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2 years ago

Draw a line through the point (2, 0) with a slope of 1/4

Mathematics

1 answer:

Nastasia [14]2 years ago

7 0

Answer:

y = 1/4 x - 1/2

Step-by-step explanation:

Remark

The general equation for a line is y = mx + b

You know that m = 1/4. The problem is what do you do about (2,0)?

Solution

y = 1/4 x + b Let x = 2 when y = 0

0 = 1/4 * 2 + b multiply 2 * 1/4

0 = 1/2 + b Subtract 1/2 from both sides

b = - 1/2

equation y = 1/4 x - 1/2

Graph

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Number 12 please help! Thanks!

almond37 [142]

#1. 712.5
#2. 1185
#3 .517.5

7 0

2 years ago

A page was missing from a 72 - page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missin

morpeh [17]

The numbers 1 to 72 add up to (1+72) x 72/2 = 73 x 36 = 2628
If we take away what Josh got we have 2628 - 2521 = 107
Pages in a book are odd on the first side and even on the second, so pages 11 and 12 are on the same sheet.
107 / 2 = 53.5 so the missing page had 53 on one side and 54 on the other side.
The remaining pages would have been numbered 1, 2, 3, ..., 51, 52, 55, 56, ... 71, 72

8 0

3 years ago

cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

How can 17/20 and 7/4 make a sum of 9/10

Anika [276]

Answer:

the answer is $\frac{35}{20}$