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Oliga [24]
3 years ago
7

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 a

nd asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

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Solve the equation using the quadratic formula
amm1812

Answer:

Step-by-step explanation:

Rewrite this quadratic equation in standard form:  2n^2 + 3n + 54 = 0.  Identify the coefficients of the n terms:  they are 2, 3, 54.

Find the discriminant b^2 - 4ac:  It is 3^2 - 4(2)(54), or -423.  The negative sign tells us that this quadratic has two unequal, complex roots, which are:

     -(3) ± i√423        -3 ± i√423

n = ------------------- = ------------------

             2(2)                      4

3 0
2 years ago
Round these numbers to the nearest ten and 100 for brainlies 50 points
Dmitrij [34]

Answer:

1. 650, 700 2. 840, 800 3. 370, 400 4. 80, 100 5. 620, 600 6. 250, 200 7. 970, 1,000 8. 330, 300 9. 450, 400 10. 210, 200 11. 100, 100 12. 710, 700

Step-by-step explanation:

4 0
2 years ago
Find the value of L. Perimeter =22. Width is 5. So what is L. On a square
SSSSS [86.1K]
P= L+W 
P= Perimeter, L= Length  and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.
 

4 0
3 years ago
Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height
sweet [91]

Answer:

The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Step-by-step explanation:

for derby dragon;

mean height = 72 inches

standard deviation = 1.2 inches

for aviston aces:

mean height = 70.8

standard deviation = 0.7 inches

for balwin bears;

mean height = 73 inches

standard deviation = 1.0 inches

the mean height of aviston aces < mean height of derby < mean height of balwin bears

So on average the balwin bears are taller.

The standard deviation of derby dragon is > that of balwin bears > aviston aces.

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6 0
3 years ago
5/8=1/2/x<br> solve for x.
just olya [345]

Answer:

4/5

Step-by-step explanation:

5/8=1/2/x

x=(1/2)/(5/8)

x=(1/2)(8/5)

x=8/10

simplify

x=4/5

7 0
3 years ago
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