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3 years ago

Solve the quadratic equation. (x - 5)2 = 9 A) x = 5 or 3 B) x = 8 or 2 C) x = 3 or 2 D) x = -5 or 3 E) x = -8 or 2

1 answer:

8 0

(x-5)2=9
Make the equation equal to 0
(X-5)2-9=0
For each question sub in the value given for x.
A) (5-5)2-9
(0)2-9
0-9
-9
B) (8-5)2-9
(3)2-9
6-9
-3
C) (3-5)2-9
(-2)2-9
-4-9
-13
D) (-5-5)2-9
(-10)2-9
-20-9
-29
E) (-8-5)2-9
(-13)2-9
-26-9
-35
Hope this helps!

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Which number is NOT in the solution set of x − 9 > 3? A) 11 B) 13 C) 15 D) 17

densk [106]

Answer:

Step-by-step explanation:

Given

x - 9 > 3 ( add 9 to both sides )

x > 12

13, 15 and 17 are all greater than 12

However, 11 is less than 12 and is not in the solution set → A

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3 years ago

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Pls help me find the Nth term ASAPP Will Give BRAINLIEST!

jek_recluse [69]

B) 43 because they increase 3
c) 32 because they decrease 7

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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

I need help and please show me work?!

jek_recluse [69]

Answer:

44,51

Step-by-step explanation:

It is cut off, but according to the Order of Operations [GEMS(A)\BOMDAS\PEMDAS etc.], parentheses are dealt with first:

(13,1 × 3) + 5,21 = 44,51

39,3

Just like whole numbers, you multiply the exact same way.

I am joyous to assist you anytime.

3 0

3 years ago

Answer all three please

sweet-ann [11.9K]

6. Answer:

72.84

Step-by-step explanation:

To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle

12 + 15 + 15 = 42

The diameter of the semi circle is 12

πr + d = 6 * π + 12 ≈ 30.84

Add them together

42 + 30.85 = 72.84

7. Answer:

78.54

(78.5)

Step-by-step explanation:

The shape is a circle

Radius is 5

Diameter is 10 (diameter is always double of the radius)

π * r^2 = π * 25 cm^2 = 78.54 cm^2

8. Answer:

50.27

Step-by-step explanation:

The shape is a circle

Radius is 4

Diameter is 8 (diameter is always double of the radius)

π * r^2 = π * 16 ft^2 = 50.27 ft^2

(16 = 8 * 2)

7 0

3 years ago