Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x , the length of the sides of the original deck.

Answers

Answer 1
Answer:

The length and width of the new deck in terms of x x are (x + 2) feet and (x + 1) feet respectively.

Step-by-step explanation:

Step 1:

The side length of the original deck in the shape of a square was x feet.

Since it was a square, all the sides would measure x feet.

Now, the square deck is converted into a rectangular deck.

Step 2:

The side length of the original deck was x feet. 1 foot of deck is added to the side length and it is made into the width of the rectangular deck.

So the width of the new deck is (x + 1) feet.

The side length of the original deck was x feet. 2 feet of deck is added to the side length and it is made into the length of the rectangular deck.

So the length of the new deck is (x + 2) feet.

So the length of the new deck is (x + 2) feet and its width is (x + 1) feet.


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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?It takes Aaron about 1 hour to mow 2 acres.
Aaron’s rate for mowing lawns is 0.5 acres per hour.
The ratio of acres to time is 5 acres to 3 hours.
The rate to mow a lawn is 0.6 hours per acre.

Answers

Answer:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

Step-by-step explanation:

We are given that  x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.

Now Two of his points are (3, 1.5) and (5, 2.5)

(x_1,y_1)=(3,1.5)

(x_2,y_2)=(5,2.5)

Slope : m=(y_2-y_1)/(x_2-x_1)

m=(2.5-1.5)/(5-3)

m=(1)/(2)

m=0.5

Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.

Hence Option B is correct

The answer is "Aaron;s rate for mowing lawns is 0.5 acres per hour."
as
1.5 acres / 3 hours = 0.5 acres an hour
2.5 acres / 5 hours = 0.5 acres an hour

-x[-x(x-a) - (a-x)]
x = -2 & a = -5


answer and enjoy the points :D

Answers

Answer:59

Step-by-step explanation:

On day 1, Erica puts £1 in her bank. On day 2, she puts in £2, on day 3 she puts in £3 etc. How much money will she have after 100 days

Answers

Answer:

5050

Step-by-step explanation:

There is a simple formula for this kind of problem where you have to find the sum of consecutive numbers 1 to n:

[n(n+1)] / 2

In this case n is 100 so,

[100(100+1)]/2

[100(101)]/2

10100/2

5050

You can also do this by brute force and just add all consecutive numbers to 100

What does the graph tell you about the value of a in this function f(x)=a(x+k)^1/n+ca. a is greater than zero
b. it is not possible to tell weather a is greater than or less than zero
c. a is less than zero

Answers

a. a is greater than zero
a is greater than zero

What the fraction of a circle of 30 degree?

Answers

The required fraction of a circle of 30 degree is (1)/(12)

A circle consists of 360°, so we can write the fraction.

Which can be simplified to by dividing the numerator and denominator by 30degree.

Fraction circles are a set of nine circles of various colors.

Each circle is broken into equal fractional parts and uses the same-sized whole. The circles included are one whole as well as circles divided into halves.

Since a circle measures 360 degrees, (1)/(360) of it would be one degree, a very angle.

Fraction of a circle of 30 degree = Fraction of circle ÷ Total area of circle

Fraction of a circle of 30 degree = (30)/(360)

Fraction of a circle of 30 degree = (1)/(12)

Hence, The required fraction of a circle of 30 degree is (1)/(12).

For more information about Fraction of Circle click the link given below.

brainly.com/question/2501134

The fraction of 30 of a circle is 1/12

PLEASE HELPAt midnight, the outside temperature was –12⁰. By 6:00
a. m. the outside temperature had dropped 6⁰.
What was the outside temperature at 6:00
a. m.?
a. –18⁰
b. –6⁰
c. 6⁰
d. 18⁰

Answers

If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.