Answer:
Step-by-step explanation:
<u>Point slope form</u>
y=mx +c, where m is the gradient and c is the y-intercept.
To find the gradient, use the formula below:
Substitute the value of m into the equation
To find c, substitute a coordinate into the equation.
When x= -3, y=7,
Thus, the equation of the line is 
Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Answer:
<em>100</em>
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
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Answer:10^8
Step-by-step explanation:
