Answer:
The point slope is (0,1)
Step-by-step explanation:
50(2) -2(20) +6 = ?
100 - 40 + 6 = ?
60 + 6 = ?
66
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2
function y = x
slope of 1
y intercept at 0
x intercept at 0
Answer:
Step-by-step explanation:
Before comparison can take place, these three measurements must be expressed in the same unit of measurement:
130 inches becomes 130/12 feet, or 10.83 ft;
4 yards becomes 4*3 feet, or 12 feet; qne
10 feet stays as is.
It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.
Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
