Answer:
5 : 1
Step-by-step explanation:
From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:
15 : 3 = (15/3) : (3/3) = 5 : 1
Answer:
c= 17
Step-by-step explanation:
c² = a² + b²
c= ?
a = 8
b= 15
c² = (8)² + (15)²
c² = 64 + 225
c² = 289
Answer:
y = 4 sin(½ x) − 3
Step-by-step explanation:
The function is either sine or cosine:
y = A sin(2π/T x) + C
y = A cos(2π/T x) + C
where A is the amplitude, T is the period, and C is the midline.
The midline is the average of the min and max:
C = (1 + -7) / 2
C = -3
The amplitude is half the difference between the min and max:
A = (1 − -7) / 2
A = 4
The maximum is at x = π, and the minimum is at x = 3π. The difference, 2π, is half the period. So T = 4π.
Plugging in, the options are:
y = 4 sin(½ x) − 3
y = 4 cos(½ x) − 3
Since the maximum is at x = π, this must be a sine wave.
y = 4 sin(½ x) − 3
First we need to find the slope of the line.
slope = y1-y2/x1-x2 = 4-1/3-(-3) = 3/6 = 1/2
So, the slope is 1/2
Now, we need to find the y-intercept by using the equation y=mx+b
y=mx+b
4=1/2(3)+b
4=3/2+b
-3/2 -3/2
5/2=b
So, the equation is y=1x/2+5/2 which is also C. y-3=1/2(x+1)
HPE THIS HELPS!!!
5x^2 +7x -10
5x^2 (-6x + 13x) - 10
