Answer:
f⁻¹(x) = eˣ / 3
Step-by-step explanation:
f(x) = In(3x)
y = In(3x)
swap x and y: x = In(3y)
solve y: eˣ = 3y
y = eˣ / 3
f⁻¹(x) = eˣ / 3
Answer:
94°
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:
180 = (29 + 65 + m∠2)
= 180 - 94 = m∠2
= m∠2 = 86°
Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:
180 - 86 = 94°
m∠1 = 94°.
The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:
m∠1 = 29 + 65
m∠1 = 94°.
~
Answer:
39°
sum of triangle's interior angles: 180°
180°-90°-51°=39°
Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
X4-x2≥ 2x~~~2x≥ 2x True
Because " _ " is the same thing with "=" ; and because 2x=2x then 2x≥ 2x ~~~~~~Have a nice day!!! ★★
