3 and 8 are legs of a right triangle. we are looking for the hypotenuse. therefore a²+b²=c²
3²+8²=c²
9+64=c²
73=c²
c=✓73 or about 8.544
A common way to simplify this problem would be to use an area model, or the distributive property. Using the distributive property does not require any drawing, so here goes.
(x-3)(x²+7x-8) Distribute by multiplying each of the terms in the first set of parentheses by every term in the second set of parentheses.
x³+7x³-8x-3x²-21x+24 Then combine alike terms.
8x³-3x²-29x+24 Is your final answer.
Answer:
Wait wattttttttt?
Step-by-step explanation:
Answer:
$17.56
Step-by-step explanation:
gallons*price per gallon
2.89*6.075=17.55675
but since it is dollars you round to 2 decimal units
To construct the equations for these lines, we are going to use the point-slope formula, which is:
- is the slope of the line
- is a point on the line
1)
In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)
Thus, we can "plug in" what we know into our formula to find the equation of our line:
2)
We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.
Our equations are:
1) y = 5x - 11
2) y = 9x - 5