Answer:
meters.
Step-by-step explanation:
This question can be solved using a rule of three.
If a one dollar bill is 0.0001 meters thick.
So 1 dollar is m tall.
How tall is 4 trillion one dollar bills?
1 trillion =
So 4 trillion =
Then
1 dollar - m
- xm
The answer is meters.
• Angles DXC and AXB form a vertical pair, so they are congruent and have the same measure.
• ∆ABD is isosceles, since it's given that AD and BD are congruent. This means the "base angles" BAD and ABD have the same measure; call this measure <em>x</em>.
• The measure of angle ADB can be computed by using the inscribed angle theorem, which says
m∠ADB = 1/2 (100°) = 50°
(that is, it's half the measure of the subtended arc AB whose measure is 100°)
• The interior angle to any triangle sum to 180° in measure. So we have in ∆ABD,
m∠ADB + 2<em>x</em> = 180°
Solve for <em>x</em> :
50° + 2<em>x</em> = 180°
2<em>x</em> = 130°
<em>x</em> = 65°
• Use the inscribed angle theorem again to find the measure of angle BAC. This will be half the measure of the subtended arc BC, so
m∠BAC = 1/2 (50°) = 25°
• Now in ∆ABX, we have
m∠AXB + 25° + 65° = 180°
m∠AXB = 90°
Hence m∠DXC = 90°.
Answer:
To graph a quadratic equation we first need to factorise it into a different form.
First we check what the discriminant is equal to
Where
f
(
x
)
=
a
x
2
+
b
x
2
+
c
Δ
(Discriminant)
=
b
2
−
4
a
c
In this case
Δ
=
3
2
−
4
⋅
2
⋅
7
Δ
=
−
47
Because it is less than zero it can't be factored normally
Therefore we must use the The Quadratic Formula or Completing the Square
Here I have completed the square
f
(
x
)
=
2
x
2
−
3
x
+
7
Remove factor from
x
2
term
f
(
x
)
=
2
⋅
(
x
2
−
3
2
x
+
7
2
)
Take
x
term, half it and then square it
f
(
x
)
=
−
3
2
→
−
3
4
→
9
16
Add and then subtract this number inside the equation
f
(
x
)
=
2
⋅
(
x
2
−
3
2
x
+
9
16
−
9
16
+
7
2
)
Combine the first three terms in a perfect square
f
(
x
)
=
2
⋅
(
(
x
−
3
4
)
2
−
9
16
+
7
2
)
Equate left over terms
f
(
x
)
=
2
⋅
(
(
x
−
3
4
)
2
+
47
16
)
Multiply coefficient back in
f
(
x
)
=
2
(
x
−
3
4
)
2
+
47
8
This gives a turning point of
(
3
4
,
47
8
)
=
(
0.75
,
5.875
)
and a
y
intercept of
2
⋅
(
3
4
)
2
+
47
8
=
(
0
,
7
)
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Answer: x=5
Step-by-step explanation:
simplify
multiply 35 on both sides
x=5
If f(x) = x^3 + x^2 - 1, then
f(-x) = (-x)^3 + (-x)^2 - 1
f(-x) = (-1)^3 * x^3 + (-1)^2 * x^2 - 1
f(-x) = (-1) * x^3 + 1 * x^2 - 1
f(-x) = -x^3 + x^2 - 1
So,
g(x) = f(-x) - 5
g(x) = -x^3 + x^2 - 1 - 5
g(x) = -x^3 + x^2 - 6 <----- this is the answer
I hope this helps. =)