11. What values of a, b, and c make this equation true?
1 answer:
9514 1404 393
Answer:
A, a = 4, b = -3, c = 3
Step-by-step explanation:
Expanding the left side gives ...
2x^2 -x -10 +ax^2 +bx +c
= (2 +a)x^2 +(b -1)x +(c -10)
Equating coefficients with terms on the right side gives ...
x^2: (2 +a) = 6 ⇒ a = 4 . . . . . . eliminates choice C
x: (b -1) = -4 ⇒ b = -3 . . . . . . . . eliminates choices B, D
constant: c -10 = -7 ⇒ c = 3 . . . confirms choice A
You might be interested in
Answer:
6.31 mi
Step-by-step explanation:
The diagram below explains the solution better.
From the diagram,
C = starting point of the race.
A = end of the first part of the race.
B = end of the race.
Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.
Cosine rule states that:
where A = angle A = <A
Given that
b = 5.2 miles
c = 2.0 miles
<A = 115° (from the diagram)
Hence,
The straight-line distance between the starting point and the end of the race is 6.31 mi
Answer:
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
and also: