You have to shoe that the angles between adjacent sides = 90 degrees. You do do this by showing the adjacent sides are perpendicular by comparing their slopes.
Answer:
The value of x is 2 and y is (-5)
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- -7x + y = – 19
- -2x + 3y = – 19
<h3><u>To </u><u>Find</u>;</h3>
<h3><u>B</u>y<u> </u><u>Usin</u>g<u> </u><u>Elimination</u><u> </u><u>Method</u>;</h3>
First name the equation
- -7x + y = – 19 ...(1)
- -2x + 3y = – 19 ...(2)
Now, Multiply equation (1) by 3 we get,
3 × (-7x + y = – 19)
-21x + 3y = – 57
Now, Eliminate
-21x + 3y = – 57
-2x + 3y = – 19
<u>+</u><u> </u><u> </u><u> </u><u> </u><u>–</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u> </u>
-19x = -38
x = -38/-19
x = 2
Now, Put the value of x in equation (2) we get the value of y.
-7x + y = – 19
-7(2) + y = – 19
-14 + y = -19
-14 + 14 + y = -19 + 14
y = -5
Thus, The value of x is (-5) and the value of y is 2.
<h3>
<u>For </u><u>Verification</u>;</h3>
-7x + y = – 19
-7(2) + (-5) = – 19
-14 – 5 = – 19
-19 = -19
-2x + 3y = – 19
-2(2) + 3(-5) = – 19
-4 – 15 = – 19
-19 = -19
Here, L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist 72</u>
4 x 7 = 28
49 x 13 = 637
28/637
=4/91
Answer:
The rate change of volume of the cylinder is
cubic inch per second.
Step-by-step explanation:
Given that the radius of right circular cylinder is
and its height is
where t is time in second and the dimension are inches.

The base area of the cylinder is A= 



Differentiating with respect to t


Differentiating with respect to t


The volume of cylinder is V= Ah
∴V= Ah
Differentiating with respect to t




The rate change of volume of the cylinder is
cubic inch per second.