Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
If m= a number that can be square rooted to give a whole number
Answer:
c
9x^ - 30x - 25
.............................
Answer:
The value of x is 16.
Step-by-step explanation:
We are given the following in the question:
c and d are complementary angles.
Measure of c = 
Measure of d = 26
Since c and d are complementary, we can write from property of complementary:
Putting values, we get,
Thus, value of x is 16.
Answer:
Start on 8 the floor
Up 6 floors
Descend 10
Above 2
Increase 15
Down 3
Ascend 7
Lessen 5 floors
Up 2
The opposite of -2 floors
Drop 15
Descend 8
Ascend 10
Rising 6 floors
Decrease 2
Drop 3
Sink 2 floors
The opposite of -13
Decrease 7
Lower 14
Advance 1 floor
Increase 4
It is time for the crew to clock out for the day. What floors do they still have to finish? Draw a visual representation of the problem. Explain how you solved it.
Answer:
Step-by-step explanation:
Step-by-step explanation:
