When adding fractions, you want the denominators to be the same number, so you have to multiply 31/2 by four for the numerator and denominator by 4 to have the denominators to both be 8. So the fraction on the left will be 124/8 + 1/8 =129/8. That fraction is in its simplest form.
Answer:
25.6
Explanation:
t = 2 seconds
h = 8 + 40.8(2) - 16(2)^2
Solve for h by simplifying both sides of the equation, then isolating the variable.
h = 25.6
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
The equation y = –2 x + 3 represents the graphed function.
Answer: Option A
<u>Step-by-step explanation:</u>
As per the mapping points in the attached figure, A (0, 3) and B (1, 1)
Step 1: Find the slope of the line.
We know that the formula to calculate the slope between two points is equal to

. So, the slope ‘m’ would be

Step 2: Find the y-intercept
We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)
Step 3: Find the equation of the line into slope-intercept form
We know that the equation of the line into slope-intercept form is equal to
y = m x + b
We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get
y = - 2 x + 3