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3 years ago

How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

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ASAP, PLEASE!! Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y = -3x + 1...

Aliun [14]

I think this system is consistent and dependent

7 0

3 years ago

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

PLEASE I NEWD HELP ON THIS

Zarrin [17]

Answer:

5. Inequality form: n ≥ 3

Interval notation: [3, ∞)

6. Inequality form: x < 4

Interval notation: (- ∞, 4)

11. Inequality form: x > 50

Interval notation: (50, ∞)

12. Inequality form: y $\geq$ 8

Interval notation: [8, ∞)

15. Inequality form: z < 8

Interval notation: (- ∞, 8)

16. Inequality form: y $\geq$ 4

Interval notation: [4, ∞)

Step-by-step explanation:

I tried to graph them as best as I could, I hope this helps!

7 0

3 years ago

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets

mrs_skeptik [129]

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

6x + 12y = 114

(+) -6x - 6y = -81

-----------------------------

6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

4 0

2 years ago

Read 2 more answers

Mark had 4 members in his family each of the person get 1/6 what Is the fraction of the tomato use fraction strips

umka21 [38]

If each person got 1/6 then there is still 2/6 left over, =1/3. In fraction strips, we would do

1/3 1/3 1/3 1/3

1/6 1/6 1/6 1/6 1/6 1/6 for the overall tomato and then 1/6 1/6 for the remaining piece of the tomato.

Hope this helps, if you need any more help just comment :)

8 0

3 years ago