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3 years ago

2. You plan to replace the carpeting in the room shown. What is the

Mathematics

2 answers:

Firdavs [7]3 years ago

8 0

Answer:

198

Step-by-step explanation:

RSB [31]3 years ago

5 0

Answer:

$198\ ft^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that the area of the room is equal to the area of a rectangle plus the area of a trapezoid

step 1

Find out the area of the rectangle

$A_1=(18)(9)=162\ ft^2$

step 2

Find out the area of the trapezoid

$A_2=\frac{1}{2} (9+3)(6)=36\ ft^2$

step 3

Sum the areas

$A=A_1+A_2$

substitute the values

$A=162++36=198\ ft^2$

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Plz Help

Afina-wow [57]

We are asked in the problem to determine the value of x in the equation 4x² + 2x = 7 using completing the square method. in this case,

4x² + 2x = 7
x2 + 0.5 = 1.75
(x + 0.25)^2 - 0.0625 = 1.75
(x + 0.25)^2 = 1.8125
x+0.25=1.3462
x1 =1.0963
x2 =-1.5962

3 0

2 years ago

Do I need to put parentheses in this? Why it why not?

Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. People solve using the order PEDMAS:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are no parentheses or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95 Multiply first

= 12 + 0.95 Now add

= 12.95 Answer without parentheses

If you add parentheses around 4 + 0.95, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95) Add inside parentheses

= 3 X (4.95) Now multiply

= 14.85 Answer with parentheses

If you added parentheses around 3 X 4, the answer would not change, because you still multiply first.

(3 X 4) + 0.95 Solving parentheses first

= 12 + 0.95 Add

= 12.95 Answer same as original

3 0

2 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

Additional comment

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

2 years ago

Please help problem 1, 2 and 3

laila [671]

Answer:

See attached

Step-by-step explanation:

When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.

For a linear equation in standard form, ax +by = c

the x-intercept is: c/a
the y-intercept is: c/b
the slope is: m = -a/b

Of course, the slope-intercept form of the equation is ...

y = (slope)·x + (y-intercept)

and the values of the various points on the graph can be computed from that equation.

___

You will note that the last two equations describe the same line.

_____

Note on spreadsheet formulas

When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.

4 0

2 years ago

. Determine whether the vectors (5, −2, 4), (2, −3, 5), and (4, 5−

Tems11 [23]

Answer: The vectors are linearly dependent.

The solution is in the attachment

5 0

3 years ago

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