Answer:
D
Step-by-step explanation:
Given the 2 equations
y = x - 5 → (1)
y = x² - 5x + 3 → (2)
Substitute y = x² - 5x + 3 into (1)
x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides
x² - 6x + 8 = 0 ← in standard form
(x - 2)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 4 = 0 ⇒ x = 4
Substitute each of these values into (1) for corresponding values of y
x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )
x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )
C because he makes 1 1/2 liter and finishes it, which makes 0. A would be 1.50, b would be 2, and d -4
7s + 20 = 4s -13
7s - 4s = -13 -20
3s = -33
s = -33/3
s = -11
Answer:
KL =
= 17.93
MK =
= 25.36
Explanation:
According to the Law of Sines:

where:
A, B, and C are angles
a, b, and c are the sides opposite to the angles
First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore
m∠K + m∠L + m∠M = 180°
m∠L = 180° - m∠K - m∠M
m∠L = 180° - 105° - 30°
m∠L = 45°
Now, we can apply the Law of Sines to our case (see picture attached):

Let's solve one side at the time:



MK =
= 25.36
Similarily:



KL =
= 17.93
Answer:12 m
Step-by-step explanation: