Which of the following graphs represents the equation y=2x+2?
2 answers:
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Answer:
2 real solutions
Step-by-step explanation:
y = -x^2 + 3x + 5
First find the the discriminant:
using b² - 4(a)(b)
(3)²- 4(-1)(5)
=9+20
=29
since the discriminant is more than 0, there are 2 real solutions
79 is a prime, so we cannot reduce it. 
Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre =
Centre (h, k) = (3 , 5)
<u><em>Step(ii):-</em></u>
The distance of two end points
PQ =
PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
<u><em>Final answer:-</em></u>
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0