Find the last angle:
180-(30+90)
180-(120)
60
Evaluate using sine rule:
![\frac{c}{sinC}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7BsinC%7D%20)
=
![\frac{b}{sinB}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%7D%7BsinB%7D%20)
c=
![\frac{bsinC}{sinB}](https://tex.z-dn.net/?f=%20%5Cfrac%7BbsinC%7D%7BsinB%7D%20)
=
![\frac{10sin90°}{sin30°}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10sin90%C2%B0%7D%7Bsin30%C2%B0%7D%20)
=20
The length of line segment AB is 20 feet (answer choice C)
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
Answer: y=2x
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Answer:
(3, 1)
Step-by-step explanation:
y = −x + 4
y = x − 2
-x + 4 = x - 2
4 = 2x - 2
6 = 2x
3 = x
y = (3) − 2
y = 1