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3 years ago

Expand & simplify(x + 1)(x + 1)

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

Answer: x^2+2x+1

Step-by-step explanation:

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Which expression is equivalent

babunello [35]

Answer:i think its the second choice sorry if im wrong

Step-by-step explanation:

6 0

2 years ago

Area of a rectangle with a width of 36cm and a perimeter of 80cm

grandymaker [24]

The area would be 144cm^2.

In order to find the area, we need to know the length of the rectangle. We can find that using the perimeter formula.

2l + 2w = P

2l + 2(36) = 80

2l + 72 = 80

2l = 8

l = 4

So now that we know the length is 4, we can find the area using that formula.

A = lw

A = (4)(36)

A = 144

7 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

2 years ago

ANSWER QUICK AND I WILL MAKE YOU BRAINLIEST

alekssr [168]

Answer:

The width of the window should be $7.6\ ft$ and the height of the window should be $3.8\ ft$

Step-by-step explanation:

we know that

The circumference of a semicircle (window) is equal to

$C=\pi r$

we have that

$C=12\ ft$

$\pi=3.14$

substitute and solve for r

$12=(3.14)r$

$r=12/3.14=3.8\ ft$

the width of the window is equal to the diameter of the semicircle

The width of the window should be $3.8*2=7.6\ ft$ and the height of the window should be $3.8\ ft$

4 0

3 years ago

If a certain number is multiplied by five, the result is the same as twenty-one plus twice the original number. What is the valu

expeople1 [14]

7
7 times 5 = 35
21 + 14 (7*2) = 35

6 0

3 years ago

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Expand & simplify(x + 1)(x + 1)​

Expand & simplify(x + 1)(x + 1)