Answer:
The length would be 10ft and the width would be 8ft
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 2 since we know it is 2 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
36 = 2(x + 2) + 2(x)
36 = 2x + 4 + 2x
36 = 4x + 4
32 = 4x
8 = x
Now since we know that the width is 8ft, we can add 2ft to it to get the length, which would be 10ft.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
I am guessing that the correct form of equation
is:
f(x)
= 16,800(0.9)^x
where
x is the exponent of (0.9)
Since
we are looking for the original population and x stand sfor the number of years,
therefore x=0
substituting:
f(x) = 16,800(0.9)^0
Since (0.9)^0 would just be equal to 1. Therefore
the original population is
16,800.
Answer: B. 16,800
The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.
<h3>What is the domain of a graph?</h3>
The domain of a graph consists of all the input values shown on the x-axis.
The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.
Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).
Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.
Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373
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Answer:
The transformation of 
to 
consists in a vertical translation. The new equation is 
.
Step-by-step explanation:
Let 
. We proceed to make the required transformations on , which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)
Then, the transformation of to consists in a vertical translation. The new equation is .
