9514 1404 393
Answer:
(a) 31.5 in²
Step-by-step explanation:
The area of a rhombus is half the product of the lengths of the diagonals.
A = 1/2(d1)(d2)
A = (1/2)(7 in)(9 in) = 31.5 in²
There are 31.5 in² of space in the rhombus for engraving.
Just cut the piece into two and multiply all the sides
Answer:
y =
x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m =
=
=
, thus
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y =
x - 11 ← equation of line
The amount of water in the pool after t minutes is modeled by the linear function
, hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:

- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence
, and:

Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309