Answer:
In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:
(10+7)(100+40+4)
Step-by-step explanation:
We are given an expression 17(144) that we have to evaluate let us say without using the calculator.
Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.
Julia would rewrite the expression as:
(10+7)(100+40+4)
Then solve it using distribution method as follows:
10(100+40+4)+7(100+40+4)
1000+400+40+700+280+28
= 2448
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:
![\frac{(x-x_{1})^2}{r^2}+ \frac{(y-y_{1})_^2}{r^2}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-x_%7B1%7D%29%5E2%7D%7Br%5E2%7D%2B%20%5Cfrac%7B%28y-y_%7B1%7D%29_%5E2%7D%7Br%5E2%7D%3D1)
Where
![(x_{1}, y_{1})](https://tex.z-dn.net/?f=%28x_%7B1%7D%2C%20y_%7B1%7D%29)
is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.
![\frac{(x-3)^2}{81}+ \frac{(y+1)^2}{81}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-3%29%5E2%7D%7B81%7D%2B%20%5Cfrac%7B%28y%2B1%29%5E2%7D%7B81%7D%3D1)
Great! We now know the radius of the circle. It is
![\sqrt{81}](https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20)
because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
Answer:
2![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Step-by-step explanation:
(✿◡‿◡) <--- she wants Brainliest
Answer:
x=130
Step-by-step explanation:
triangle=180
180-34-96=50
line=180
180-50=130