I think 432 sorry if wrong
Answer:
The first triangle is larger
Step-by-step explanation:
(1/2)(8)(10)=40
(1/2)(5)(13)=32.5
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]}
Use the interest formula, fill in the given numbers, and solve for the remaining value.
.. I = Prt
.. 30 = 500*.03*t . . . . . substitute the given values
.. 30/15 = t = 2 . . . . . . . divide by the coefficient of t and evaluate
The time is 2 years.
Answer:
40
Step-by-step explanation:
5 people in the room have 5*40 = 200 years altogether
a new person is X years old.
Now 6 people have (200 + x) years altogether.
Mean age of 6 people is (200+x)/6. and it is also = 40.
So,
(200+x)/6 = 40
200 + x = 240
x = 40
