Answer:
[2(p + 1)]/q
Step-by-step explanation:
logx 2 = p
logx 7 = q
log7 4x² = log7 (2x)²
= (logx (2x)²)/(logx 7)
= (2 logx 2x)/(logx 7)
= (2 logx 2 + 2 logx x)/(logx 7)
= (2p + 2)/q
= [2(p + 1)]/q
Step-by-step explanation:
=> -3x - 4 = -5y - 8
=> 8 - 4 = 3x - 5y
=> 4 = 3x + (-5)y
=> 1 = (3x/4) + (-5y/4)
=> 1 = x/(4/3) + y/(-4/5)
Compare this with x/a + y/b = 1 where a and b are x & y intercepts.
Here,
x intercept = 4/3
y intercept = -4/5
Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = 
= 
= 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
Answer:
3/2
Step-by-step explanation:
Given y = 2x + 5, let's rewrite the equation in terms of x;
y = 2x + 5 => Bring 5 to the other side
2x = y - 5 => Divide either side by 2
x = (y - 5)/2
If we want to take the inverse, simply swap the variable's positions...
We have y = (x - 5)/2
Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1
f^-1(8) = (8 - 5)/2 = 3/2
Solution: 3/2
Answer:
(-1,5)
(-6,-4)
(4,0)
(2,-4)
Step-by-step explanation:
all of the above have unique x-values that don't already exist in the table
