Because algebra means finding the unknown
it is usually used in real life
for example if if 1/2 of the legnth of a line is 8 then what is the legnth
so then 1/2 x=8 and that is algebraic
since it has x, or an unknown in it, it is an algebraic expression
let x = the distance from Delany's house to the mall
so half the distance would be 1/2x
then it is 5 miles less than that so you would subtract 5 to give you 1/2x-5
and that is more than 6 miles so you get 1/2x-5>6
You would start by finding the area of the circle and then finding the area of the rectangle. After finding both, subtract the area of the rectangle from that of the circle. <span />
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
2x+8 is equivalent to 4x+3-2x+5
Step-by-step explanation:
4x+3-2x+5
4x+2x+3+5
2x+8