Answer:
4x+2y = 14 The original equation
2y = 14-4x Subtract 4x from both sides
2y = -4x+14 Rearrange so x is first
y = -2x+7 Divide everything by 2
Explanation:
The steps above practically explain everything needed, so there's not much to add. The standard form is Ax+By = C while slope intercept form is y = mx+b
In the case of y = -2x+7, we have a slope of m = -2 and y intercept of b = 7. This means (0,7) is one point on the line. Use the slope to move down two and to the right one unit to arrive at (1, 5) as another point on this line.
Answer: -32
Step-by-step explanation:
35 (t + 29) = −3(3 − t)
Open the brackets
35t+1015= -9+3t
Collect like terms
35t-3t=-9-1015
32t= -1024
Divide both side by 32
32t/32 = -1024/32
t= -32
So to do this one, you have to do the problem backwards!
The equation looks like this with everything plugged in:
272.2 = 2(3.14)r
You are looking for r, so start dividing
272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r
Therefore the radius is about 43.3 in.
I hope I helped!
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
