Answer:
2i or -2i
Step-by-step explanation:
2x² = -8 First, clear x.
x² = -8/2 Solve
x² = -4 Now, eliminate the square of x by solving the square root of -4.
x = √-4
x = 2i or -2i Is an imaginary number.
Let x represent the number of shirts. Let y represent the number of pens.
If shirts are on sale for $11.99 each, then x shirts cost $11.99x.
If pants are on sale for $12.99 each, then y pants cost $12.99y.
The total cost is $(11.99x+12.99y).
Sarah can spend up to $65. Then an inequality that represents this situation is
11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)
or
11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).
Answer:
A
Step-by-step explanation:
Put brackets around the first two tems.
y = (x^2 - 8x) + 29
Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.
1/2 (- 8) = - 4
(- 4)^2 = 16
y = (x^2 - 8x + 16) + 29
Subtract 16 outside the brackets.
y = (x^2 - 8x + 16) + 29 - 16
Do the subtraction
y = (x^2 - 8x + 16) + 13
Represent what is inside the brackets as a square.
y = ( x - 4)^2 + 13
The answer is A
we know that
The formula to calculate the slope between two points is equal to
<u>Part a) Find the slope of line PQ</u>
substitute in the formula
Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>
<u>Part b) Find the slope of line MN</u>
substitute in the formula
Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term 
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
Answer:
16 crates
Step-by-step explanation:
-This is a division problem.
-Let x be the number of crates that will fit in to the box car.
-To solve x, we divide the volume of the boxcar by the volume of one crate:
Hence, 16 crates will fit in the boxcar.
