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noname [10]
2 years ago
8

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}

Step-by-step explanation:

You have to find the common denominator in order to get the sum.

multiply 5 to \frac{7}{4} and you get \frac{35}{20}

then to double check the sum, subtract it.

\frac{35}{20}-\frac{17}{20}=\frac{9}{10}

hope this make sense :/

6 0
3 years ago
Find the reference angle for 697 degrees
ella [17]
The answer is c. 23 degrees. 697-360 is 337. 360-337 is 23. 
4 0
3 years ago
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