Answer:
1) The value of
is 12.
2) The length of the diagonal is 49.
Step-by-step explanation:
1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:
(1)
We need some algebraic handling to determine the value of
:


![[5+(-2)] \cdot x = 36](https://tex.z-dn.net/?f=%5B5%2B%28-2%29%5D%20%5Ccdot%20x%20%3D%2036)


The value of
is 12.
2) If we know that
, then the length of the diagonal (
) is:


The length of the diagonal is 49.
Answer:
Option d. 
Step-by-step explanation:
we know that
If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality
Verify each case
case a) 
we have

Substitute the value of x and the value of y in the inequality and then compare the results

-----> is not true
therefore
the ordered pair is not a solution
case b) 
we have

Substitute the value of x and the value of y in the inequality and then compare the results

-----> is not true
therefore
the ordered pair is not a solution
case c) 
we have

Substitute the value of x and the value of y in the inequality and then compare the results

-----> is not true
therefore
the ordered pair is not a solution
case d) 
we have

Substitute the value of x and the value of y in the inequality and then compare the results

-----> is true
therefore
the ordered pair is a solution
<span>The sum of the first 35 numbers in the arithmetic series </span>124 + 133 + 142 + 151 + ⋯ is 9695. The correct answer between
all the choices given is the fourth choce or letter D. I am hoping that this
answer has satisfied your query about and it will be able to help you.
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
X is minus 30 over 7
So you can cross multiply and multiply the values.
Then you can solve it like a normal equation