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:
16, 1/16
Step-by-step explanation:
Hope it helps you in your learning process.
You can again ignore the parenthesis because you are not distributing anything.
Your equation will look like this
3x + 11 + 6x
You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.
B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis.
Always remember, when you are adding things together, the parenthesis don't matter!
Answer:
160 m
Step-by-step explanation:
For the 15-deg angle, h is the opposite leg.
The hypotenuse is 628 m.
The trigonometry ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
Rounded to 2 significant figures:
h = 160 m
Answer:
555
Step-by-step explanation:
355 + 2 hundreds = ?
Well, 2 hundreds = 200
So, 355+200 = 555
PLS MARK BRAINLIEST!
