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Aliun [14]
3 years ago
10

What’s an equation equivalent to y=1/3(x+6)^2+1

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

1/​3*​(x+​6)^​2+​1

Step-by-step explanation:

Im a helping hand here to save your grade.

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2000, you just need to put three zeros at the end of the number.
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company 2 charges 4600$ for the first 550 feet of fence and 29 for each additional feet.find the cost if company 2 completes the
Maru [420]

Answer:

I love you 6.78

Step-by-step explanation:

You have to love yourself

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6.78

4 0
3 years ago
XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3
nataly862011 [7]
<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = \frac{1}{2} x b x h      -------------(i)

Where;

A = 18\sqrt{3}

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18\sqrt{3} =  \frac{1}{2} x b x 6

18\sqrt{3} =  3b

<em>Divide through by 3</em>

6\sqrt{3} =  b

Therefore, b = XZ = 6\sqrt{3}

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}

\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}

\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}

\frac{1}{12}  = \frac{1}{2|OZ|}

\frac{1}{6} = \frac{1}{|OZ|}

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0
3 years ago
Help!!!!!!!!!!!!!help
Deffense [45]

Answer:

13 cents, 17 cents, Brand A

Step-by-step explanation:

The unit price is the price of a single pencil. You can find that by dividing the total price by the number of pencils.

Brand A= $2.36/18= $0.13

Band B= $4.09/24= $0.17

0.13 < 0.17

Brand A is cheaper because the price per pencil is less.

3 0
3 years ago
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I’m currently working on my quadrilaterals unit (specifically with trapezoids &amp; kites) and I need major help on a lot of the
allochka39001 [22]

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both \sqrt{8^2 + 4^2}=\sqrt{80}

The lengths of the two shorter legs are both \sqrt{4^2+4^{2}}=\sqrt{32}

So P=2\sqrt{80}+2\sqrt{32} \approx 29.2

5 0
2 years ago
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