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4 years ago

What are the coordinates of the vertex of y=-x^2-8x+2?

1 answer:

7 0

The vertex is when x=-b/2a
in this case, b=-8, a=-1, so x=-(-8)/2(-1)=-4
when x=-4, y=-(-4)²-8(-4)+2=18
so the answer is B.

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Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Mandarinka [93]

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = $\pi r l$

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

$\pi r l = 3.14*8*2 = 50.24$

area of base is give by $\pi r^2$

since there is only one base area of that base

= $\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96$

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

3 0

3 years ago

15PTS PLEASE HELP ASAP!<br> (dont write random answers pls!)

Tcecarenko [31]

Answer:

Step-by-step explanation:

.................................

4 0

3 years ago

Read 2 more answers

3(12x – 9) + 9 = 2x + 4<br> Would this be infinite solution, one solution or no solution?

timama [110]

Answer:

One solution

Step-by-step explanation:

Let us first <u>expand</u> the left side of the equation to rid of the parenthesis:

$3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4$

Now let us <u>isolate</u> the variable to sove for x:

$36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}$

Therefore, x= $\frac{11}{17}$ . As you can see, there is just one solution.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

8 0

3 years ago

Please help don’t understand question!

JulsSmile [24]

Answer:

${ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}$

4 0

3 years ago

Read 2 more answers

5 pts

I am Lyosha [343]

The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

<h3>How to determine the rock's height?</h3>

The function is given as:

d = √216 +h²

At a distance of 100 feet, it means that:

d = 100

So, we have:

√216 +h² = 100

Take the square of both sides

216 +h² = 10000

Subtract 216 from both sides

h²= 9784

Take the square root of both sides

h = 98.9

Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet