Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
x = 11.75
y = 11.5
Step-by-step explanation:
By Elimination Method:
7x - 3y = 48 ---- (1)
-
<u> 2x + y = 35 ----</u>- (2)
Multiply equation (1) by 2 and equation (2) by 7
14x - 6y = 96
-
<u> 14x + 7y = 245 </u>
<u> 0 -13y = -149</u>
-13y = -149
y = -149/-13
y = 11.5
From equation (2); replace y with 12
2x + y = 35
2x + 11.5 = 35
2x = 35 - 11.5
2x = 23.5
x = 11.75
They are selling the wrapping paper for $5 each and selling the foil wrapping for $7 dollars each.
39=5(5)+2(7)
57=3(5)+6(7)
I can’t see it, make it clearer please
Answer:
b = 5
Step-by-step explanation:
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(1, 3) and (x₂, y₂ ) = D(4, - 3)
m = 
= 
= - 2, hence
y = - 2x + b ← is the partial equation of the line
To find b substitute either of the 2 points into the partial equation
Using (1, 3), then
3 = - 2 + b ⇒ b = 3 + 2 = 5
