What two numbers multiply to the value of -10 and add to the value of -3

What is the side length of the eectagkes

dedylja [7]

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Step-by-step explanation:

1. 5 in and 1/3 in

Here,

$Let\\l=5\\w=\frac{1}{3}\\Area=l*w\\=5*\frac{1}{3}\\=\frac{5}{3}\ in^2$

2. 5 in and 4/3 in

Here,

$l= 5\ in\\w=\frac{4}{3}\ in\\Area=l*w\\=5*\frac{4}{3}\\=\frac{20}{3}\ in^2$

3. 5/2 in and 4/3 in

$let\\l=\frac{5}{2}\\w=\frac{4}{3}\\Area= \frac{5}{2}*\frac{4}{3}\\=\frac{20}{6}=\frac{10}{3}\ in^2$

4. 7/6 in and 6/7 in

Let

$l=\frac{6}{7}\\w=\frac{7}{6}\\Area=l*w\\=\frac{6}{7}*\frac{7}{6}\\=1\ in^2$

Hence,

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Keywords: Rectangle, Area

Learn more about rectangles at:

#LearnwithBrainly

8 0

4 years ago

The population, P, of Johnstown over a period of t years since the town

IRISSAK [1]

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 = 5,600 e^0.0591t

2 = e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years

3 0

3 years ago

A quadrilateral has no pairs of parallel sides. What shape could it be? ( im not accepting rhombus or trapezium as an answer ).

natali 33 [55]

Answer: The answer is a parallelogram! I hope this helps you!!

Step-by-step explanation: If only one pair of opposite sides is required to be parallel, the shape is a trapezoid. A trapezoid, in which the non-parallel sides are equal in length, is called isosceles.

8 0

3 years ago

Read 2 more answers

PLEASE HELP

Rudiy27

Given:

The equation is

$7(x+1)+11x=-2x-5$

To find:

The reason for each statement.

Solution:

We have,

$7(x+1)+11x=-2x-5$

Using distributive property, we get

$7x+7+11x=-2x-5$

On combine like terms, we get

$18x+7=-2x-5$

Using addition property of equality, add 2x on both sides.

$20x+7=-5$

Using subtraction property of equality, subtract 7 from both sides.

$20x=-12$

Using division property of equality, divide both sides by 20.

$x=-\dfrac{12}{20}$

$x=-\dfrac{3}{5}$

Therefore, the required reasons are:

2. Distributive property

3. Combining like terms

4. Addition property of equality

5. Subtraction property of equality

6 0

3 years ago

3. A rock club's profit from booking local bands depends on the ticket price, Using past receipts, the owners find that the prof

jarptica [38.1K]

$p=-10t^2\text{ + 500t + 60}$

Part A

To find the ticket price when the price is $16

Let us substitute the value of t = 16

p = -10 x (16 x16) + 500 x 16 + 60

p = -2560 + 8000 + 60

p =$ 5500

Part B

To get the maximum profit, we will have to differentiate P with respect to t

$\begin{gathered} p=-10t^2\text{ + 500t + 60} \\ \frac{dp\text{ }}{dx}=\text{ -20t + 500} \end{gathered}$

The maximum profit will be obtained when the derivative is zero

-20t + 500 = 0

20t = 500

t = 500/20

t = 25

This means that the ticket price has to be $25 so as to obtain the maximum price

Part C

The maximum profit will be obtained by substituting t = 25 into the original equation

$\begin{gathered} p=-10t^2\text{ + 500t + 60} \\ p\text{ = -10 x 25 x 25 + 500 x 25 + 60} \\ p\text{ =}6310 \end{gathered}$

6 0

2 years ago