Each spoke is 4.3 inches long.
Since the spoke is from the center of the wheel to its rim, we are looking for the radius of the circle.
Circumference = 2πr
27 = 2(3.14) r
27 = 6.28 r
27/6.28 = 6.28r/6.28
4.30 = r
Domain is the left and right values, which means any parabola opening up or down will have a domain of (-∞, ∞)
well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".
![-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill](https://tex.z-dn.net/?f=-3x-5y%3D12%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsetting%20y%20%3D%200%7D%7D%7B-3x-5%280%29%20%3D12%7D%5Cimplies%20-3x-0%3D12%20%5C%5C%5C%5C%5C%5C%20-3x%3D12%5Cimplies%20x%3D%5Ccfrac%7B12%7D%7B-3%7D%5Cimplies%20x%20%3D%20-4%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bcoordinates%7D%7D%7B%28-4~~%2C~~0%29%7D~%5Chfill)
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)
Answer:
(x+1)² + y² = 36
Step-by-step explanation:
<u>Equation of a circle:</u>
(x-h)² + (y-k)² = r²
Center: (h,k)
Radius: r
Given a center of (-1,0) and a radius of 6, we have for our equation:
(x-(-1))² + (y-0)² = 6²
(x+1)² + y² = 36
