Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
HOPE THIS HELPS!!!!!:)
Answer:
1/2
Step-by-step explanation:
If you mean distance, then we can use the distance formula to find out.
(x - x)² + (y - y)² = d² Distance formula
(-2 + 2)² + (7 + 6)² = d² Substitute the points; remember that when you subtract a negative, you add, and also remember to always subtract in the same direction (with the points (1,2) and (3,4), if you do 1 - 3, then do 2 - 4 and not 4 - 2)
(0)² + (13)² = d² Add
0 + 169 = d² Square
169 = d² Add
13 = d Take the square root of both sides to cancel out the exponent
The distance between (-2,7) and (-2,-6) is 13 units.
Hope this helps!