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Sonja [21]
3 years ago
15

The perimeter of a rectangular field is 74 yards. The length of the field is 27 yards. What is the width in yard of the field

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

width = 10 yds

Step-by-step explanation:

perimeter = 2L + 2W

74 = 2(27) + 2W

74 = 54 + 2W

subtract 54 from both sides of the equation:

2W = 20

divide both sides by 2:

W = 10

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If AC = 10 and CG = 21, find AG.
stellarik [79]
The answers 59 because 90 degrees is the angle so 21 plus 10 equals 31 and 90-31 equals 59
8 0
3 years ago
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

y = 5x + 12

See attachment for table and options

First, we calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) = (2,29)

(x_1,y_1) = (4,53)\\

So, we have:

m = \frac{53- 29}{4 - 2}

m = \frac{24}{2}

m = 12

The equation is then calculated using:

y = m(x -x_1) + y_1

This gives:

y = 12*(x -2) + 29

y = 12x -24 + 29

y = 12x+5

So, we have:

y = 5x + 12 --- The given equation

and

y = 12x+5 --- The equation of the table

An equation is represented as:

y = mx + b

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: y = 5x + 12

Rate of change = 5

y intercept = 12

For the table: y = 12x+5

Rate of change = 12

y intercept = 5

In conclusion:

(a) y = 12x+5 has the greater rate of change:

and

(f) y = 5x + 12 has the greater y intercept

8 0
3 years ago
Which best describes how to add 9.73 and 21.6?
Dominik [7]

Answer:

c

Step-by-step explanation:

from left 2 right it would be better..

3 0
3 years ago
Factorise 3ab²+15a²b³+21a³b²​
evablogger [386]

Given:

The expression is

3ab^2+15a^2b^3+21a^3b^2

To find:

The factor form of the given expression.

Solution:

We have,

3ab^2+15a^2b^3+21a^3b^2

Taking out the common factors, we get

3ab^2(1+5ab+7a^2)

It is clear that (1+5ab+7a^2) cannot be factories further.

Therefore, the factorized form of the given expression is 3ab^2(1+5ab+7a^2).

5 0
3 years ago
Which equation describes the line that contains (1,5) and has a slope of 2
lilavasa [31]
In order to write an equation you need to find the y-intercept. the way you do this is by plugging in the value 2 and the point into y=mx+b and solving for b. once you plug everything in you get 5=2(1)+b. solving from here you get b=3. putting everything together you get y=2x+3
3 0
3 years ago
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