The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
=
+ 
100 = 36 + 
= 100 - 36
= 64
AC = 
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
=
+ 
= 784 + 441
= 1225
CE = 
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.
Answer:
C) Apply the distributive property
Answer: Yes
Step-by-step explanation: We're going to have to substitute
in the coordinates of that ordered pair into the equation.
I am going to substitute in the x and substitute in the y.
So it's really 5(2) + 3(-3) = 1.
From here it should be pretty straightforward,
all we are doing is evaluating the statement.
Simplifying on the left we have 10 + -9 = 1 or 1 = 1.
Now we know that the ordered pair (2, -3) satisfies this equation.
Make an equation
6p + p = 28
Combine like terms
7p = 28
Divide
p = 4
Solution: p = 4