All categories

2 years ago

30 POINTS!! Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

The axis of symmetry is at X = 2

You might be interested in

-6.3 ⋅ 5=? answer plz

tigry1 [53]

Answer:

Answer

Step-by-step explanation:

-6.3*5= -31.5

6 0

4 years ago

Read 2 more answers

7/10 < > = 3/6 3/8 < > = 3/6 7/10 < > = 3/8

IceJOKER [234]

Answer:

a graph would be needed to answer this question

Step-by-step explanation:

3 0

3 years ago

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

3 years ago

If ACFE = APTR, then ZF =

lord [1]

Than Zf will equal prt or irt

6 0

3 years ago

Read 2 more answers

HELP HELP HELP Quick algebra 1 question What is the slope of this graph?

Nataly [62]

Hello and Good Morning/Afternoon:

To find the slope of something:

⇒ let's consider what the formula of the slope needs

$\frac{y_2-y_1}{x_2-x_1}$

⇒ needs any two points on the line (x₁,y₁) and (x₂,y₂)

Let's get the required information:

(x₁,y₁) ==> (0,0)

(x₂,y₂) ==> (5,2)

Let's solve:

$Slope = \frac{2-0}{5-0} =\frac{2}{5}$

Answer: 2/5

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers