In order to solve this problem, we transform the statements into
algebraic expressions. First, we assign the variables.
Let:
x = Gina’s number
y = Sara’s number
For the first equation, we show that Gina’s number is greater
than Sara’s number by 2. For the second equation, we show that the sum of both
numbers is 68.
<span>(1)
</span>x – y = 2
<span>(2)
</span>x + y = 68
<span>We
add the two expressions, which result in the expression: 2x = 70. Then we
divide 70 by 2 to get the value of x. We then have x = 35. Using the second
equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s
number is 35 while Sara’s number is 33.</span>
Y=-3x+8
when x=-2:
y=-3(-2)+8
y=6+8
y=14
when x=0
y=-3(0)+8
y=0+8
y=8
when x=2
y=-3(2)+8
y=-6+8
y=2
Answer:
50.24 (unit squared! cm2, m2, etc.)
Step-by-step explanation:
Area is: Pi x r^2
3.14 x 4^2 = 3.14 x 16 = 50.24
PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)
