The numbers in this problem are ordered pairs, which are points on a graph.
These are (10, 20), (-10, 20), (-10, -10), and (10, -10).
To find the area and perimeter of this shape, you must first find the distance between each point.
Distance between (10, 20) and (-10, 20):
Since the y-value remains the same here, we just have to find the difference in x-values.
This means 10 - (-10)
A negative being subtracted is the same as a positive being added.
That means 10 - (-10) is the same as 10 + 10.
10 + 10 = 20, so the distance between (10, 20) and (-10, 20) is 20 units.
Distance between (-10, 20) and (-10, -10):
The x-values are the same here so just find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between the (-10, 20) and (-10, -10) is 30 units.
Distance between (-10, -10) and (10, -10):
The y-values are the same so just find the difference between the x-values.
10 - (-10) = 10 + 10 = 20
The distance between (-10, -10) and (10, -10) is 20 units.
Distance between (10, -10) and (10, 20):
The x-values are the same so find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between (10, -10) and (10, 20) is 30 units.
So now we know the side lengths of the room are 20 units, 30 units, 20 units, and 30 units.
To find the perimeter, add all the side lengths together.
20 + 30 + 20 + 30 = 100
The perimeter of the room is 100 units.
To find the area, multiply the length by the width.
The length is 20 units and the width is 30 units.
20 • 30 = 600
The area of the room is 600 units.
Final answers:
Perimeter = 100
Area = 600
Hope this helps!
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4
By hypothesis, x = -4, y = 3 and z = 2
Let's replace each letter by its given value:
2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9
So wrong. The correct answer is not -3, but 9.
Hope this helps! :D
It will take 19 years and 6 months for the account value to reach 2900 dollars
Step-by-step explanation:
Given
Principal amount = 1400 dollars
Rate = 5.5 %
Final value = A = 2900
We have to find t
So,
The formula for simple interest is:
Putting values
Dividing both sides by 0.055
Rounding off to nearest tenth
19.5 years
Hence,
It will take 19 years and 6 months for the account value to reach 2900 dollars
Keywords: Interest, simple interest
Learn more about interest at:
#LearnwithBrainly
Answer:
They are any number in front of a variable so like 4x 7y or 8z. 4, 7 and 8 are the coefficients. A number by itself is a constant. For example 3, 1 and 9 are constants.
Answer:
48%
Step-by-step explanation:
(24/50)2
= 48/100
= 48%
