Answer:
BD = 28
AC = 24
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
4x − 2 = 3y − 1
3x = 3y − 3
Using elimination to solve the system of equations, subtract the second equation from the first.
(4x − 2) − 3x = (3y − 1) − (3y − 3)
4x − 2 − 3x = 3y − 1 − 3y + 3
x − 2 = 2
x = 4
Substitute into either equation to find y.
3(4) = 3y − 3
12 = 3y − 3
15 = 3y
y = 5
The length of BD is:
4(4) − 2 + 3(5) − 1 = 28
The length of AC is:
3(4) + 3(5) − 3 = 24
Answer:
a) 54 m is your answer
Step-by-step explanation:
Given: s = 9
The formula given is:
P (Perimeter) = 6s
Plug in 9 for s
P = 6(9)
Multiply.
P = 6(9)
P = 54
a) 54 m is your answer
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Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5
5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g
The mass of the yoghurt is 111g
Yes. (7, -9) is a solution for x - y > 10
7 - (-9) > 10
7 + 9 > 10
16 >10 (True)
hope this helps
Answer:
Step-by-step explanation:
An exponential equation has the form
y=ar^x where y=final value, a=initial value, r=rate, and x=time, in this case
y=28000(0.73^x)
So the initial value is 28000 and r=0.73. Since 0.73 is less than one this is an exponential decay representing a 27% loss per year. So B and F are correct.
