Answer:
Step-by-step explanation:
3/2*(-767)
Multiplying a postive and a negative = a negative
= -3/2*767
=-2301/2
Answer:
option a)
y = m(0.5) + 1.8
Step-by-step explanation:
Equation
<h3>
y = mx + c</h3>
represent the equation of straight line
here m = gradient of straight line
c = y-intercept
First find the gradient of the graph
<h3>
m = y2 - y1 / x2 - x1</h3>
= 4 - 3 / 4 - 2
= 1 / 2
Put the values in the equation of straight line
y =mx + c
4 = 1/2(4) + c
c = 2
y = 1/2x + 2
which is approximately equal to y = 0.5x + 1.8
If you want an answer greater that 7, your fraction needs to be greater than 1.
n can be any number greater than 4
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)
