Answer:
7 x 4 = 28
28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28
4 x 5 = 20(area of square in the middle)
5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)
Now lets add the given areas:
28 + 20 + 80 = 128 square is your answer.
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
Answer:
x>5
Step-by-step explanation:
> defines the dotted line while x determines where it is plotted and the side that is shaded
I think the correct answer from the choices listed above is option D. The equation that would satisfy all of the points plotted above would be y=-2x. From the plot, we can see that the y-intercept is equal to zero and by using two points we can calculate the slope to be equal to -2. Giving an equation which is y=-2x.
