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r-ruslan [8.4K]
2 years ago
11

Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6 -3x+5y=10

Mathematics
1 answer:
allochka39001 [22]2 years ago
6 0

Answer:

<h3>x = (-2)</h3><h3>y = 2</h3>

Step-by-step explanation:

2x + 3y = 6________( 1 )

-3x + 5y = 10_______( 2 )

( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )

( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )

(4)  +  (3) \\ 6x + 9y  +  ( - 6x + 10y) = 20 - 18 \\ 6x + 9y  -  6x - 10y = 2 \\ y = 2

y = 2 ,

2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x =  - 4 \\x =  \frac{ - 4}{2}  \\ x = ( - 2) \\

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What is the approximate area of a circle enclosed by a piece of rope 50.24 inches long? (Use the fact that π ≈ 3.14 to make your
Nikitich [7]

Answer:

the approximate area of this circle is 200.96 inches long.

Step-by-step explanation:

To answer this problem we need to remember that the area of a circle is given by the formula:

Area = πr^2 where r is the radius.

and the perimeter is:

Perimeter = 2πr

Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.

Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.

Perimeter = 2πr

50.24=2(3.14)r

50.24= 6.28r

50.24/6.28= r

8= r

Thus, the radius of the circle is 8 inches long.

Now, we can use this value to find the area of the circle:

Area = πr^2

Area = π8^2

Area = 3.14 (64)

Area = 200.96

Therefore, the approximate area of this circle is 200.96 inches long.

3 0
3 years ago
Find the range of the function y=-x^2-3x when the domain is {-5,0,2}
umka21 [38]

Answer: \{-10, 0 \}

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

  • When x=-5, y=-(-5)^{2}-3(-5)=-10.
  • When x=0, y=-0^{2}-3(0)=0.
  • When x=2, y=-2^{2}-3(2)=-10

So, the range is \boxed{\{-10, 0 \}}

4 0
2 years ago
1. Determine the size of each insect after a dilation with the scalefactor k.
aleksandrvk [35]
I don’t understand what u are asking
7 0
3 years ago
If n =270 and (p-hat) =0.43, find the margin of error at a 99% confidence level.. give answer to 3 decimals
Troyanec [42]

Answer:

0.078

Step-by-step explanation:

Margin of error = z√(p(1-p)/n)

Given

p-hat = 0.43

n = 270

z at 99% confidence interval = 2.576

Substitute

MOE = 2.576√0.43(1-0.43)/270

MOE = 2.576√0.43*0.57/270

MOE = 2.576√0.2451/270

MOE = 2.576*0.030129

MOE = 0.078

Hence the margin og error is 0.078

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2 years ago
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