How many minutes does it take to make one ballon sculpture

I need to know how to do Solving Systems of Equations by Elimination

vredina [299]

The point of elimination is to have one variable so example

3x + 2y = 4

7X + 3y = 5

1) Try to find a way to have one variable

7(3x + 2y = 4) ----> 21x + 14y = 28

-3(7x+ 3y = 5) -----> -21x -9y = -15

2) add

0 + 5y = 13

3) solve for the last variable

5y = 13
y = 13/5 = 2 3/5 = 2.8

4) Subsitute the variable to get the other one

3x + 2(2.8) = 4

3x + 5.6 = 4

3x = -1.6

x = 0.533333333 (continue)

The intersection would be 0.53 with a line above the 3 and 2.8. (0.5333 , 2.8)

Hope you understand!!

6 0

3 years ago

Find the volume of the following figure. 890 units 3 900 units 910 units 3 882 units3

ludmilkaskok [199]

The answer in 766units^2

4 0

3 years ago

Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l

devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem): It isn't necessary to know that BC is 5.

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle, if it only gives ∠CBD as a right angle, or if it gives both as a right angle. Below, we prove that it doesn't matter, because regardless, both must be right angles.

Is Triangle ABD a "right triangle"?

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary. Since they are supplementary, their measures add to 180°. Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle. Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

Pythagorean Theorem

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that $a^{2} +b^{2} =c^{2}$ where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle. (Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b. The only thing that is required is that "c" be the length of the hypotenuse)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs. Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

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

$(8)^{2} +(15)^{2} =(s)^{2}$

$64 +225 =s^{2}$

$289 =s^{2}$

Applying the square root property...

$\pm \sqrt{289} =\sqrt{s^{2}}$

$s=17 \text{ or } s=-17$

Final Solution

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0

2 years ago

kiersten has 23 red balloons. Catherine has 8 times more red balloons than Spirit. How many more red balloons does catherine hav

Gelneren [198K]

Answer:

161 is your answer.

Step-by-step explanation:

Easy! If Kiersten has 23 balloons and Catherine has 8 times more than Kiersten, all we need to do is multiply. 23x8=184. Now to figure out how many more red balloons Catherine has compared to Kiersten we need to subtract Kiersten's amount from Catherine's amount. 184-23=161. So Catherine has 161 more red balloons than Kiersten.

4 0

3 years ago

Does the data below describe a linear, quadratic, or exponential function?

Savatey [412]

Answer:

Quadratic.

Step-by-step explanation:

Both linear and exponential equations are monotone increasing or monotone decreasing functions.

This means that, as the input increases, the output will only increase or only decrease, but never both.

Here for our data, we can see that first we have:

x = -8

y = 13

Then x increases to x = -6, and y decreases to y = 9

Then x increases to x = -4 and y increases to y = 13

Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.

Then the correct option is quadratic.

5 0

3 years ago