Answer:
y = -3x + 7
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m(x - x_1)
First find the slope
With eqn y = 1/3x - 3
Note, if two lines are perpendicular, their slope will be negative reciprocal
slope = m = -3/1
Using y - y_1 = m(x - x_1)
With point ( 3, -2)
x_1 = 3
y_1 = -2
y - (-2) = -3/1(x - 3)
y + 2 = -3/1(x -3)
Open bracket
y + 2 = -3(x - 3)/1
y + 2 = (-3x +9)/1
y = (-3x + 9 )/1 - 2
LCM is 1
y = -3x + 9 - 2
y = -3x + 7
The equation of the line is
y = -3x + 7
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Answer:
d) 4.
Step-by-step explanation:
Let Santiago be x years old today.
Then Juan is x + 8 years old.
In 4 years Santiago will be x + 4 years.
In 4 years Juan will be x + 12 years.
From the given information:
x + 4 = 0.5(x + 12)
x = 0.5x + 6 - 4
0.5x = 2
x = 2 / 0.5
x = 4.
Answer: Yes it is possible
Here's an example
Original set = {1,2,3,5,7,11}
Subset A = {1,2,3}
Subset B = {3,5,7}
The number 3 is in both subsets A and B.
{1,2,3} is a subset of {1,2,3,5,7,11} since 1,2, and 3 are part of the original set. Similar reasoning applies to subset B as well.
Something like {1,2,9} is not a subset because 9 is not found in the original set.
