X-intercept appears at when y = 0
So when cos(0.5x) = 0 -> 0.5x = pi/2 + n*pi, where n is any random integers
So x = pi + 2npi, so the angle can be pi, 3pi, 5pi, so on
Shipment = 72 cases of books + 94 cases of magazines
1 case of books = 35 pounds
1 case of magazines = 23 pounds
Shipment = 72 × 35 + 94 × 23 pounds
72 × 35 = 2520
94 × 23 = 2162
Shipment = 2520 + 2162 pounds
Shipment = 4682 pounds
Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
Answer:
The sides are
6
inches,
8
inches and
10
inches
Explanation:
I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
In this case the question can be answered. If
x
is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4
x+3/4x+3/4x+4=24
10/4x=20
x=8
Then the shortest side is 6and the longest side is 10
Step-by-step explanation:
kg = 5kg 425g