Answer:
(-2, -4)
Step-by-step explanation:
–2x + 2y = -4
3х + Зу = -18
Divide the first equation by 2
–2x/2 + 2y/2 = -4/2
-x +y = -2
Divide the second equation by 3
3х/3 + Зу/3 = -18/3
x + y = -6
Add these equation together
-x +y = -2
x + y = -6
-------------------
0x + 2y = -8
2y = -8
Divide each side by 2
2y/2 = -8/2
y = -4
Now we need x
x+y = -6
x-4 = -6
Add 4 to each side
x-4+4 = -6+4
x = -2
this would be 94 hope it helps
Step-by-step explanation:
the correct answer is
discount price=(original price)(1-0.12)
let's suppose the original price is $10 then the discounted price will be
(10)(1-0.12)=10(.88)=$8.8
The area of the shaded region is 15.453 square units.
Step-by-step explanation:
Step 1:
The given shape consists of a rectangle and two circles.
The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.
The diameter of the circle is equal to the width of the rectangle.
So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.
Step 2:
The area of the rectangle 
square cm.
The area of each circle 
square cm.
The area of both circles 
square cm.
The area of the shaded region is the difference between the area of the rectangle and the area of both circles.
The area of the shaded region 
square units.
The area of the shaded region is 15.453 square units.
Answer:
Vertex is (-1, -9)
Step-by-step explanation:
To find the x-value of the vertex, we use the formula
x
=
−
b
2
a
(This is considered the axis of symmetry).
a
=
1
and
b
=
2
with
c
=
−
8
(These are the numbers in order)
By substituting we get
x
=
−
(
2
)
2
⋅
1
, which simplifies to
x
=
−
1
.
Once you find x, substitute back into the equation to find y.
y
=
(
−
1
)
2
+
2
(
−
1
)
−
8
y
=
1
−
2
−
8
y
=
−
9
Putting the two numbers together you get the coordinates
(
−
1
,
−
9
)
.
