Answer:
a) X would be marked 2 cm away from point A towards the point B
b) X would be marked 1.5 cm away from point P towards the point Q
Step-by-step explanation:
Data provided in the question:
Length of AB = 6 cm
Length of PQ = 6 cm
a) AX : AB 1 : 3
This means
on substituting the value of AB, we get
or
AX = 
or
AX = 2 cm
Hence,
X would be marked 2 cm away from point A towards the point B
b) PX: XQ 1 :3
This means
or
⇒ 3PX = XQ .............(1)
also,
PX + XQ = PQ
or
PX + XQ = 6 cm
substituting the value of XQ from (1)
PX + 3PX = 6 cm
or
4PX = 6 cm
or
PX = 
or
PX = 1.5 cm
Hence,
X would be marked 1.5 cm away from point P towards the point Q
Answer: -4
Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.
The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.
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
Radical 2 = 1.4 So 1.4 * 6 = 8.4
a^2 + b^2 = c^2
8.4^2 + 8.4^2 = square root of c
70.56 + 70.56 = 141.12 ≈ 141
Then you must find the square root of 141 which is 11.874 ≈ 11.9
Side a = 8.4
Side b = 8.4
Side c = 11.9
