Answer:
Let's solve for f.
x=5+4(x−4)f(7)
Step 1: Flip the equation.
28fx−112f+5=x
Step 2: Add -5 to both sides.
28fx−112f+5+−5=x+−5
28fx−112f=x−5
Step 3: Factor out variable f.
f(28x−112)=x−5
Step 4: Divide both sides by 28x-112.
f(28x−112)28x−112=x−528x−112
f=x−528x−112
Answer:
f=x−528x−112
the va's are where x is undefined, or where the denomenator is zero
first simplify if applicable
cannot simplify
set denom to zero
2x-5=0
2x=5
x=2.5
the vertical assemtote is vertical so it is x=2.5 or 5/2
the VA is x=5/2
So,
We'll just use A to represent both Jan and Mya's miles, since they ran the same number.
We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8
We'll just use A to represent both J and M.
S = M - 8
We'll use Elimination by Substitution.
2A + A - 8 = 64
Collect Like Terms
3A - 8 = 64
Add 8 to both sides
3A = 72
Divide both sides by 3
A = 24
Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24
Substitute
S = 24 - 8
S = 16
Check
24 + 24 + 16 = 64
64 = 64 This checks.
So,
J = 24
M = 24
S = 16
∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
