Answer:
Step-by-step explanation:
Given
Required
The vertex
We have:
First, we express the equation as:
Where
So, we have:
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Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
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Expand
Factorize
Factor out x - 1/2
Compare to:
Hence:
Answer:
104
Step-by-step explanation:
subtract [4-100] Which equals [ =96] then add [+8] which equals=104
Community property of addition because -6 + 6 would equal zero
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y =
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Answer:
AR is 3 using Pythagoras 5^2 - 4^2 = 3^2. sin R is just sin (AC/RC). cos is adjacent over hypoteneus. tan is oppositve over adjacent. and sec is 1/cos, csc is 1/sin, and cot is 1/tan.