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3 years ago

Thanks in advance for your help, the question is;

Mathematics

2 answers:

valkas [14]3 years ago

5 0

Answer:

8, 9

Step-by-step explanation:

1/2x + 2(x + 1) = 22

1/2x + 2x + 2 = 22

1/2x + 2x = 20

5/2x = 20

5x = 40

x = 8

8, 9

4 + 18 = 22

zheka24 [161]3 years ago

3 0

Answer:

8 and 9

Step-by-step explanation:

hope this helps!

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Help on #51 please !!

Aleks04 [339]

Answer:

53. ±6

51. 2

Step-by-step explanation:

According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:

$\sqrt{(32 + {2}^{3} - 4)} = \sqrt{32 + 8 - 4} = \sqrt{36} = ±6 \\ \\ (17 - 11 + {4}^{2}) \div 11 = (17 - 11 + 16) \div 11 = \\ \\ 22 \div 11 = 2$

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3 years ago

A pilot sets a heading of 110

Cerrena [4.2K]

Please explain the question so we can help you.

5 0

3 years ago

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the ve

-Dominant- [34]

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

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3 0

3 years ago

Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

Gwar [14]

Answer:

The solutions for the given system of equations are:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

Step-by-step explanation:

Given the equation system:

$\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.$

We obtain the following matrix:

$\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]$

Step 1: Multiply the fisrt row by 1/3.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]$

Step 2: Sum the first row and the second row.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]$

Step 3: Multiply the second row by 3/4.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]$

Step 4: Multiply the second row by -1/3 and sum the the first row.

$\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]$

The result of the reduced matrix is:

$\left \{ {{x=-5} \atop {y+4z=12}} \right.$

This is equal to:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0

3 years ago

Which word describes the slope of the line? positive negative zero undefined

FrozenT [24]

Answer:

Negative

Step-by-step explanation:

the slope in this equation is negetive as it is pointing in a downwards position.

Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion

7 0

2 years ago

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