Answer:
(8,-3)
Step-by-step explanation:
I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.
Hope this helps!
Answer:
11.25cm^2
Step-by-step explanation:
given the area of the rectangle as 40cm^2, we can get the width of the rectangle.
Area =Length x width
40cm^2 = 8cm x width
we can divide both sides 8 to be left with the width
40/8 = 5cm
so the width is 5cm which is equal to the height of the triangle.
Area of BDC = 1/2 x base x height
BDC = 1/2 x 4.5 x 5
=11.25cm^2
Answer:
x = -5
Step-by-step explanation:
Find the gradient:
- m = change in y ÷ change in x
- m = (7 - -7) ÷ (-5 - -5)
- m = 14 ÷ 0
- m = 0 - There is no gradient, and it is a vertical line
The equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes
Hope this helps!
Answer:
That means the missing side length is 15
Step-by-step explanation:
We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.
Answer:
8 and 2.529
Step-by-step explanation:
The computation of the mean and the standard deviation is shown below:
Given that
Total number of questions is n = 40
The Probability of correct answer is p = 
So, the probability of the wrong answer is q = 
= 
Moreover, this is the binomial distribution
Based on the above information
The mean is
= 8
Now the variance is
= 
So, the standard deviation is
= 2.529
hence, the mean and the standard deviation is 8 and 2.529 respectively
