Answer:
y=5
Step-by-step explanation:
Just move stuff around
Download photomath it’s really helpful for question like that it also explains it :)
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
Answer:
(- , - ) and (3, 3 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 18 → (1)
x - 2y = - 3 → (2)
Rearrange (2) expressing x in terms of y by adding 2y to both sides.
x = 2y - 3 → (3)
Substitute x = 2y - 3 into (1)
(2y - 3)² + y² = 18 ← expand left side and simplify
4y² - 12y + 9 + y² = 18
5y² - 12y + 9 = 18 ( subtract 18 from both sides )
5y² - 12y - 9 = 0 ← in standard form
(5y + 3)(y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
5y + 3 = 0 ⇒ 5y = - 3 ⇒ y = -
y - 3 = 0 ⇒ y = 3
Substitute these values into (3) for corresponding values of x
y = - : x = - - 3 = - ⇒ ( - , - )
y = 3 : x = 6 - 3 = 3 ⇒ (3, 3 )
9514 1404 393
Answer:
x ≈ {-1.8, 0.5}
Step-by-step explanation:
I find a graphing calculator to be about the easiest way to solve these. It is convenient to put the equation into the form f(x) = 0. Here we can do that by subtracting 3x^2 from both sides.
9x^2 +8x -5 = 3x^2 . . . . . given
6x^2 +8x -5 = 0 . . . . . . . . subtract 3x^2
The solutions to this are the x-intercepts of the graph:
x = -1.8 or +0.5