Answer:
A. 2.82 m
Step-by-step explanation:
<u>The missing side we are trying to find is the hypotenuse, this is because it is the longest side of a right triangle.</u>
<em><u>The Pythagorean Theorem is used:</u></em>
<em><u /></em>
<em><u>Plug in the given numbers (2), accordingly:</u></em>
<em><u /></em>
<em><u>Take the square root of both sides:</u></em>
<em><u /></em>
2.82 ≈ c
Answer:
f(2)=-15
Step-by-step explanation:
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
Answer:
dd
Step-by-step explanation:
We will use integration by substitution, as well as the integrals
∫
1
x
d
x
=
ln
|
x
|
+
C
and
∫
1
d
x
=
x
+
C
∫
x
3
x
2
+
1
d
x
=
∫
x
2
x
2
+
1
x
d
x
=
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
Let
u
=
x
2
+
1
⇒
d
u
=
2
x
d
x
. Then
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
=
1
2
∫
u
−
1
u
d
u
=
1
2
∫
(
1
−
1
u
)
d
u
=
1
2
(
u
−
ln
|
u
|
)
+
C
=
x
2
+
1
2
−
ln
(
x
2
+
1
)
2
+
C
=
x
2
2
−
ln
(
x
2
+
1
)
2
+
1
2
+
C
=
x
2
−
ln
(
x
2
+
1
)
2
+
C
Final answer
N+d=33
5n+10d=235
n=-d+33
-5d+165+10d=235
5d=70
d=14
n=19
Ayana has 14 dimes and 19 nickels