Answer:
Step-by-step explanation:
Divide the figure into a rectangle and a triangle.
area of rectangle = 5×10 = 50 square units
area of triangle = 0.5×5×10 = 25 square units
total area = 50+25 = 75 square units
Since A is (-7,-4) and C is (7,3) for the x value from a to c is 14 for the y value from a to c is 7
Do 14 x 2/7 which is 4
Do 7 x 2/7 which is 2
then add (-7+4,-4+2) which is (-3,-2)
8 is 91 because 13•7 is 91 inside is needed 91 tiles
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer and Step-by-step explanation:
To solve, we would set the first number to x, and make an equation.
<u>Solve for x.</u>
x + (x - 6) + 3x = 69.
<u>Add and combine like terms.</u>
2x + 3x - 6 = 69
5x - 6 = 69
<u>Add 6 to each side of the equation.</u>
5x = 75
Divide by 5 to both sides.
x = 15
<u>The first number is 15.</u>
<u>The second number is (x - 6) = (15 - 6) = 9.</u>
<u>The third number is 3x = 3(15) = 45.</u>
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