Answer:
3rd option
Step-by-step explanation:
The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².
a) (1/2)(4)(2x-3) ≤ 10
b) 4x -6 ≤ 10 . . . . . simplify
... 4x ≤ 16 . . . . . . . .add 6
... x ≤ 4 . . . . . . . . . divide by the coefficient of x
c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.
The triangle should be no more than 5 in high to have an area less than 10 in².
37/40 37 divide it by 25 and it comes out 37 and if you divide 25 into 1000 in comes out to be 40
Answer:
<em>The slope is:</em>
![m=-\frac{3}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
The slope m of a line is calculated using the following formula
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Where the points
and
are two points belonging to the straight line
Notice in the graph that the line passes through the points
(0, 2) and (2, -1)
Then the slope is:
![m=\frac{-1-2}{2-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-2%7D%7B2-0%7D)
![m=\frac{-3}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3%7D%7B2%7D)