Answer: y=-9/8x+7
Step-by-step explanation:
You could answer this question easily by applying synthetic division:
_______________
-5 / 4 14 -9
-20 30
---------------------------
4 -6 21
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
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°.
Answer:
Step-by-step explanation:
d(t)=-2t^2+9t+18
calculate the derivate : f'(t) = - 4t+9
f'(t) = 0 : - 4t+9= 0 so t = 9/4
the maximum value is f(9/4) = ....... continue
