You just find the quartiles which are 62 and 50 the mines them which equals 12.
Answer: D
Explanation:
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m represents slope
x1 and y1 represents coordinates of the point that the line passes.
From the information given, the equation of the path of the old route is
y = 2x/5 - 4
Recall, the equation of a line in the slope intercept form is expressed as
y = mx + c
By comparing both equations,
slope, m = 2/5
If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then
m = 2/5
x1 = Q
y1 = P
The equation of the new route be
y - P = 2/5(x - Q)
Answer:
Option (c) is correct.
Step-by-step explanation:
Given equation is :
![s=\dfrac{a+b+c}{3}](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7Ba%2Bb%2Bc%7D%7B3%7D)
The equation can be solved for a as follows :
Step 1.
Cross multiply the given equation
![3s=a+b+c](https://tex.z-dn.net/?f=3s%3Da%2Bb%2Bc)
Step 2.
Now subtract b on both sides
3s-b = a+b+c-b
3s-b = a+c
Step 3.
Subtract c on both sides
3s-b-c=a+c-c
⇒ a=3s-b-c
The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".
Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :
![{x}^{2} + 10x + 21](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%2B%2021)
![= {x}^{2} + 3x + 7x + 21](https://tex.z-dn.net/?f=%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%2B%207x%20%2B%2021)
Next you have to take out the common factors and factorize it :
![{x}^{2} + 3x + 7x + 21](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%2B%207x%20%2B%2021)
![= x(x + 3) + 7(x + 3)](https://tex.z-dn.net/?f=%20%3D%20x%28x%20%2B%203%29%20%20%2B%20%207%28x%20%2B%203%29)
![= (x + 7)(x + 3)](https://tex.z-dn.net/?f=%20%3D%20%28x%20%2B%207%29%28x%20%2B%203%29)
736334.49 inches
if the measurements given are 333333 and 656565 then to find the diagonal length. we can use the Pythagorean theorem.
333333^2 + 656565^2 = x
take the square root of 333333^2 + 656565^2 to get 736334.49