Point slope form is y-y1=m(x-x1)
where the slope is m and a point on the line is (x1,y1)
so
slope bewteen (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
slope bewteen points (-1,-2) and (-2,-6) is
(-6-(-2))/(-2-(-1))=(-6+2)/(-2+1)=-4/-1=4
pick either (-1,-2) or (-2,-6)
I pick (-1,-2)
slpoe is 4
y-(-2)=4(x-(-1))
y+2=4(x+1)
Answer: y = 1/2x + 3
Step-by-step explanation:
Use the equation y=mx +b
Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".
The y-intercept (b) is 3 (when x is zero, it is y).
First, solve for the radius of the sphere using the volume and the equation,
V = 4πr³ / 3
Substituting for the known values,
3000π m³ = 4πr³/3
The value of r from the equation is approximately 13.10 meters. The equation for the surface area is,
SA = 4πr²
Substituting the value of radius,
SA = 4π(13.10 m)² = 2157.74 m²
Therefore, the surface area is approximately 2157.74 m².
Answer:
a) 
b) 
Step-by-step explanation:
Number of balls in the urn = 12
Number of white balls in the urn = 4
So, number of balls which are not white = 12 - 4 = 8
We know that probability = No. of outcomes/Total number of outcomes
Let 
denotes the event of getting white ball by A, B and C
a) each ball is replaced after being drawn.
Probability = Number of white balls/Total number of balls
Solution: 
b)the balls that are withdrawn are not replaced.
Solution:
If A wins: 
If A lost and B wins: 
If A and B lost and C wins: 
and so on....
The answer is <span>b.3x + 15 = 55 - x
</span>
x - Jill's present age
y - dad's present age
<span>In 5 years, Dad will be three times as old as his daughter Jill will be then:
y + 5 = 3(x + 5)
</span><span>The sum of their present ages is 50:
x + y = 50
We have the system of two equations now:
</span>y + 5 = 3(x + 5)
x + y = 50
Let's rearrange the second equation:
If: x + y = 50
Then: y = 50 - x
Now, substitute y from the second equation (y = 50 - x) into the first one:
y + 5 = 3(x + 5)
50 - x + 5 = 3(x + 5)
50 + 5 - x = 3*x + 3*5
55 - x = 3x + 15
Rearrange it a bit:
3x + 15 = 55 - x
Therefore, the correct choice is b.
