Answer:
center : (0, 2.25)
radius: 14/13
Step-by-step explanation:
x^2+(y-2.25)^2=196/169
Rewrite x^2+(y-2.25)^2=196/169
(x-0)^2+(y-2.25)^2=(14/13)^2
c=(0,2.25),r= (14/13)
hope this helps<3
Answer:
Step-by-step explanation:
The given system of equations is expressed as
3x + y = 9 - - - - - - - - - - - - - - -1
3x = 9 - y - - - - - - - - - - - - - -2
To apply the method of elimination, we would rearrange equation 2 so that it would take the form of equation 1. Therefore, we would add y to the left hand side and the right hand side of the equation, it becomes
3x + y = 9 - - - - - - - - - - - - - - - - -3
Subtracting equation 3 from equation 1, it becomes
0 = 0
The equations have infinitely many solutions because if we input any values of x and y that satisfies the first equation, those values will also satisfy the second equation.
Answer:
∠ 1 = 130°, ∠ 2 = 50°
Step-by-step explanation:
∠ 1 and 130° are alternate angles and congruent, so
∠ 1 = 130°
∠ 2 and 130° are same- side interior angles and are supplementary, so
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
