Answer:
cleetus
Step-by-step explanation:
First, draw and label a rough sketch of an isosceles triangle. Now put in the values of pq=2x+3 and pr=9x-11
You know that the triangle is isosceles, therefore, the sides pq and pr are identical.
Now, make the equations equal to each other to find the value of x.
2x+3=9x-11
3+11=9x-2x
14=7x
14/7=x
2=x
Therefore the value of x=2.
Hope I helped :)
Answer:
picture from Goldbach's conjecture.
Step-by-step explanation:
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states:
Every even integer greater than 2 is the sum of two primes.
The conjecture has been shown to hold for all integers less than 4 × 10^18, but remains unproven despite considerable effort.
So on the red and blue axes you see primes. The list of black numbers are even numbers.
Answer:
(-10,-10)
Step-by-step explanation:
9x-9y=0
3x-4y=10
In elimination, we want both equations to have the same form and like terms to be lined up. We have that. We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.
We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which. I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.
I will rewrite the system with that manipulation:
9x-9y=0
-9x+12y=-30
----------------------Add them up!
0+3y=-30
3y=-30
y=-10
So now once you find a variable, plug into either equation to find the other one.
I'm going to use 9x-9y=0 where y=-10.
So we are going to solve for x now.
9x-9y=0 where y=-10.
9x-9(-10)=0 where I plugged in -10 for y.
9x+90=0 where I simplified -9(-10) as +90.
9x =-90 where I subtracted 90 on both sides.
x= -10 where I divided both sides by 9.
The solution is (x,y)=(-10,-10)
