-x+7 (5x-3)=-21
-x+35x-21=-21
34x-21=-21
34x=0
The answer to find x or y is not possible
Answer:
-1
Step-by-step explanation:
∫x^2 -x +1 dx = x^3/3 -x^2/2 +x evaluated at 1 subtracting the value at 0
1/3 -1/2 +1 - (0/3 -0/2 +0)
5/6
Now lets find
∫x^2 -x +1 dx=x^3/3 -x^2/2 +x evaluated at 2 subtracting the value at 1
2^3/ 3 -2^2/2 +2 - (1/3 -1/2 +1 )
8/3 -2 +2 - (5/6)
8/3 -5/6
11/6
The total is 5/6 - 11/6 = -6/6 or -1
Answer:

Step-by-step explanation:
The area of the rectangle can be written as:

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

The perimeter of a rectangle can be written as:

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.


now we can substitute this 'h' into our equation of the perimeter.


and voila! we have expressed P in terms of x only.
this can be written as P as a function of x as:

Answer:
9.562
Step-by-step explanation:
Use the Heron’s Formula to find the area of a triangle when all three sides are known (SSS). In the formulas below, S represents the semi-perimeter of the triangle, and ABC are the three given sides.
You must first know the semi-perimeter (S) before you are able to calculate the area.
S= 1/2 (A+B+C)
Area = √S(S-A)(S-B)(S-C)
In your case:
<u>semi perimeter </u>
= 1/2 (9+4+6)
= 19/2
= 9.5
<u>Area </u>
= √9.5(9.5−9)(9.5−4)(9.5−6)
= √91.4375
= 9.562
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18