Answer:
The equation in vertex form is:
Step-by-step explanation:
Recall that the formula of a parabola with vertex at 
is given by the equation in vertex form:
where the parameter 
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:
we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter 
:
The, the final form of the parabola's equation in vertex form is:
Answer:
20 + 4 + 40 + 9
Step-by-step explanation:
20 + 4 is 24 and 40 + 9 is 49, so it's pretty much the same thing.
Answer:
D = sqrt[ (2-4)^2 + (7- (-1))^2] = ~8.2
Step-by-step explanation:
D = sqrt[ (Fx-Gx)^2 + (Fy- Gy)^2]
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle - 85π ft2
then the area for 1° = 85π ft2/360°
the area of 36° sector = 85π ft2/360° x 36°
= 8.5π ft2
