Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
I am not sure about point slope, but I can find an equation in slope-intercept form and convert it, so
y=mx+b, m=slope
slope=(y1-y2)/(x1-x2)
we have points
(4,5)
(-3,-1)
(x,y)
x1=4
y1=5
x2=-3
y2=-1
subsitute
(5-(-1))/(4-(-3))=(5+1)/(4+3)=6/7
y=6/7+b
sybsitute and solve for b
(4,5)
x=4
y=5
5=6/7(4)+b
5=24/7+b
5=35/7
subtract 24/7 from both sides
11/7=b
y=6/7x+11/7
convert to the point slope form and find equivilent fraction
since the question asks for 2 answers that are correct and only 2 of the equations have slope of 6/7 I can guess that the answers are B and C
Answer:
1/4.
Step-by-step explanation:
That is 1 - (1/4 + 2/5 + 1/10).
The Lowest common multiple 4 5 and 10 is 20 so we have
20/20 - (5/20 + 8/20 + 2/20)
= 20/20 - 15/20
= 5/20
= 1/4 answer.

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

Combine like terms.

Solve the equation by factoring.

Hence the values of x that make f(x) = g(x) are -3 and 1.
Answer
Let me know if you have any doubts!
Answer: 2/5
Step-by-step explanation:
Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles
Hope this helps:)