Answer:
The number that would go in the blank to get a perfect square trinomial is 18
Step-by-step explanation:
The middle term can always be found by taking twice of the square root of the final term.
2 * √81 = 18
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
See below
Step-by-step explanation:
Just add the two equations together....this will eliminate 'x' and you can then solve for 'y'
Use this value of 'y' in one of the equations to calculate the value of 'x'
Answer:
5,2
Step-by-step explanation:
8/11 is the answer
I use this trick: When tryig to find repeating numbers divide by 11 or 9
When dividing by 9 the numerator will be the first number in the decimal
When dividing by 11 the numerator will be one more than the first number in the decimal
