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1 year ago

The point (6, - 5) is reflected across the y axis what is the new point

Mathematics

1 answer:

jonny [76]1 year ago

8 0

Answer:

(-6, -5)

Step-by-step explanation:

Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.

(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis

(6, -5) ⇒ (-6, -5)

The image point is (-6, -5).

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A basketball rim 10 ft high casts a shadow 15 ft long. at the same time, a nearby building casts a shadow that is 54 ft long. ho

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15/10= 3/2
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18
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2 years ago

the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola

Juli2301 [7.4K]

Up 2 units = y shifted up by 2:
y = x^2 + 2
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2 years ago

Find the volume of the pyramid

Scorpion4ik [409]

The answer is V=384.

5 0

2 years ago

Read 2 more answers

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

2 years ago

How long would it take to make 4.5 million dollars with a yearly income of 1000 USD?

Angelina_Jolie [31]

Answer:

4,500 days, years, or months

Your income is $1000, and you are trying to get $4,500,000.

You can do this is by dividing $4,500,000 with $1000.

Division

4500000/1000

Cross out all the numbers of 1000 into 4500000 until you get 1.

Since there are 3 zeros in 1000, you cross 3 out in 4,500,000

So, your answer will be 4,500.

It will take 4,500 days, years, or months (You didn't say the unit)

6 0

2 years ago