Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.
5 (r - 11) = 2 (r - 4) - 6 Use the Distributive Property on both sides
5r - 55 = 2r - 8 - 6 Combine like terms (-8 and - 6)
5r - 55 = 2r - 14 Subtract 2r from both sides
3r - 55 = -14 Add 55 to both sides
3r = 41 Divide both sides by 3
r = 14