Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14

Answer:

x-coordinate of the vertex: h = 6.

Step-by-step explanation:

The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts.  The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.

In the standard form of quadratic equation, y = ax² + bx + c:

[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]

In the vertex form of quadratic function, y = a(x - h)²+ k:

[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]

Hence, the axis of symmetry is the point where x = h.  

Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.

Answer:

a: [tex]f(t)=(t+2)^2-18[/tex]

b: vertex: (-2, -18)

   minimum

c: x = -2

Step-by-step explanation:

Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.

Part A ===============

Start with the given function in this form:

[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]

We need an additional number, d, and we'll calculate it like this:

[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]

d needs to be added and subtracted at the same time. That way we do not change the value of the expression:

[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]

And you can separate them like this to make it easier to read:

[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]

Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial.  The factored form is just:

[tex](x+e)^2[/tex]

where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.

[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]

Put that all together and you get the answer:

[tex]f(t)=(t+2)^2-18[/tex]

Part B ===============

Vertex form is this:

[tex]f(x)=a(x-h)^2+k[/tex]

where (h, k) is the vertex and a is the scale factor.

In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.

The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.

Part C ==============

The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.

The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.

Sorry if that got too long and hard to follow, I can clarify any part of it if needed.

Answer:

Commutative Property of Addition

Step-by-step explanation:

This is because the commutative property of addition and multiplication is

[tex]a+b=b+a\\a*b=b*a[/tex]

and as an example

[tex]5+9=14 \\9+5=14\\10*6=60\\6*10=60[/tex]

Answer:i dont know sorry

Step-by-step explanation:

Answer:

so what do i do

Step-by-step explanation:????????????

Answer:

2×-6+9=5+×-1

2×-×=5-1+6-9

×=1

we know there are 1000g in 1 KILOgram, so how many grams in 0.01Kg?

[tex]\begin{array}{ccll} grams&Kgs\\ \cline{1-2} 1000&1\\ x&0.01 \end{array}\implies \cfrac{1000}{x}=\cfrac{1}{0.01}\implies (1000)(0.01)=x\implies \stackrel{g}{10}=x[/tex]

Answer:

7839 ...........

Answer:The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

The soup pot is 8 inches tall with a radius of 3 inches.

This means that

What is the volume of the soup pot?

The volume of the soup pot is of 226.19 cubic inches.

From the given figure,

Subtracting AB and DC, so,

[tex]6 - 3 = 3 \: cm[/tex]

As we know that :-

[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]

[tex]→d = 4 π cm[/tex]

Since:-

[tex]c = πd[/tex]

[tex]c = 4πd[/tex]

So, Answer is 4 π d

Answer:

My man Zachary is right!

Step-by-step explanation:

The rule is so very simple!

Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!

Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!

So Negative*Negative is Positive (-10 x -10 = 100)

And Positive*Negative is always negative (-10 x 10 = -100)

And we both know that Positive times positive is positive. (10 x 10 = 100)

Answer:

c. x=65

f. Alternate Exterior Angles

Step-by-step explanation:

2x+2=3x-63

2x=3x-65

-x=-65

x=65

They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles

Answer:

4 pounds

Step-by-step explanation:

Add 16 64 divided

The snowy owl weighs is 4 pounds.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that A snowy owl weighs 64 ounces.

16 ounces (oz) = 1 pound (lb)

We have to determine the number of pounds the owl weighs.

Let x pounds would be the owl weighs

We can write this as a ratio as

16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds

⇒ 16/1 = 64/x    

⇒ (16)(x) = 64

Divide each side by 16

⇒ x =64/16

⇒ x = 4

Therefore, the snowy owl weighs is 4 pounds.

Learn more about the Ratio here:

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Step-by-step explanation:

An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.

The x-coordinate always comes first, before the y-coordinate.

(x, y)

Step-by-step explanation:

The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.  

In an ordered pair, (x, y):

We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.

For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.  

Please see the attached screenshot where it shows how these two points have varying locations.  

[tex]3x+7 > 13\implies 3x>6\implies x > \cfrac{6}{3}\implies x > 2[/tex]

Check the picture below, notice the line at x = 2 is dashed, or namely it doesn't include that value, because "x greater than 2" means 2.1, 2.2, 2.0001, 2.0000001  anything above but never 2.

Answer:

Length: 18

Width: 16

Step-by-step explanation:

Answer:

$16.65

Step-by-step explanation:

To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65

Answer:

=r-10+10>-7+10

=r>3

first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.

For r > 3, the inequality r - 10 > -7 is satisfied.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -

3x + 4 > 5

ax + b < c

We have the following inequality -

r - 10 > -7

We can write -

r - 10 > -7

r - 10 + 10 > - 7 + 10

r > 3

Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

A' (-2, -4)

B' (1, -8)

C' (-3, -16)

Step-by-step explanation:

Since k is the vertical scale factor, multiply all y coordinates by 4. All x coordinates will remain the same.

Answer:

Step-by-step explanation:

3 = 2w

=> 2w = 3

[tex] = > w = \frac{3}{2} [/tex]

=> w = 1.5 (Ans)

Answer:

D. 140

Step-by-step explanation:

4 / 80 = 20

20 * 7 = 140

therefore, 140 is the answer

Answer:

140

Step-by-step explanation:

Answer:

54 wrapping papers sold

Answer:

3 and-2

Step-by-step explanation:

The point of intersection

Answer:

x=-2, x=3

Step-by-step explanation:

x²-x-6=0

x²-3x+2x-6=0

x(x-3)+2(x-3)=0

(x+2)(x-3)=0

Answer:

650

Step-by-step explanation:

822-72=650

Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³

Answer:

6

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

Answer:

which question can I help you