Answer:
-13, -3
15, 2.6
Step-by-step explanation:
x, y are the numbers
x = 5y + 2
x×y = 39
(5y + 2)×y = 39
5y² + 2y - 39 = 0
the solution of a quadratic equation :
y = (-b ± sqrt(b² - 4ac))/2a
a = 5
b = 2
c = -39
y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =
= (-2 ± sqrt(4 + 780))/10 =
= (-2 ± sqrt(784))/10 = (-2 ± 28)/10
y1 = (-2 + 28)/10 = 26/10 = 2.6
y2 = (-2 - 28)/10 = -30/10 = -3
x1 = 5×2.6 + 2 = 13 + 2 = 15
x2 = 5×-3 + 2 = -15 + 2 = -13
Slope of function B is "rising" 3 and going over to the right by 1. Representing the slope as 3/1 = 3.
Slope of function A is already giving. If you multiply the slope of function B by 2, it will equal the slope of Function A
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:
Plug in the values
Multiply both sides by x
Divide both sides by tan 68
x = 9.69662942
x = 9.7 (nearest tenth)
The answers are 2460, 37,000, 3670 and 5000
Step-by-step explanation:
- Step 1: Find the answers for each by multiplying.
24.6 × 100 = 2460 (moved one decimal point)
37 × 1000 = 37,000
0.367 × 10000 = 3670 (moved three decimal points)
0.005 × 1000,000 = 5000 (moved three decimal points)
