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3 years ago

Draw a rectangle with an area of 42 square units

1 answer:

6 0

We know, Area = Length * Width

So, with area 42, dimensions could be: 1 * 42
2 * 21
3 * 14
6 * 7

Just draw the lines with that measures, two pair of two equal opposite lines.

Hope this helps!

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Which of these statements is correct?

tatuchka [14]

Answer:

The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.

Step-by-step explanation:

1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.

Solve these linear equations simultaneously

Step 1 : Find y in terms of x from any one equation

6x - 5y = 8

y = 8 - 6x

-5

Step 2 : Substitute y in terms of x from step 1 in the second equation.

16x - 6y = 22

16x - 6 (8 - 6x) = 22

-5

80x - 48 + 36x = 22 x -5

94x = 43

x = 0.457

This statement is incorrect as it does have a solution.

2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.

Solve these linear equations simultaneously

Step 1 : Find y in terms of x from any one equation

7x + 2y = 6

y = 6 - 7x

Step 2 : Substitute y in terms of x from step 1 in the second equation.

14x + 4y = 16

14x + 4(6 - 7x) = 16

14x + 12 - 14x = 16

0 ≠ 4

This statement is not true as there are no solutions.

3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.

Solve these linear equations simultaneously

Step 1 : Find x in terms of y from any one equation

8x - 3y = 10

x = 10 + 3y

Step 2 : Substitute x in terms of y from step 1 in the second equation.

16x - 6y = 22

16(10 + 3y) - 6y = 22

20 + 6y - 6y = 2

0 ≠ -18

This statement is true because there are no solutions

4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.

Solve these linear equations simultaneously

Step 1 : Find x in terms of y from any one equation

9x + 6y = 14

x = 14 - 6y

Step 2 : Substitute x in terms of y from step 1 in the second equation.

18x + 12y = 26

18 (14 - 6y) + 12y = 26

8 - 12y + 12y = 26

0 ≠ 18

This statement is incorrect because there are no solutions. It does not have infinite number of solutions.

!!

8 0

3 years ago

Read 2 more answers

What is the value of the arithmetic series below?

RoseWind [281]

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - $\frac{3}{2}$ k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

3 0

3 years ago

Read 2 more answers

Help please look below

Gwar [14]

A is located, as you look A is past -2 almost hitting -3 making the mark 2.8 so the answer is A

3 0

2 years ago

Please help. I need to find the Slope and identify the type of Slope. I already know the type. (Number 11)

elena-14-01-66 [18.8K]

The slope =0. Horizontal lines have a slope of 0

4 0

3 years ago

I WILL MARK 10/10 IF U GET ANSWER CORRCET!!10 Fill in the blanks to make each equation true.

ANTONII [103]

Answer:

a) 2.6

b) -15

c) 9

d) $\frac{3}{10}-(-\frac{2}{3})=\frac{3}{10}+\frac{2}{3}=\frac{9}{30}+\frac{20}{30}=\frac{29}{30}$

e) 1.26

Step-by-step explanation:

3 0

3 years ago