Answer:
Step-by-step explanation:
<u>Use the slope formula:</u>
10.
- m = (6.24 - 3.27)/(5 - 2) = 2.97/3 = 0.99
11.
- m = (240 - 360)/(3 - 1) = -120/2 = -60
12.
- m = (8.84 - 6.09)/(7 - 2) = 2.75/5 = 5.5
Answer:
<em>2 solutions</em>
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
<em>Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2</em>
Answer:
To write as a scientific notation in this problem, just make something 0.0 x 10n
In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.
It's three!
Move the decimal point left to 3 places to make 5.78. Then, n is the number of decimal places you moved:3
Same goes to the case 0.034. You need to make something 0.0 x 10n
Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!
But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).
Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.
Step-by-step explanation:
Hope this helps you.
:)
<span>The dimension of the rectangle would be length=#4/sqrt3# and width =4-#4/3= 8/3#
Explanation:
Let one vertex on the x axis be x, then the other vertex would be -x. Length of the rectangle would be thus 2x and width would be #4-x^2#
Area of the rectangle would be A=#2x(4-x^2)= 8x-2x^3#
For maximum area #(dA)/dx=0=8-6x^2#, which gives x=#2/sqrt3#
The dimension of the rectangle would be length=#4/sqrt3# and width =4-#4/3= 8/3#
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