<span>Alright, here's your answer.
y-intercept is computed (not found) by assigning x = 0 and computing y: here that is f(0) = Log(2*0 + 1) – 1 = Log(1) – 1 = 0 – 1 = -1
y-intercept is (0, -1)
x-intercept is computed by solving f(x) = 0 for x: here that is
0 = Log(2x + 1) – 1 → 1 = Log(2x + 1)
Assuming the Log cited is base 10, then 10^1 = 10^Log(2x + 1) = 2x + 1
That’s 10 = 2x + 1
Therefore 9 = 2x
x = 9/2 = 4.5
Check this result in the original equation, I did!
Your answer is - x-intercept is (4.5, 0)
I hope I helped! :)
</span>
Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
The two cities are actually 427.5 miles apart.
If you have 60% out of 40 students that is 24 students
