Answer:
2
Step-by-step explanation:
on Edge
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
to obtain this form
complete the square
y
=
x
2
+
2
(
4
)
x
+
16
−
16
+
14
⇒
y
=
(
x
+
4
)
2
−
2
←
in vertex form
⇒
vertex
=
(
−
4
,
−
2
)
to obtain the intercepts
∙
let x = 0, in the equation for y-intercept
∙
let y = 0, in the equation for x-intercept
x
=
0
⇒
y
=
0
+
0
+
14
=
14
←
y-intercept
y
=
0
⇒
(
x
+
4
)
2
−
2
=
0
←
add 2 to both sides
⇒
(
x
+
4
)
2
=
2
take the square root of both sides
√
(
x
+
4
)
2
=
±
√
2
←
note plus or minus
⇒
x
+
4
=
±
√
2
←
subtract 4 from both sides
⇒
x
=
−
4
±
√
2
←
exact values
graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}
Answer:
True
Step-by-step explanation:
The formula for the area of a circle is πr² where r is the radius. So if 3 is the radius, plug it into the formula:
π(3²)
Simplify it:
π(9)
This can be rewritten as:
9π
<u />
<u>So, the answer is true</u>
<u />
<em>Hope this helps!</em> :)
Answer:
they are 11 pints vertically apart and 3 points horizontally apart.
Step-by-step explanation:
Answer:
290 centimetres
Step-by-step explanation:
The ratio of the length of the pieces of wood is 6 : 10 : 12.
We have to find the total ratio first:
6 + 10 + 12 = 28
The longer piece of wood has ratio 10.
The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:
10/28 * 812 = 290 centimetres
