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Fudgin [204]
3 years ago
10

Solve for all values of x by factoring. X? – 48 = 1

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

x²-48 =1

x²-48-1 =1-1

x²-49=0  means : x²-7²=0

by identity : a²-b²= (a-b)(a+b)

by factoring: (x-7)(x+7)=0

x-7=0 or x+7=0

x=7 or x= -7

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An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee
SSSSS [86.1K]

Answer:

0.79 in^3

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

volume=\frac{1}{3} \pi r^2h

volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3

The difference in volume is 4.189-3.39= 0.79 in^3

8 0
3 years ago
Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
3 years ago
What is the volume of the cone? Use 3.14 for π and round to the nearest hundreth.
Mazyrski [523]

Answer:

The volume of given cone is 602.88 cube units

Step-by-step explanation:

<u>Formula:</u>

Volume of cone, V = πr²h

r - Radius of cone

h - height of cone

<u>To find the volume</u>

Here, r = 4 and h = 12

Volume V = πr²h

V = 3.14 *4²*12

V = 3.14*4*4*12

Volume V = 602.88

Therefore the volume of given cone is 602.88 cube units

4 0
3 years ago
Read 2 more answers
I need help...............
V125BC [204]

Answer:

2 (a) d=3

(b) e= 21

(c) f= 4

3.(A) 3cm

This is your answer

6 0
2 years ago
Hi can someone help please​
ankoles [38]

Answer:

put ur protactor from the middle to where its up to then look at where the line is and you will get your answer

5 0
3 years ago
Read 2 more answers
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