Slope is equal to the change in y over the change in x,<span> or 'rise over run'.
</span><span>m=change in y/change in x
</span>The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise<span>).
</span><span>m=y^2−y^1/x^2−x^1
</span>Substitute in the values of x and y into the equation to find the slope<span>.
</span><span>m= 1/2 −(− 3/2 )/ 3/5 −( 2/10 )
</span><span>Simplify.
</span><span>m=5
The slope is 5</span>
12 / 4 = 3. That means that 3 lots of 4 go into 12. If the 2 fractions are equivalent, then the numerator (the top number) for 3/4 times by 3 should equal the numerator for 11/12. However, 3 X 3 = 9. 9/12 is not the same as 11/12.
Answer:
Step-by-step explanation:
(85+92+95+x)/4
=90
(272+x)/4
=90
90×4=360
272+x=360
x=360-272=88
so it's the lowest score
Answer:
Solution set= {(3,-9)}
Step-by-step explanation:
x² +6x-27=0
x² +9x-3x-27=0
x(x+9) -3(x+9)=0
(x-3)(x+9)=0
x-3=0; x+9=0
x=3; x=-9
Answer:
Side of 40 and height of 20
Step-by-step explanation:
Let s be the side of the square base and h be the height of the box. Since the box volume is restricted to 32000 cubic centimeters we have the following equation:
Assume that we cannot change the thickness, we can minimize the weight by minimizing the surface area of the tank
Base area with open top
Side area 4hs
Total surface area
We can substitute
To find the minimum of this function, we can take the first derivative, and set it to 0