the problem is a pattern that multiplies by two and subtracts one each time.
3x2=6 6-1=5 5x2=10 10-2=9 9x2=18 18-1=17 17x2=34 34-1=33
The probability of 3 failures or less is about 0.83886, so that is the probability the machine will be working.
Answer:
<h2>height = 12 cm</h2>
Step-by-step explanation:
Area of a triangle is given by

where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's

Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
<h3>height = 12 cm</h3>
Hope this helps you
Answer:
f ( x ) = ( x - 5 ) ² - 20
Step-by-step explanation:
1- Add the same value to both sides
f ( x ) = x ² - 10x + 5
2- Add 25 to the expression
f ( x ) + ? = x ² - 10x + ? + 5
3- Add 25 to the left-hand side
f ( x ) + ? = x ² - 10x + 25 + 5
4- Factor the expression
f ( x ) + 25 = x ² - 10x + 25 + 5
5- Move the constant to the right
f ( x ) + 25 = ( x - 5 ) ² + 5
6- Calculate
f ( x ) = ( x - 5) ² + 5 - 25
It will help me a lot if you count me as brainlist anyways good luck!
Answer:
The correct answer is:
D) Q(2,1) R(3,-4) S(5,-3) T(4,0)
Step-by-step explanation:
When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.
Then the new coordinates of the parallelogram are:
Q(2,-1) R(3,-4) S(5,-3) T(-4,0)