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SOVA2 [1]
3 years ago
15

The sum of a number v and 18 what is the algebraic expression?

Mathematics
1 answer:
podryga [215]3 years ago
6 0
The sum (addition) of a number v and 8

v + 8
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What is 7 divided by 1/3 in multiplication
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It would be 7x3 which would equal 21. Hope that helped!
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Math question 2! Thanks if you help
Greeley [361]

Answer: 15.6 m

Step-by-step explanation:

Two legs of right angle in right triangle given are 12m and 10m.

For the third side use Pythagoras theorem:

C^2= a^2+b^2

C=√[(12^2)+(10^2)]

C=√[144+100]

C=√[244]= 15.6 m

6 0
3 years ago
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Solve each compound inequality (show your work!)
zimovet [89]

Answer:  -1 < x < 8

                x = 3

                x ≠ 2

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

Isolate x in the middle.  Perform operations to all 3 sides.

-6 < 2x - 4 < 12

<u>+4 </u>   <u>      +4</u>   <u>+4 </u>

-2 < 2x       < 16

<u>÷2  </u>  <u>÷2      </u>   <u> ÷2 </u>

-1   <   x       <  8

**************************************************************************

Isolate x.  Solve each inequality separately. Remember to flip the sign when dividing by a negative.

       4x ≤ 12       and       -7x ≤ 21

      <u>÷4  </u>  <u>÷4 </u>                 <u> ÷-7  </u>   <u>÷-7 </u>

        x ≤ 3         and         x ≥  3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3?    <em>when x = 3</em>

****************************************************************************

Isolate x.  Solve each inequality separately.

    15x > 30       or           18x < -36

   <u>÷15 </u>  <u> ÷15 </u>                  <u> ÷18  </u>   <u>÷18 </u>

       x > 2          or              x <   2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

4 0
3 years ago
Find the area A of the polygon with the given vertices.
Natalija [7]

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the segment between A(2, 2) and B(9, 2) = \sqrt{(9-2)^2+(2-2)^2}

                                                                                     = 7 units

Length of the segment between B(9, 2) and C(9, -3) = \sqrt{(9-9)^2+(2+3)^2}

                                                                                       = 5 units

Length of the segment between C(9, -3) and D(2, -3) = \sqrt{(9-2)^2+(-3+3)^2}

                                                                                        = 7 units

Length of the segment between A(2, 2) and D(2, -3) = \sqrt{(2-2)^2+(2+3)^2}

                                                                                       = 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

                                    = 7 × 5

                                    = 35 square units

4 0
2 years ago
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