Answer:
0 less-than-or-equal-to x less-than-or-equal-to 20;
0 less-than-or-equal-to y less-than-or-equal-to 60
Step-by-step explanation:
The range in values of x is from 2 to 17, so a suitable window would be 0 to 20.
The range in values of y is from 5 to 53, so a suitable window would be 0 to 60.
0 ≤ x ≤ 20
0 ≤ y ≤ 60
Answer:
<u>2.65 cm</u>
Step-by-step explanation:
Applied Formula :
- Curved Surface Area = πrl
Solving :
- 60 = 3.14 x 4 x l
- l x 12.56 = 60
- l = 4.8 cm
- h² = l² - r²
- h² = (4.8)² - (4)²
- h = √23.04 - 16
- h = √7.04
- h = <u>2.65 cm</u>
Alright to solve this problem you must start by distributing the -1 to everything in the parenthesis. To distribute, multiply both the m variable and the 3 by a -1.
This simplification results in:
34 = -m - 3
Next, isolate your -m. To do this, add 3 on both sides of the equal sigh to keep everything balanced.
This gives you:
37 = -m
Since you want to find the value of m and not -m, flip the sign of the value in your answer by moving the negative parenthesis to the integer rather than the variable.
Like this: -(37) = m
Then, distribute the negative to your integer value.
Your simplified equation now looks like this:
-37 = m
This leaves your final answer value for m as a -37.
I hope this is correct and helpful to you! :)
Answer:
900.
Step-by-step explanation:
1) the initial area is: A₀=0.5*base*h;
2) the final area is: A=0.5*(5*base)*(5*h).
It means, that 25A₀=A, then A=900 [cm²].
9514 1404 393
Answer:
(x -y -1)(x +y)
Step-by-step explanation:
The expression can be factored by grouping.
x^2 -y^2 -x -y = (x^2 -y^2) -(x +y)
= (x -y)(x +y) -1(x +y)
= (x -y -1)(x +y)
_____
It is useful to know that a difference of squares is factored as ...
a^2 -b^2 = (a -b)(a +b)
