Answer:
Option D
Step-by-step explanation:
The complete question is attached herewith.
Also the options for the same are as follows -
What is the meaning of the slope of the trend line shown on the scatterplot?
A A plant grows about 3 inches for every 2 hours of sunlight it receives.
B A plant grows about 2 inches for every 3 hours of sunlight it receives.
C A plant grows about 3 inches for every 1 hour of sunlight it receives.
D A plant grows about 1 inch for every 3 hours of sunlight it receives.
Solution
If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.
At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.
Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.
Hence, option D is correct
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!
Answer:
option d.
Step-by-step explanation:
<em>Multiply the top equation by 3 and the bottom equation by 4.</em>
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17
Answer:
−1/3y+−4/3
Step-by-step explanation:
We need to solve for x.
How? Easy! :D
Step one: Flip the equation. (In class we call it the 'flip-flop'.) When you do this, you should have your equation look like this:
−3x−4=y
Step two: Add 4 to both sides of the equation. When you do this step, your problem should look like this:
−3x−4+4=y+4
−3x=y+4
Step three: Divide both sides by -3.
-3x/-3 = y+4/-3.
Step four: Wrap-up. What the answer is.
x = -1/3y + -4/3
Final step: OUR ANSWER!
x = -1/3 + -4/3
Hope this helped! :D