Answer:
The statement is false
Step-by-step explanation:
Area(A)= lw
perimeter(P)= 2w+2l= 34in
length(l)= w+5
width(w)= w
1/2 P= 17= w+l
17= w+(w+5)
17= 2w+5
2w=12
w=6 in
l= w+5
l= 6+5
l=11 in
A= lw= (11)(6)= 66in²
Answer:
Area of rectangle is 66 in².
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
Answer:
0.56457
Step-by-step explanation:
log 3 with base 7 = (Log 3)/ (Log 7) = 0.47712125 / 0.845098040014
(Log 3) / (Log 7) = 0.56457
Answer:
It will be "q+5"
Step-by-step explanation:
When you add a number and a letter you just leave them like that. If you would to have a number multiplying a letter like "5q" and something else like "3q" when you add them together you will get "5q+3q=8q" In this case you can add them together because the number is multiplying the letter.
