Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
and solve for a. Filling in:
which simplifies a bit to
and a bit more to
. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
Well, we know perimeter is just adding all the lengths together.
And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.
So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.
Add them up:
6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.
Improper fractions:
19/3 + 19/3 + 23/2 + 23/2.
Common denominator, (6):
38/6 + 38/6 + 69/6 + 69/6 = 214/6.
Simplify:
214/6 = 35 2/3
Answer:
-28
Step-by-step explanation:
52-24= 28
so the opposite
24-58= -28
4/9 is smaller than 4/8 so the other fractions should be 4/8.____
This is what I did:
I used the fractions 4/8.5 and 4/8.4
Now we need to get rid of the decimal point for each of those fractions.
Find out what number you need to multiply the denominator so it is a whole number, not a decimal.
Take that number and multiply it by both numerator and denominator.
8.5 x 2 = 17
4/8.5 = (4*2)/(8.5*2) = 8/17 (This is your first fraction)
8.4 x 5 = 42
4/8.4 = (4*5)/(8.4*5) = 20/42 (This is your second fraction.
Answer:
Adult plate = 21 , child plate = 11
Step-by-step explanation:
number of adult plate = a , no of child plate = c
$487 = $19a + $8c (equation 1)
32 = a + c (equation 2)
Multiply equation 2 by 8 gets you:
256 = 8a + 8c (equation 3)
Solve equation 1 and equation 3 simultaneously:
487 = 19a + 8c (equation 1) minus
256 = 8a + 8c (equation 3) :
231 = 11a
a = 231/11
a= 21
Substitute a = 21 into equation 2 :
32 = 21 + c
c = 32 - 21
c = 11
So 21 adult plates and 11 child plates were sold.
