Answer:
-11.
Step-by-step explanation:
f(x) = √(3 - 2x), x ≤ 3/2
let y = √(3 - 2x)
y^2 = 3 - 2x
2x = 3 - y^2
x = (3 - y^2)/2
So f-1(x) = (3 - x^2)/2
f-1(x) = (3 - 5^2) / 2 = -11.
Answer:
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
x ∝ p
x = kp -------(1)
<em><u>Where k is the constant of proportionality.</u></em>
Now, x = 2 when p = 4
<em>Putting in the above formula</em>
2 = k(4)
<em>Dividing both sides by 4</em>
k = 
=> k = 
Putting k in (1)
x =
<em>Now this is the required equation connecting both.</em>
Answer:
Angle 3 is 49 degrees
=============================
Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)
