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Sedbober [7]
3 years ago
13

Is 5√2 rational or irrational

Mathematics
1 answer:
Allushta [10]3 years ago
5 0
First solve it. It will be 7.071.......

That will be an irrational number because it never ends. 
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using the completing-the-square method find the vertex of the function f(x) = -2x^2 + 12x + 5 and indicate whether it is a minim
Serggg [28]
The vertex is x = 3 and the maximum is at (3, 23)
7 0
3 years ago
43. Write a system of equations that is equivalent to each of the systems of equations below
olchik [2.2K]

1.

The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

brainly.com/question/2972832

6 0
3 years ago
If the perimeter of the triangle is 49 m, find the third side of the triangle.
Gekata [30.6K]

Answer:

d. 22

Step-by-step explanation:

It gives you the perimeter which is 49. You subtract the given sides from 49. That leaves you with 22.

49-9-18=22

6 0
3 years ago
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *
yawa3891 [41]

Answer:

4.44

Step-by-step explanation:

The tangent of B is the relation of the opposite cathetus to the lying cathetus

tg B= AC/CB= 40/9= 4.44

5 0
4 years ago
TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c
ladessa [460]

Answer:

35 x+ 18 y

Step-by-step explanation:

We are given that TechWiz  sold MP3 player and DVD player and makes profit.

We have to find an expression for the combined total profit (in dollars) what TechWiz made from MP3 and DVD player last week.

We are given that

Let number of MP3 players sold in last week=x

Number of DVD players sold in last week =y

When TechWiz sold combined total MP3 and DVD players=153

x+y=153

Profit on one MP3 player=$35

Profit on one DVD player=$18

Total profit on x MP3 players= 35 x

Total profit on y DVD players= 18 y

Therefore, the combined total profit in last week

35 x+ 18 y

The expression for the combined total profit what TechWiz made from Mp3 players and DVD palyers

35 x+18 y

6 0
3 years ago
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