A rectangular garden is 6 feet long and 4 feet wide. a second rectangular garden has dimensions that are double the dimensions of the first garden. what is the percent of change in perimeter from the first garden to the second garden?

Answers

Answer 1

Answer: I hope this helps you

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determine the domain of the function. f(x) = sqrt 9 - x x ≤ 9 all real numbers except 9 all real numbers x > 9

Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answers

$(1-3i)(1-i)(1+i)(1+3i)=\n(1^2-(3i)^2)(1^2-i^2)=\n(1+9)(1+1)=\n10\cdot2=20$

Answer:

$\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}$

Step-by-step explanation:

$(1-3i)(1-i)(1+i)(1+3i)\n\n\text{use the commutative property}\n\n=(1-3i)(1+3i)(1-i)(1+i)\n\n\text{use the associative property}\n\n=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\n\n\text{use}\ (a-b)(a+b)=a^2-b^2\n\n=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\n\n=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\n\n\text{use}\ i=√(-1)\to i^2=-1\n\n=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\n\n=\bigg(1+9\bigg)\bigg(1+1\bigg)\n\n=(10)(2)\n\n=20$

The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.

Answers

Answer:

74%

Step-by-step explanation:

Solve by using the perfect squares method.x2 + 16x + 64= 0
a. –8
b. –16
c. 8
d. 16

Answers

x² + 16x + 64 = 0
x² + 2 * x * 8 + 8² = 0

Now, sing the formula (a + b)² = a² + 2ab + b² , we get,

(x + 8)² = 0

Square rooting on both sides, we get,

x + 8 = √0

x + 8 = 0

x = - 8 <== that's your answer!!!

x²+16x+64=(x+8)² (because (a+b)²=a²+2ab+b² => perfect square)
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8
That's a.
Hope it helps!

a rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation(x+5) x=104 represents the situation, where x represents the width of the rectangle. (x+5) x=104 x2+5x-104=0. Determine the solutions of the equation. What solution makes sense for the situation?

Answers

Answer:

x=8

Step-by-step explanation:

Area of a rectangle=length×width

Area=104

Width=x

Length=5+x

104=x*(5+x)

104=5x+x^2

104-5x-x^2=0

x^2+5x-104=0

Can also be written as

-x^2-5x+104=0

Solve the quadratic equation using formula

−x2−5x+104=0

using the Quadratic Formula where

a = -1, b = -5, and c = 104

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(104)/2(−1)

x=5±√25−(−416)/−2

x=5±√441/−2

The discriminant b^2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=5±21/−2

x=-26/2 or 16/2

x=-13 or 8

The value of x can't be negative

So, x=8 is the answer

The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.

B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .

C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .

D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.

E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150)

Answers

Final answer:

This question involves interpreting a scatterplot, assessing direction, form, strength, and unusual observations possibly. Without seeing the specific scatterplot it's impossible to conclusively decide the correct answer.

Explanation:

Without a specific scatterplot to analyse it's not possible to definitively select the right answer. However, this appears to be a data interpretation question commonly found in a statistics unit. We'll go through some basics. If the points on the scatterplot tend to rise from left to right, that's a

positive association. If all points lie on a straight line or near, it's linear. If the points are close to the line, the correlation is

strong. An unusual observation often refers to an outlier that doesn't fit the general pattern of the scatterplot.

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Answer:

Step-by-step explanation:

i took the test

Which expression finds the measure of an angle that is coterminal with a 126° angle?A. 126° + (275n)°, for any integer n
B. 126° + (375n)°, for any integer n
C. 126° + (450n)°, for any integer n
D. 126° + (720n)°, for any integer n

Answers

The expression that gives an angle that is coterminal with 126 is 126 + 720n. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression will give an angle which when it is drawn the terminal sides are on the same location with the 126 angle.

The option (D) 126° + (720n)°, for any integer n is correct for any integer n.

What is coterminal angles?

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle of 126 degree

As we know from the definition of the coterminal angle.

If any angle θ the coterminal angles are:

= θ + 360n (for any integer n)

Plug n = 2n

= θ + 720n (for any integer n)

Also represents the coterminal angle.

Thus, the option (D) 126° + (720n)°, for any integer n is correct for any integer n.

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