Step-by-step explanation:
8x² + 7y² - z² + 2yz + 3xz - 5xy
x 2x - 3y
-----------------------------------------------
-24x²y - 21y³ + 3yz² - 6y²z - 9xyz + 15xy²
+ 16x³ + 14xy² - 2xz² + 4xyz + 6x²z - 10x²y
-----------------------------------------------------------
16x³-21y³-34x²y+6x²z+29y²x-6y²z-2xz²+3yz²-5xyz
Heres your answer,
Point L.
Answer:
D. ![60^o](https://tex.z-dn.net/?f=60%5Eo)
Step-by-step explanation:
We have been given a diagram of circle and we are asked to find the value of x.
We can see from our diagram that it has a angle formed by a secant and tangent of the circle which measure 55 degrees.
Since the tangent-secant angle theorem states that the angle formed by a secant and tangent outside the circle is the half the difference of measures of its intercepted arcs (major arc-minor arc).
We can see that measure of Tangent-Secant angle is 55 degrees. Major arc intercepting to the angle has a measure of 170 degrees and minor arc measures x degrees.
Using our given information we can set an equation as:
![55^o=\frac{170^o-x^o}{2}](https://tex.z-dn.net/?f=55%5Eo%3D%5Cfrac%7B170%5Eo-x%5Eo%7D%7B2%7D)
Now let us solve for x by multiplying both sides of our equation by 2.
![55^o*2=\frac{170^o-x^o}{2}*2](https://tex.z-dn.net/?f=55%5Eo%2A2%3D%5Cfrac%7B170%5Eo-x%5Eo%7D%7B2%7D%2A2)
![110^o=170^o-x^o](https://tex.z-dn.net/?f=110%5Eo%3D170%5Eo-x%5Eo)
Now let us subtract 170 degrees from both sides of our equation.
![110^o-170^o=170^o-170^o-x^o](https://tex.z-dn.net/?f=110%5Eo-170%5Eo%3D170%5Eo-170%5Eo-x%5Eo)
![110^o-170^o=-x^o](https://tex.z-dn.net/?f=110%5Eo-170%5Eo%3D-x%5Eo)
![-60^o=-x^o](https://tex.z-dn.net/?f=-60%5Eo%3D-x%5Eo)
![60^o=x^o](https://tex.z-dn.net/?f=60%5Eo%3Dx%5Eo)
Therefore, value of x is 60 degrees and option D is the correct choice.
Answer:
2) DE = 25
4) LN = 27
Solve for x:
![x=17](https://tex.z-dn.net/?f=x%3D17)
Step-by-step explanation:
2) ![41-16=25](https://tex.z-dn.net/?f=41-16%3D25)
4)
; ![(17)+1=18; 18+9 = LN; LN=27](https://tex.z-dn.net/?f=%2817%29%2B1%3D18%3B%2018%2B9%20%3D%20LN%3B%20LN%3D27)
Tip:
DE + EF = DF
LM + MN = LN
Happy Pride Month!
Part 1:
You can solve the pair of equation graphically by writing the y-intercepts which are (0,-1) and (0,-5) Then follow the slopes of each line till the intercept. The slopes are up 2 over 1 and up 4 over 1 respectivily
Part 2:
When you graph these you get the answer of (2,3)
x is 2 and y is 3
Have a good day!