Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Answer:
243 then 729
Step-by-step explanation:
each number is being multipled by 3.
Answer:
C. 300
Step-by-step explanation:
EFG and EG is the total distance around the circle
EFG + EG = 360 degrees
EFG + 60 = 360
Subtract 60 from each side
EFG +60-60 = 360-60
EFG = 300
Answer:
4
Step-by-step explanation:
She can make 4. Have an amazing day
Answer:
1/3
Step-by-step explanation:
(1/3)^2x(1/3)^-1
so, we can write this as:
1/3 x 1/3 x 3/1
if calculated by cutting, the answer is 1/3
There is also an easier way to do this,
(1/3)^2 x (1/3)^-1
as the bases are same, the powers will be added.
2+(-1)
2-1
=1
so,
(1/3)^1 or 1/3