I did the math on calculator and got A.
Hope I could help (:
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
Answer:
b. 65
a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2
Step-by-step explanation:
A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2
B. We will simply substitute the value of 2 for x
f(x) = 6(8-x) + 5
f(-2) = 6(8 - (-2)) + 5
f(-2) = 6(8 + 2) + 5
f(-2) = 6(10) + 5 = 60 + 5 = 65
Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.
Step-by-step explanation:
1). 2x + 3y = 33
2). 5x + 2y = 55
3). I’m going to use substitution.
Isolate a variable (x):
2x + 3y = 33
2x = -3y + 33
X = (-3y + 33)/2
X = -3/2y + 33/2
Substitute and solve for y:
5x + 2y = 55
5(-3/2y + 33/2) + 2y = 55
-15/2y + 165/2 + 2y = 55
-11/2y = -55/2
Y = 5 <— children’s ticket.
Solve for x:
2x + 3y = 33
2x + 3(5) = 33
2x + 15 = 33
2x = 18
X = 9 <— adult’s ticket.
Check:
5x + 2y = 55
5(9) + 2(5) = 55
45 + 10 = 55
55 = 55
2x + 3y = 33
2(9) + 3(5) = 33
18 + 15 = 33
33 = 33
