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3 years ago

What is the function y=-(x+2)(x+9) in vertex form?

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

y=-(x+ $\frac{11}{2}$ )^2+ $\frac{49}{4}$

Step-by-step explanation:

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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

Surface Area of a Cylinder

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=813.3908956...$

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

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2 years ago

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What is 94.85 to the nearest tenth

allsm [11]

Answer:

94.90

Step-by-step explanation:

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2 years ago

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I need to find y and put it on a graph

kotykmax [81]

Multiply the x by 4, then add 3. ( 4× $\frac{1}{2}$ +3= 5 ). Keep doing that for the rest. Hope this helped a little. If you have any questions, you can message me if you would like.

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3 years ago

Personal income (in 1998 dollars) in one state increased approx linearly from $20,808 in 1998 to $22,395 in 2003. personal incom

pav-90 [236]

You're given two points for f(t) and g(t) each. Two points, (x1,y1), and (x2,y2). In this case, x1 is always x1=0, since the time t starts counting at the earliest year given. We know the form y=mx+b. m can be found a la (y2-y1)/(x2-x1), but remember x1 is 0. b can be found at f(0) or g(0), which we're already given; y1 for both cases. I'm sorry, but I'm not giving a direct answer. Knowing the method, and being careful with calculations, should be more than sufficient.it would be 22395-20808/5=317.4 f(t) 26508-26155/5= 70.6

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3 years ago

jen butler has beeb pricing speed-pass train fares for a group trip to new york. three adults and four children must pay $80. tw

Degger [83]

Answer:

Adult price is: $12

Children price is: $11

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3 years ago