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scZoUnD [109]
3 years ago
9

Simplify 7 √ 3 2 − 6 √ 7 2

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer: -10\sqrt{2}

<u>Step-by-step explanation:</u>

  7\sqrt{32} - 6\sqrt{72}

= 7\sqrt{(2*2)*(2*2)*2} - 6\sqrt{(2*2)*2*(3*3)}

= 7*2*2\sqrt{2} - 6*2*3\sqrt{2}

= 28\sqrt{2} - 36\sqrt{2}

Now that they have the same radical, we can subtract their coefficents

= (28 - 36)\sqrt{2}

= -8\sqrt{2}

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Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36​
Svetlanka [38]

The answer that you are looking for is A. 40 to 27

8 0
3 years ago
Determine whether the relation represents a function <br>16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}​
Mamont248 [21]

Answer:

No, it's not a function

Step-by-step explanation:

In a function each input has one and only one output

Here an input of -3 has two outputs 2 and 1

4 0
3 years ago
11) 54% of 35 is what?
Verdich [7]

Answer:

18.36

Step-by-step explanation:

g00gle says so

7 0
3 years ago
Read 2 more answers
(1 point) (a) The Cartesian coordinates of a point are (1,1). (i) Find polar coordinates (r,θ) of the point, where r&gt;0 and 0≤
Gre4nikov [31]

Answer:

P(1, π/4)

P(-1, π/4)

P(4, 5π/6)

P(-4, 5π/6)

Step-by-step explanation:

Knowing the formulas

r = √(x²+y²)

θ = Arctg (y/x)

we have

a) P(1, 1)

i)  

r = √(1²+1²) = +1

r = +1

θ = Arctg (1/1) = π/4

P(1, π/4)

ii) r = √(1²+1²) = -1

r = -1

θ = Arctg (1/1) = π/4

P(-1, π/4)

b) P(2√3, -2)

i)  

r = √((2√3)²+(-2)²) = +4

r = +4

θ = Arctg (-2/2√3) = 5π/6

P(4, 5π/6)

ii)

r = √((2√3)²+(-2)²) = -4

r = -4

θ = Arctg (-2/2√3) = 5π/6

P(-4, 5π/6)

5 0
4 years ago
The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,
WINSTONCH [101]
<span>SALES:      5x² + 2x – 80
</span>- COST:      5x² – x + 100
=                 ------------------
PROFIT:      0x²+3x-180                        
(+3x because we subtracted a negative (-x), which is called adding, similarly taking away 100 from negative 80 is -180.)

Checking:
5x² + 2x – 80
5(500)²+2(500)-80 = 1,250,920

5x² – x + 100
5(500)² – (500) + 100= 1,249,600

Profit = 1,250,920 - 1,249,600 = 1,320
 
0(500)²+3(500)-180 = 1,320  YAY! {:-)

Double Checking:

5x² + 2x – 80
5(5000)²+2(5000)-80 = 125,009,920

5x² – x + 100
5(5000)² – (5000) + 100= 124,995,100

Profit = 125,009,920 - 124,995,100 = 14,820
 
0(5000)²+3(5000)-180 = <span>14,820</span>  YAY! {:-)



3 0
4 years ago
Read 2 more answers
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