Answer:
y = 0x +6 or y = 6 if simplified
Step-by-step explanation:
y=mx+b is slope intercept formula
m is the slope which we know ( 0 ) and we know the line passes through (5,6) so all we need to figure out is b
so plug it in and solve:
6 = 0(5) +b
6 = b
so 6 is b and now we know the equation
y = 0x +6 or y = 6 if simplified
To form an equation with the given information, we use the formula :
y = mx + b, m being the slope and b being the y-intercept.
Since it is given that the slope is -9/7, we substitute m with -9/7.
y = -9/7x + b
To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4
4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5
Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :
y = - 9/7x - 5
To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0
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Answer : 7y + 9x + 5 = 0
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Standard equation for a circle is: (x -h)² + (y - k)² = r²
(h,k) is the center which is given to be: (0,0) so you just need the radius.
The radius is the distance from the center to the point (-4,5) on the edge.
Use the distance formula
d = √[(-4 - 0)² + (5 -0)²]
d = √[16 + 25]
d = √[41]
radius is √[41]
so the equation for the circle is: x² + y² = 41
Answer:
4618.25 sq.km.
Step-by-step explanation:
After 1 year, the forest has shrunk from 4900 sq.km to 4900*(1-0.0575) = 4900*(0.9425)
