Answer:
a = 2
Step-by-step explanation:
In an AP the difference between consecutive terms is common (equal), thus
t₂ - t₁ = t₃ - t₂ , that is
2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides
2a + 1 - a - 1 = 4a - 1 - 2a - 1
a = 2a - 2 ( subtract 2a from both sides )
- a = - 2 ( multiply both sides by - 1 )
a = 2
Answer:
see below
Step-by-step explanation:
a. Has a slope of 2 and passes through (10,17)
Using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the equation
17 = 2(10)+b
17 = 20+b
Subtract 20 from each side
17-20 =b
-3 =b
y = 2x-3
b. passes through (1,-4) and (2,-5)
First find the slope
m= (y2-y1)/(x2-x1)
= (-5- -4)/(2-1)
= (-5+4)/(2-1)
= -1/1
= -1
Using the slope intercept form
y = -x+b
Substitute a point into the equation
-4 = -1(1) +b
-4 = -1+b
Add 1 to each side
-3 = b
y = -x+3
The first step to do is to calculate first the total
household waste generate for the two years. That is:
total waste generated = 23,400,000 tons + 48,100,000 tons
total waste generated = 71,500,000 tons
Now, to write either a very big number or a very small number
in a form of scientific notation simply means to write it in a decimal form
such as: 12.5 * 10^10
Now to write 71,500,000 in scientific notation, the decimal
form is 7.15, however we still need to find out the * 10^n factor. The value of
n depends on the number of places the decimal point was moved. If the movement
was from right to left, the value of n is positive and if the movement was from
right to left, the value of n is negative. Since the decimal point was moved by
7 places, hence the complete scientific notation is:
7.15 * 10^7 tons
Answer:
v = 86
Step-by-step explanation:
v + 6 = 92
v + 6 = 92
-6 -6
v = 86
