One way to approach this problem is to go ahead and find the actual equation in slope-intercept form.
The slope of the line thru (3,6) and (5,4) is m = (6-4) / (3-5), or -2/2, or -1.
Subbing the known values of m, x and y, we get:
4 = -(5) + b. Then b = 9.
The correct equation (representing the data values in the table) is y = -x + 9.
Answer:
22.3
Step-by-step explanation:
Take it apart mentally cylinder+2hemispheres 2hemispheres=2half spheres=1 sphere 15=radius of sphere+legnth of cylinder+radius of spehre diameter=5 d/2=5/2=r 15=2.5+legnth+2.5 10=legnth of cylinder surface area of sphere=4pir^2 surface area of cylinder (not including bases) is pidh sphere radius=2.5 SA=4pi2.5^2 SA=4pi6.25 SA=25pi SA=78.5 sphere area SA=5pi10 SA=50pi SA=157 add them 78.5+157=235.5 mm^2
Answer:
{x,y} = {-2,2}
Step-by-step explanation:
Solve equation [2] for the variable y
7y = 7x + 28
y = x + 4
Plug this in for variable y in equation [1]
-8x + 4•(x +4) = 24
-4x = 8
Solve equation [1] for the variable x
4x = - 8
x = - 2
By now we know this much :
x = -2
y = x+4
Use the x value to solve for y
y = (-2)+4 = 2
Solution :
{x,y} = {-2,2}
and this intersects at only one point so your answer is A