The distance between the two points is 6
hope this helps!
Answer:
68
Step-by-step explanation:
The expression is given as:
4( 3+ 7y) + 6(2 - y)
It is known that y is equal to 2. Therefore, substitute 2 in for y.
4(3+7(2))+6(2-2)
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Solve inside of the parentheses first.
4(3+7(2))+6(2-2)
4(3+14)+6(0)
4(17)+6(0)
Multiply
68+0
Add
68
All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..
r^2=(4-1)^2+(6-2)^2
r^2=9+16
r^2=25
r=5
The equation of the circle can be expressed as:
r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.
(x-2)^2+(y-1)^2=25
if you wanted it in a more standard form...
(y-1)^2=25-(x-2)^2
(y-1)^2=25-x^2+4x-4
(y-1)^2=-x^2+4x+21
y-1=(-x^2+4x+21)^(1/2)
y=1(+/-)(-x^2+4x+21)^(1/2)
Answer:45
Step-by-step explanation: There’s 16 cups in a gallon and the car goes 4952 yards per cup. You have to multiply the equivalency of a gallon by the yards to get your total distance in yards. Then, you would have to divide your total in yards (79,232) by the yards in a mile (1760). Your ratio would be around 45 miles per gallon.
4x - 4y = 10
1. Factor out the common term 4
4(x - y) = 10
2. Divide both sides by 4
x - y = 10/4
3. Simplify 10/4 to 5/2
x - y = 5/2
4. Add y to both sides
x = 5/2 + y
3x + 2y = 5
1. Subtract 2y from both sides
3x = 5 - 2y
2. Divide both sides by 3
x = 5 - 2y/3