Cual propiedad de los números reales se ilustra en los siguientes enunciados? 2(13+−8)=26+−16

A system of equations can be solved by elimination in the table below. Does the system of equations on line 4 have the same solu

devlian [24]

Answer:

Full question attached below.

Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1

Step-by-step explanation:

There is no difference between the systems of line 1 and 4

1st system

5x + 3y = 14

4x - 2y = -2

4th system

10x + 6y = 28

12x - 6y = -6

In the fourth system, we factor number 2 from the first line, and number 3 from the second line

4th system

2[5x + 3y] = 2[14]

3[4x - 2y] = 3[-2]

If we simplify,

4th system

[5x + 3y] = [14]

[4x - 2y] = [-2]

We get the same system as the 1st

Therefore, the solution is the same.

8 0

3 years ago

Look at the image below plz correct answers Surface area of cones 15 points

monitta

Answer:

$A\approx 282.7\ m^2$

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

$a^2+b^2=c^2$

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

$a^2+b^2=c^2$

$a^2+5^2=13^2$

Simplify,

$a^2+5^2=13^2$

$a^2+25=169$

Inverse operations,

$a^2+25=169$

$a^2=144$

$a=12$

$h=12$

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

$A=\pi r(r+\sqrt{h^2+r^2})$

Where ( $\pi$ ) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

$A=\pi r(r+\sqrt{h^2+r^2})$

$A=\pi 5(5+\sqrt{12^2+5^2})$

Simplify,

$A=\pi 5(5+\sqrt{12^2+5^2})$

$A=\pi 5(5+\sqrt{144+25})$

$A=\pi 5(5+\sqrt{169})$

$A=\pi 5(5+13)$

$A=\pi 5(18)$

$A=\pi 90$

$A\approx 282.743$

3 0

3 years ago

What is 2+2? and multiply the answer by 954. im having a hard time with this

Alex787 [66]

Answer:

2+2= 4 4x954= 3816

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Jamal will slice a right circular cylinder into two congruent pieces. Which two dimensional plane sections could result from the

GarryVolchara [31]

Answer:

An ellipse and a rectangle.

Step-by-step explanation:

If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.

If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.

If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.

5 0

3 years ago

A(n) = A(n-1) + 5.1; A(1) = 9.6

zhenek [66]

Answer:

A(n) = 5.1×n + 4.5

Step-by-step explanation:

A(n) = A(n-1) + 5.1

A(1) = 9.6

A(n) - A(n-1) = 5.1 ,where n ≥ 1

This means that (A(n)) is an arithmetic sequence where :

<u>The common difference</u> r = 5.1

and

<u>The first term</u> A(1) = 9.6

Therefore

A(n) = A(1) + (n - 1)×r

= 9.6 + (n - 1)×5.1

= 9.6 + 5.1×n - 5.1

= 5.1×n + (9.6 - 5.1)

= 5.1×n + 4.5

4 0

1 year ago

Cual propiedad de los números reales se ilustra en los siguientes enunciados? 2(13+−8)=26+−16​

Cual propiedad de los números reales se ilustra en los siguientes enunciados? 2(13+−8)=26+−16