Steps:
All cans take on the shape of a cylinder, unless you have seen interesting shape of cans like a starfish.
The formula for surface area of a cylinder is
SA = 2πr2 + 2πrh
where:
r = radius
h = height
Since we know the surface area and height, we can plug them in. Note that we can factor out the 2π. You will see why we factor out 2π rather than 2πr.
2π(r2 + (20)r) = 396
2π(r2 + 20r) = 396
Divide both sides of the equation by 2π to isolate the r terms.
r2 + 20r = 63.025
Subtract 63.025 on both sides of the equation.
r2 + 20r - 63.025 = 0
Use the quadratic formula to solve for r:
r = (-b ± √(b2 - 4ac)) / 2a
where:
a = 1
b = 20
c = -63.025
Plug in these values into the formula. You should get two solutions because of the plus/minus sign. Accept the positive value of r.
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<em><u>Hope this helps.</u></em>
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
Answer:
x=(-3,0)
y intercept= (0,-1)
Step-by-step explanation:
to find the x-intercept you need to substitute 0 for y and solve for x. To find the y intercept, substitute 0 for x and solve for y.
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Further explanation:
When two triangles are congruent, then their respective sides will also be congruent or equal
As it is given that
ΔABC≅ΔDFE
Which means that
EF = BC
ED=AC
FD=AB
Now,
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Keywords: Similar triangles, Congruent Triangles
Learn more about congruent triangles at:
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