Answer:
y= 23/2
Step-by-step explanation:
Answer: The answer is x=0
Step-by-step explanation:
Rewrite the equation as a trinomial.
x
2
+
12
x
+
0
Move 0 to the right-hand side.
x
2
+
12
x
=
0
Divide the coefficient of the x
-term by 2, then square the result. Add the result to both sides.
12
/2
=
6
;6^2
=
36
x
2
+
12
x
+
36
=
36
Factor the perfect square trinomial
x
2
+
12
x
+
36
on the left-hand side.
(
x
+
6
)
2
=
36
Take the square root of both sides and solve for x
.
√
(
x
+
6
)^
2
=
±
√
36
=
x+
6
= ±
6
x
= −
6
+
6
=
0
x
= −
6 −
6
=
−
12
Check
If x
=
0
:
(
0
)
^2
+
12
(
0
)
=
0
0
=
0
If x
=
−
12
:
(
−
12
)
^2
+
12
(
−
12
)
=
0
144
−
144
=
0
0
=
0
Answer:
y = 8x + 6
Step-by-step explanation:
The slope intercept form is: y = mx + c
where m ⇒ slope
c ⇒ y-intercept
(x,y) is a point on the graph the satisfy the equation representing that graph. x is the x-coordinate of a point on the line and y is the y-coordinate of a point on the line.
m = 8
Y-intercept = 6
y = mx + c ⇒ y = 8x + 6
Answer:
Looks like the scale factor is 1/3.
Step-by-step explanation:
<em>(In this dilation, the green image is polygon ABCDE, and the red image is polygon A'B'C'D'E'. The red image is the resulting image after said dilation.)</em>
A scale factor greater than one enlarges an image, and a scale factor between zero and one shrinks an image, so that rules out options 2 (SF = -3) and 3 (SF = 3).
A negative scale factor would end up in an image opposite the center of enlargement, so that eliminates option 4 (SF = -1/3).
So that means that the scale factor is option 1 (SF = 1/3)!
