The diagonals of a trapezoid are equal sometimes,
and they're unequal sometimes.
The diagonals are equal only in an "Isosceles trapezoid" . . .
where the non-parallel sides have equal lengths.
Alright, so we know that the race is 5 kilometers, so the equation will be 5-<some value>= <distance from finish line>. We also know that the student runs a kilometer every three minutes, so 3x=1km . Multiplying both sides by 5, we get 15y=5km (y being the number to make the equation make sense, or the slope). When the student has run 5km, the distance from the student to the finish line should be 0, so we get that 5-5=0, and plugging 15y in for 5 we get 5-15y=0. For 15x to equal 5, 3y=1 and y=1/3. Therefore, we plug that in for y, getting 5-15(1/3)=0. However, we have to make it for all times! Since 15 represents the minutes, we make that x, and since 0 represents the distance remaining, we make that the distance remaining, making it 5-(1/3)x=distance left. You can also think of y as the slope in y=mx+b - it stays constant that way.
Hello again!
It looks like you need a lot of help today. I'm glad I am able to help you!
h(x) = x³ - 2x² - 3x
The question you need to ask yourself is "How do you find the zeros of a function.
Answer: To find the zeros of a function, just set the function equal to zero then solve for x
x³ - 2x² - 3x = 0
Factor the left sides
x(x + 1)(x - 3) = 0
Now we can set factors equal to 0
x = 0 or x + 1 = 0 or x - 3 = 0
x = 0 or x = 0 - 1 or x = 0 + 3
x = 0 or x = -1 or x = 3
Thus,
The zeros of the function are: x = 0 or x = -1 or x = 3
As always, I am glad to help students like you!
Just write all of that but instead of in the box between each statement and reason write if then