Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
They are running 13.1 miles per hour since half of 26.2 is 13.1
Answer: 1 1/4feet
Step-by-step explanation:
From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.
The depth of the water after 5 hours will be:
= 5 - 3/4(5)
= 5 - 15/4
= 5 - 3 3/4
= 1 1/4 feet
Answer:
The length of AB = 97/3 units
Step-by-step explanation:
We know that a rhombus is a quadrilateral whose four sides all have the same length.
Thus, the equation becomes
7x+2 = 4x+15
7x-4x = 15-2
3x = 13
x = 13/3
So, the length of CD = 7x+2 = 7(13/3)+2
= 91/3 + 2
= 97/3
And, the length of BC = 4x+15 = 4(13/3) + 15
= 97/3
- We already know that a rhombus is a quadrilateral whose four sides all have the same length.
Thus, the length of AB = 97/3 units
