You need the distance formula to figure this out. The coordinates for point D are (-5, 1), the coordinates for point E are (-2, 3), and the coordinates for point F are (-3, -2). For the distance or length of DE, the formula looks like this:
which simplifies a bit down to
which is
which of course is
so DE = 25. Moving on to EF:
which simplifies to
which is to say that
. We do the same for FD:
which simplifies a bit to
which is to say that the length of FD is
. None of the lengths of the sides are the same, so this is a scalene triangle. Last choice given above.
Answer:
7 boys
29 children dont own pets
there are 21 children all together
29/50
7/21
Answer:
6
Step-by-step explanation:
(-4+2) (4- -4)
-Add your invisible 1
1(-4+2)1(4- -4)
-This removes the parentheses.
-Combine the 2 negative signs in the second set of parentheses.(Its now a positive or plus sign.)
-4+2+4+4
Combine like terms.
rewrite the equation set = to 0.
x^2 + 5x - 8 = 0
The quadratic will not factor so you have to use the quadratic formula.
x = (-b + - sqrt(b^2 - 4ac))/2a
x = (5 + - sqrt(25 - 4* 1* -8))/2
x = (5 + - sqrt 57)/2
The x2is not the same as 2x. It is x^2. X tot he second power which makes the problem a quadratic equation. You cannot combine the terms x^2 and -5x because they so not have the same power.
<span>The
domain represents the A. horizontal distance covered by the flying disc. We see that x goes from x = 0 to x = 30, which the problem gives as the horizontal distance.
The range of this
function is B. 0, A. 7. The range is defined by the minimum y-value (y = 0, at x = 30), and the maximum y-value (y = 7, at x = 12).
For this function, the
range represents the flying disc's A. possible heights. This is the height as mentioned in the given, as it is the height of the disc being modelled on the graph as the disc travels horizontally.</span>