Setup an equation then find x

Answer:

14

Step-by-step explanation:

Perimeter of the ∆ = sum of the length of the 3 sides.

The length of the 3 sides can be calculated by using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between the vertices of the ∆.

The coordinates of the 3 vertices are:

(-1, 3), (2, 2), (-2, -2)

Distance between (-1, 3) and (2, 2):

Let,

[tex] (-1, 3) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(2 -(-1))^2 + (2 - 3)^2} [/tex]

[tex] d = \sqrt{(3)^2 + (-1)^2} [/tex]

[tex] d = \sqrt{9 + 1} = \sqrt{10} = 3.2 units [/tex]

Distance between (2, 2) and (-2, -2)

Let,

[tex] (2, 2) = (x_1, y_1) [/tex]

[tex] (-2, -2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-2 - 2)^2 + (-2 - 2)^2} [/tex]

[tex] d = \sqrt{(-4)^2 + (-4)^2} [/tex]

[tex] d = \sqrt{16 + 16} = \sqrt{32} = 5.7 units [/tex]

Distance between (-2, -2) and (-1, 3)

Let,

[tex] (-2, -2) = (x_1, y_1) [/tex]

[tex] (-1, 3) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-1 -(-2))^2 + (3 -(-2))^2} [/tex]

[tex] d = \sqrt{(1)^2 + (5)^2} [/tex]

[tex] d = \sqrt{1 + 25} = \sqrt{26} = 5.1 units [/tex]

Perimeter of triangle = 3.2 + 5.7 + 5.1 = 14.0 units

Answer:

72 simplified

Step-by-step explanation:

6 x 10 + 6 x 2

60 + 12 = 72

Answer:

[tex]\huge\boxed{\boxed{72}}[/tex]

Step-by-step explanation:

Hello.

This problem can be solved without using the Distributive Property; all we have to do is use... mental maths. :)

First, add 10 plus 2:

12

Now, multiply 12 times 6:

72

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

To the nearest tenth

Percentage= 5.9%

Step-by-step explanation:

In 1995, Germany produced 4.719 million computers.

In that same year, the total computer production of the whole world was 80 million.

The percentage of the world production contributed by Germany

=Number produced by Germany/Number produced by the whole world * 100

The percentage of the world production contributed by Germany

=( 4.719/80)*100

The percentage of the world production contributed by Germany

=5.89875%

To the nearest tenth

= 5.9%

Answer:

is 4 i think

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

400*10=4000

5200-4000=1200

1200 divided by 8 =150

Answer:

150 seats were sold.

Step-by-step explanation:

first do 10x400= 4000

then 5200-4000= 1200

divide that by how much balcony tickets cost, so 1200÷8= 150 seats

Answer: 48

12+12=24

24+12=36

36+12=48

12x4= 48

Arrange the numbers one on top of the other and line up the place values in columns.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.

Write the answer below the equals line.

:)

Answer:

what the hell i cant under stand u need to press enter more

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

20 x 100 = 2000

Hope this helps

Step-by-step explanation:

5+4m=21

4m=21-5

4m=16

m=16/4

m=4

Answer:

m=6

Step-by-step explanation:

(6)+4m(-1)=21<subtract 6-1

(-5)+4m=(21)<subtract 5 to both sides

(4m)=(26)<divide

Answer: The answer is 720

Step-by-step explanation: I started off by guessing a random number, i picked 10. So i multiplied 12x10 and i got 120. I added 120 with 120 until i got something close enough (720.) I got it right on the test as well- :)

Answer:

Sol:

The current price of item = RM258

The price that increases every month = RM4

Now,

It's price in ten month's line= Current price + 10 X increased price per month

= RM 258 + 10X RM4

=RM 258+ RM 40

= RM 298

Therefore, it's price in ten month's line will be RM 298

Answer:

Here we have:

IxI < 7

This also can be written as:

-7 < x < 7

and:

IyI < 2.

As above, we can write this as:

-2 < y < 2.

Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)

Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.

The area would be the area inside that rectangle, where i did not shade it so it is easier to read.

Answer:

y=-1/2x+5

Step-by-step explanation:

Answer:

Yes it's possible to make a triangle with 4, 4 and 16.

But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.

Answer:

8 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

50 ÷ 6 = 8.3333333333... Which simplify's (as a fraction) into 8 [tex]\frac{1}{3}[/tex].

Each day 8.33 pounds of flour is used.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mr. Edwards bought a 50-pound bag of flour for his bakery.

It was equally divided among 6 days.

So, According per day the flour will be used

= 50/6

= 25/3

= 8.33 pound

Hence, 8.33 pounds used per day.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

28

Step-by-step explanation:

4 squared is equal to 16

2 squared is equal to 4

16÷4=4

2 to the fifth is 32 (2x2x2x2x2)

32-4=28

Hope this helps :-)

Answer:

40

Step-by-step explanation:

Natural numbers are numbers that occur commonly in nature and are whole non-negative numbers. Therefore, there are 40 natural numbers between 80 and 120.

Answer:

There are three servings in 1 pound so there are 8*3 servings in one pound which is 24. Plus an extra serving for the extra 1/3 pound makes for a final answer of 25 servings.

Answer:

D)

Step-by-step explanation:

The regression model can have one or more predictor (x dependent variable)  at the same time.

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

• The equation is a contradiction

• The solution set is Ø

Step-by-step explanation:

The simplest approach to this problem is solving for the value of y, and then identifying what type of equation it is. Remember that conditional equations have a defined value, contradiction equations have no solutions, and identity type equations have infinite solutions. Let's solve for y,

[tex]\mathrm{Given:5y\:+\:5\:-\:11y\:=\:-\:2y\:-\:7\:-\:4y},\\\\\mathrm{Add\:similar\:elements:}\\\\=> -6y+5=-2y-7-4y\\=> -6y+6y=-6y-12+6y\\=>0=-12[/tex]

Both sides are not equal, and hence we have no solutions. Our equation is contradiction, and the solution set is Ø.

Steps to solve:

~Combine like terms

-6y + 5 = -6y - 7

~Subtract 5 to both sides

-6y = -6y - 12

~Add 6 to both sides

0 = -12

There are no solutions.

Best of Luck!

Answer:

-5ab + 5a - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x - 15 = 4x - 12

3x - 15 = -12

3x = 3

x = 1

y = 7(1) - 15

y = 7 - 15

y = -8

(1, -8)

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

Answer:

The constant of proportionality is 1/3.

Step-by-step explanation:

You can find this answer by taking two coordinates shown and put them into a fraction form.

Example:

The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.

To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.

So 1/ 3 is correct.

Or take a look at the graph...

the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.

Respuesta:

200.00.

Exli con i

esunsua ma

Here, I required to determine how much I have.

According to the data in the question;

Therefore, the algebraic sum of all my money results in the amount I have now.

The amount I have now is:

$3.00 + $10.00 + $30.00 + $100.00 + $7.00= $150.

The amount I have now is: $150