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Aloiza [94]
3 years ago
6

Can anybody please answer question 1?

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0
That would be a unique triangle
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How many solutions does the equation have?<br><br> 2x + 3 = 4x + 2
fenix001 [56]
Well, solve for x.

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

So, there is only one solution: 1/2
8 0
3 years ago
Read 2 more answers
According to​ statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed th
Kobotan [32]

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

<h3 /><h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

  • When a value that is adding, when passing to the other member of the equation, it will subtract.
  • If a value you are subtracting goes to the other side of the equation by adding.
  • When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
  • If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

<h3>This case</h3>

Being "x" the number of years watching TV, and knowing that:

  • The number of years sleeping will exceed the number of years watching TV by 22.
  • A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

<u><em>x=6</em></u>

As the number of years sleeping will exceed the number of years watching TV by 22, then<u><em> x +22= 6 +22= 28 years.</em></u>

Finally, a person will devote 28 years watching TV and 6 years sleeping.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

3 0
2 years ago
in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche
Vesna [10]

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


7 0
3 years ago
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.1 ft/s,
pishuonlain [190]
 <span>let: 
X = the distance of the bottom of the ladder from the wall at any time 
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec 
A = the angle of the ladder with the ground at anytime 
dA/dt = rate of change of the angle in radians per second 

X = 10 cos A 

dX/dt= -10 sin A dA/dt = 1.1 

dA/dt = -1.1/(10 sinA) 

When X = 6; cosA = 6/10; sinA = 8/10 

Therefore: 

dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
4 0
3 years ago
PLEASE HELP 45 POINTS!!!!!
Nady [450]

Answer:

  • \sf x = 5
  • \sf DF = 12

setting up proportionality equation:

\sf \dfrac{big-side}{big-diagonal}   = \sf \dfrac{small-side}{small-diagonal}

\sf \hookrightarrow \dfrac{7}{16+x+7}  = \dfrac{4}{16}

\sf \hookrightarrow  \dfrac{7}{23+x}  = \dfrac{4}{16}

\sf \hookrightarrow 4(23+x) = 112

\sf \hookrightarrow 92 + 4x = 112

\sf \hookrightarrow 4x = 112- 92

\sf \hookrightarrow 4x = 20

\sf \hookrightarrow x = 5

<u>Find DF:</u>

\hookrightarrow \sf x + 7

\hookrightarrow \sf  5 + 7

\hookrightarrow \sf 12

4 0
2 years ago
Read 2 more answers
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