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2 years ago

11

Gary is building an outdoor pen in the shape of a rectangle for his dog. He will use 24 meters of fencing. The pen will be 3 met

ers. How long will the pen be?

1 answer:

tatuchka [14]2 years ago

6 0

if the pen is 3 m wide, the pen will be 9 meters long

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Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

Morgarella [4.7K]

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2

The only one to do that is diagram A

Step-by-step explanation:

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2 years ago

An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th

valina [46]

Amount to be paid back = $ 88,624.36

<u>Step-by-step explanation:</u>

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

$A=P\left(1+\frac{r}{n}\right)^{n t}$

Plugin the values as,

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$A=\$ 88,624.36$

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2 years ago

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3 years ago

given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis.

den301095 [7]

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3 years ago

What is the maximum area for a rectangle whose perimeter is 48 meters?

MakcuM [25]

Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length) + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W (divide both sides by 2)

24 = L + W

or

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

A = -W² + 24W

Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a

In this case, b = 24 and a = -1

-b/2a = -24/[ 2(-1) ] = 12

Hence for A to be maximum A(max) = 12m² (Answer)

5 0

3 years ago