Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
The first term is 7. This is because the sequence has a pattern of increasing by 7. If the first term was 7, the second would be 14, the third would be 21. The 4th would be 28, continue to the 8th term 56.
Using a scientific calculator:
log 12 = 1.079181246
Rounded to four decimal places:
log 12 = 1.0792
Characteristic: 1; Mantis: 0.0792
Answer: OPtion B. 1.0792; 1; 0.0792
Answer:
The relationship ⇒ <u>25x + 40y = 12,250</u>
Step-by-step explanation:
The number of student memberships = x
The number of adult memberships = y
The monthly membership fee for a student = $25
The monthly membership fee for an adult = $40
The total fee = 25x + 40y
Al's Athletic Club receives $12,250 in membership fees for the month of January.
So, the relationship between x and y is:
<u>25x + 40y = 12,250</u>