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Nady [450]
2 years ago
12

- 10x - 11 = -12x + 21​

Mathematics
2 answers:
bogdanovich [222]2 years ago
6 0
-10x-11=-12x+21
Move variable to the left side and change its sign
Move constant to the right side and change its sign
-10x+12x=21+11
2x=21+11
2x=32
Divide both sides by 2
X=16
Helen [10]2 years ago
4 0
-10x=-12x + 21 + 11
-10x= -12 + 32
-10x + 12x = 32
2x = 32
X = 32/2
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Solve for x and y:<br>x = <br>y = ​
ICE Princess25 [194]

Answer:

x = 15

y = 21

Step-by-step explanation:

*triangle sum theorem*

(6x - 11)° + (81)° + (x + 5)° = 180°

(7x - 6)° + (81)° = 180°

(7x)° + (75)° = 180°

(7x)° = (105)°

x = 15

________________

*vertical angle theorem* *triangle sum theorem*

(6x - 11)° + (4y - 18)° + (y + 14)° = 180°

^

|

15

(79°) + (4y + y) + (14 - 18)°

_________________________

(79)° + (5y - 4)° = 180°

(5y)° + (75)° = 180°

(5y)° = 105°

y = 21

5 0
2 years ago
A Hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute . The total c
mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0
3 years ago
The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

  • W = \frac{13}{2} - L
  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

5 0
2 years ago
Pls someone help me with this question pls
Butoxors [25]
So I don’t know if this is right or not but it should be for every 3 players there is 1 wiener
7 0
2 years ago
5(-2/3) this is it and I don’t know it
erma4kov [3.2K]

Answer:

4 1/3

Step-by-step explanation:

hope this helps!

4 0
3 years ago
Read 2 more answers
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