Slope = 2
9,4 is graph
i might be wrong tho
2+2-2*2/2 divide 2/2=
2+2-2*1 multiply 2*1=
2+2-2 add 2+2=
4-2 subtract 4-2=
2
answer= 2
=±22
x
=
±
2
x
2
Using the fact that 2=ln2
2
=
e
ln
2
:
=±ln22
x
=
±
e
x
ln
2
2
−ln22=±1
x
e
−
x
ln
2
2
=
±
1
−ln22−ln22=∓ln22
−
x
ln
2
2
e
−
x
ln
2
2
=
∓
ln
2
2
Here we can apply a function known as the Lambert W function. If =
x
e
x
=
a
, then =()
x
=
W
(
a
)
.
−ln22=(∓ln22)
−
x
ln
2
2
=
W
(
∓
ln
2
2
)
=−2(∓ln22)ln2
x
=
−
2
W
(
∓
ln
2
2
)
ln
2
For negative values of
x
, ()
W
(
x
)
has 2 real solutions for −−1<<0
−
e
−
1
<
x
<
0
.
−ln22
−
ln
2
2
satisfies that condition, so we have 3 real solutions overall. One real solution for the positive input, and 2 real solutions for the negative input.
I used python to calculate the values. The dps property is the level of decimal precision, because the mpmath library does arbitrary precision math. For the 3rd output line, the -1 parameter gives us the second real solution for small negative inputs. If you are interested in complex solutions, you can change that second parameter to other integer values. 0 is the default number for that parameter.
Answer: m=-9/10; d=13.45
Step-by-step explanation:
To find the slope, you would use the formula
. We plug in the given points and solve.
![m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9-0%7D%7B0-10%7D%20%3D%5Cfrac%7B9%7D%7B-10%7D%20%3D-%5Cfrac%7B9%7D%7B10%7D)
Now, we know that slope is -9/10.
To find the distance between the points, we use the distance formula.
Distance formula: ![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
[parenthesis]
[exponent]
[add]
![d=\sqrt{181}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B181%7D)
![d=13.45](https://tex.z-dn.net/?f=d%3D13.45)
Now, we know the distance is approximately 13.45.