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3 years ago

The following table shows a proportional relationship between mmm and nnn.

Mathematics

2 answers:

DanielleElmas [232]3 years ago

8 0

Answer:

n=7m

Step-by-step explanation:

this answer is good on khan academy

Marina CMI [18]3 years ago

5 0

Answer:

70707mmm = 111nnn

Step-by-step explanation:

Using the basic equation of a line:

y = mx + c;. where m is slope and c is intercept on y axis.

Let mmm = y and nnn = x

(i) 333 = 212121m + c

(ii) 555 = 353535m + c

Making c the subject of the formula in both (i) and (ii)

c = 333 - 212121m = 555 - 353535m

353535m -212121m = 555 - 333

141414m = 222

m = 111/70707

Substitute in (i) above

c = 333 -333 = 0

Hence; y = 111/70707x + c

Finally, mmm = 111/70707 nnn

i.e. 70707mmm = 111nnn

Hope this helps.

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Use the table to complete Exercises 2 and 3.

sesenic [268]

Hello!

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3 0

3 years ago

The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference

alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

$\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6$

Therefore, the common difference is 6.

4 0

3 years ago

What is the answer to this question?

Artemon [7]

The answer is 2143.57mm

5 0

3 years ago

Solve for x and select your answer from the multiple choices.

Alchen [17]

Answer:

x=3

Step-by-step explanation:

3x+5=14

-5 -5

3x=9

/3 /3

x=3

3 0

3 years ago

Read 2 more answers

Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and give

Viktor [21]

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

$(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})$

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

$X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})$

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

8 0

3 years ago