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3 years ago

I WILL MARK BRAINLIEST Solve for y: 6 = 2(y+2) y = ?

Mathematics

1 answer:

NeTakaya3 years ago

8 0

Answer:

y = 1

Step-by-step explanation:

6 = 2(y + 2)

6 = 2y + 4

-4 -4

------------------

2 = 2y

/2 /2

-----------------

1 = y

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Which of these is the best definition of an ellipse?

MArishka [77]

Answer:

I think it's B.

Step-by-step explanation:

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What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

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8 0

2 years ago

The slope of a line is 58, and the line passes through the point (−8,−4).

nadezda [96]

Answer:

y=58x+460

Step-by-step explanation:

y=mx+b

We are given m=58 so we have

y=58x+b

We are given (-8,-4) is a point on the line.

-4=58(-8)+b

-4=-464+b

460=b

So the line in slope intercept form is y=58x+460

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3 years ago

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3 years ago

In the diagram, point O is the center of the circle and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC?

Sladkaya [172]

Answer:

m∠BDC = 43°

Step-by-step explanation:

According to the theorem every peripheral angle in the circle is equal to half value of central angle.

Angle m∠ADB is corresponding peripheral angle of central angle m∠AOB.

According to this m∠AOB = 2· m∠ADB = 2· 43 = 86°

If angle m∠BOC=m∠AOB= 86°

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According to this m∠BDC = m∠BOC/2 = 43°

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