Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation
are given by

where 






That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= 
Area of a square = Length^2
Thus, the length of the sign is
inches
The logarithm written as a sum of logarithm and simplified as much as possible is 
<h3>Simplifying Logarithms</h3>
From the question, we are to write the given logarithm expression as a sum or difference of logarithms
The given logarithm is

This can be written as

From one of the rules of logarithm, we have that

Thus,
becomes

This can be further simplified into


If desired, this can be further simplified into




Hence, the logarithm written as a sum of logarithm and simplified as much as possible is 
Learn more on Simplifying logarithms here: brainly.com/question/17851187
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<h2>
Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>
Elias will fold 210 packing boxes in "70 mìnutes".</h2>
Step-by-step explanation:
Given,
Dionne can fold 175 packing boxes = 50 mìnute and
Elias can fold 120 packing boxes = 40 minutes
To find, the total time each person to fold 210 packing boxes = ?
∵ Dionne can fold 175 packing boxes = 50 mìnute
∴ In 1 mìnute, Dionne can fold number of packing boxes =
= 3.5
∴ Dionne can fold 210 packing boxes =
minutes
= 60 minutes
Also,
Elias can fold 120 packing boxes = 40 minutes
∴ In 1 mìnute, Elias can fold number of packing boxes =
= 3
∴ Elias can fold 210 packing boxes =
minutes
= 70 minutes
Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and
Elias will fold 210 packing boxes in "70 mìnutes".
Answer 10:
<em>X </em>= (5,0)
Answer 11:
<em>AB</em> = 11.18
Answer 12:
<em>N/A</em>
Step-by-step explanation:
So the formula to workout the area of a rectangle is height X width
so 11/3 x 5/8
which is 55/24 ft if they want a mixed number then... 2 
hope this helps