Answer:
what do u want to find I don't get it
Answer:
Nice!!
Step-by-step explanation:
Use the Pythagorean Theorem to determine if the sides form right triangle or not.
a^2+b^2=c^2
3,4,5
3^2+4^2=5^2
9+16=25
25=25
Yes
5,12,13
5^2+12^12=13^2
25+144=169
169=169
Yes
6,8,10
6^2+8^2=10^2
36+64=100
100=100
Yes
6,9,12
6^2+9^2=12^2
36+81=144
117=144
No
8,13,26
8^2+13^2=26^2
64+169=676
233=676
No
8,15,17
8^2+15^2=17^2
64+225=289
289=289
Yes
9,12,14
9^2+12^2=14^2
81+144=196
221=166
No
5/2,6,13/2
(5/2)^2+6^2=(13/2)^2
25/4+36=169/4
25/4+144/4=169/4
169/4=169/4
Yes
The information from the first equation gives you the information needed for the second. To solve the first equation you must rearrange the equation to isolate X. In order to do that you can first move the 3 to the other side of the equation by subtracting it from both sides (5x + 3 - 3 = 4 - 3) and then simplify that to (5x = 4 - 3) and further to (5x = 1). Then to move the 5 you must divide both sides by 5 so you get (5x/5 = 1/5) which can be simplified to (x = 1/5)
From this you can use the X value and input it into the second equation
Y = -3(1/5) and then solve for Y.
Hope this helps!
Answer:
![k=-9](https://tex.z-dn.net/?f=k%3D-9)
Step-by-step explanation:
According to the Polynomial Remainder Theorem, when dividing a polynomial P(<em>x</em>) by a binomial in the form (<em>x - </em>a), the remainder will be given by P(a).
We are given the polynomial:
![f(x)=x^2+kx+11](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2Bkx%2B11)
And it is divided by the binomial:
![x+1](https://tex.z-dn.net/?f=x%2B1)
The remainder is 21.
Rewriting the divisor yields:
![x-(-1)](https://tex.z-dn.net/?f=x-%28-1%29)
So, <em>a</em> = -1.
Then by the PRT:
![f(-1)=(-1)^2+k(-1)+11=21](https://tex.z-dn.net/?f=f%28-1%29%3D%28-1%29%5E2%2Bk%28-1%29%2B11%3D21)
Simplify:
![1-k+11=21](https://tex.z-dn.net/?f=1-k%2B11%3D21)
Solve for <em>k: </em>
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