Answer:
60 feet
Step-by-step explanation:
Perimeter is the sum of the four sides of a rectangle
the formula for the perimeter of a rectangle = 2 x (length + breadth)
2 x (10 + 20)
2 x (30)
= 60 feet
Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet
Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9) 
Grouping similar terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
11) 
Rearranging the terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
<u>Multiply:</u>
19) 
Multiplying both fractions:

Dividing numerator and denominator by 3 and simplifying:
This is the answer
21) 

Operating with cross product:


Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29) 

Simplifying:
This is the answer
33) 

Factoring numerator and denominator:

Simplifying:
This is the answer
37) 

Applying the distributive property in numerator and denominator:

Grouping similar terms and factoring by common factor:

Dividing by
in numerator and denominator and simplifying:
This is the answer
Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.