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Bas_tet [7]
3 years ago
13

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:

<u>Volume of a cylinder</u>

\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 <u>radius of the cylinder</u>:

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

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

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

<u>Surface Area of a Cylinder</u>

\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)

8 0
2 years ago
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What is 94.85 to the nearest tenth
allsm [11]

Answer:

94.90

Step-by-step explanation:

8 0
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.
6 0
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.<span>it would be 22395-20808/5=317.4 f(t) 26508-26155/5= 70.6 
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5 0
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
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