Answer:
(-3/2 or 1.5, 3/2 or 1.5)
x = -3/2 or -1.5
y = 3/2 or 1.5
Step-by-step explanation:
the midpoint formula is x1+x2/2 and then y1+y2/2 so -4 +1 = -3/2 for x. for y, 9 + -6 = 3/2. so the midpoint would be (-3/2 or 1.5, 3/2 or 1.5) depending on if you’re using decimals or fractions
Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
(eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
(eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
(eq3)
(eq4)
If we add (eq1) and (eq2), we have:
(eq5)
Using (eq3) and (eq4) in (eq5), we have:
From (eq1), we have:
From (eq3), we have:
The answer is 27. if you take the clues given in the question, the equation for the length will be ‘2w+5’. add all of the w’s for width around and the constants and your equation will the become 6w+10=76. after you find the width, plug it into ‘2w+5’ and you will get your length.
Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of w.r.t is
And setting this = 0 gives
Eliminating on both sides and solving for gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct