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3 years ago

Can someone help with number 14? Will give brainliest to best answer! Please show work:)

Mathematics

1 answer:

serious [3.7K]3 years ago

7 0

The first thing you do is find the area of the rectangle, which is l*w or 9*4 = 36. Then you find the area of the circle, which is pi*r^2 or pi*2^2 or 4*pi (do not combine pi and 4 yet). Lastly, you would subract the area of the circle from the area of the rectangle. It would be 36-4*pi, which equals about 23.43 ft.

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3.6 (5 x 4) ÷ 3 + 5.0

Yuliya22 [10]

3.6 (5 x 4) ÷ 3 + 5.0

use the PEMDAS rule

P - parentheses

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

3.6 (5 x 4) ÷ 3 + 5.0

= 3.6 (20) ÷ 3 + 5.0

= 72 ÷ 3 + 5.0

= 24 + 5.0

=29

so the final answer would be 29!!

8 0

3 years ago

Read 2 more answers

Solve 5x - 3y = 9 for y.

LenKa [72]

5x - 3y = 9
5x = 9 + 3y
5x - 9 = 3y
( 5x - 9 ) / 3 = y
y = ( 5 / 3x ) - ( 9 / 3 ) ( I just split the common denominator to individual parts )
y = 5 / 3x - 3

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3 years ago

How to completely factor t^2+4tv+4v^2

Anna71 [15]

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3 years ago

Change 225° to radian measure in terms of pi

a_sh-v [17]

Answer:

$\frac{5\pi }{4}$

Step-by-step explanation:

To convert from degree to radian measure

radian measure = degree measure × $\frac{\pi }{180}$

Hence

radian measure = 225 × $\frac{\pi }{180}$ = $\frac{225\pi }{180}$ = $\frac{5\pi }{4}$

5 0

3 years ago

ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12.

Naily [24]

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

$[(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z$

Thus, the final expression is (-11x + y - 12z).

(12)

From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

$[(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5$

Thus, the final expression is (7x² - y² - x + y + 5).

(13)

What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

$A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2$

Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

(14)

What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?

$A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7$

Thus, the expression is (3xy - 7zx + 7yz + 7).

(15)

How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?

$A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy$

Thus, the expression is (x² - 6y² + 3xy).

7 0

3 years ago