Answer:
y=1.5x+1; x= -0.6
y= -0.25x-6; x= -24
Step-by-step explanation:
y=1.5x+1
0=1.5x+1 (To find x-intercept/xero, substitute y=0)
-1.5x=1
x= -2/3 or x= -0.6
y= -0.25x-6
0= -0.25x-6
0.25x= -6 (Move variables to the left-hand side and change its sign)
x= -24
Answer:
10%
Step-by-step explanation:
Marked price of the shirt = Rs 1000
Sale price = Rs 900
Decease = (1000 - 900) Rs
= Rs 100
% decrease = decrease /marked price x 100%
That’s 100/1000 x 100%
0.1 x 100
10%
Answer:
141.78 m
Step-by-step explanation:
Let d = distance of boat from the base of the lighthouse
Tan 10 = 25/d
d tan 10 = 25
d = 25/tan 10
d = 141.78 m
Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m