<u><em>Answer:</em></u>
y = -x² + 60x + 256 in²
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
yᵃ × yᵇ = yᵃ⁺ᵇ
<u>Now, for the given problem:</u>
We know that the area of the rectangle is the product of its dimensions (length and width)
<u>This means that:</u>
Area of rectangle = length × width
<u>Now, we are given that:</u>
length of game board = x+4 in
width of game board = -x+64 in
<u>Substitute with the givens in the rule it as follows: </u>
Area of rectangle = length × width
Area of board game = (x+4)(-x+64)
<u>Use the distributive property, compute the product and gather like terms as follows:</u>
Area of board game = (x+4)(-x+64)
Area of board game = x(-x) + x(64) +4(-x) +4(64)
Area of board game = -x² + 64x - 4x + 256
Area of board game = -x² + 60x + 256 in²
Hope this helps :)
First you have to multiply -8 to (-4x-1)
which is, -12x+8
then there is -9x you have to add like terms
-12x-9x+8
-21x+8 is your final answer
.3455 is the correct answer.
First solve for the slope, m using the two points given. It doesn't matter which point you choose as point 1 or 2 as long as you're consistent.
m = (y2 - y1)/(x2 - x1)
point 1: (–6.4, –2.6)
point 2: (5.2, 9)
m = (9 - -2.6)/(5.2 - -6.4)
m = (9 + 2.6)/(5.2 + 6.4)
m = 11.6/11.6
m = 1
put the newly found slope into the linear equation for m
y = (1)x + b
y = x + b
Now solve for the y-intercept, b
by putting one of the given points
9 = 5.2 + b
b = 9 - 5.2
b = 3.8
final equation:
y = x + 3.8
