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alexdok [17]
3 years ago
15

Consider the following equation with the solution (1,3) equation 1 of the system: 2x y=5 equation 2 of the system: x-2y=-5

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
This is the solution to the system of equations.
1st Answer: x=1
2nd Answer: y=1
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A rectangular parking lot has a perimeter of 820ft. The area of the Parking lot measures 42000 ft2. What is the width of the par
quester [9]
2W + 2L = 820 
<span>LW = 42,000 or L = 42,000/W </span>
<span>substitute second equation into first equation: </span>
<span>2W + 2(42,000/W) = 820 </span>
<span>2W + 84,000/W = 820 </span>
<span>2W^2/W + 84,000/W = 820W/W </span>
<span>2W^2 - 820W + 84,000 = 0 </span>
<span>quadratic formula: </span>
<span>W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2) </span>
<span>W = [820 +/- 20]/4 </span>
<span>W = 200, 210 </span>
<span>using second equation: </span>
<span>L = 42,000/200, 42,000/210 = 210, 200 </span>
<span>The dimensions of the parking lot are 200ft by 210ft.</span>
3 0
4 years ago
Read 2 more answers
Triangle ABC is a right triangle. If AC=12 and BC=13 find AB.
stepladder [879]

Answer:

5

Step-by-step explanation:

by pythagoras theorem

(hyp)^2=(leg1)^2+(leg2)^2

the hypotenuse is the side opposite to 90 degree (BC=13)

AC=leg 1 = 12

13^2=12^2 + leg 2^2

169=144+ leg 2^2

leg2 ^2=169-144

leg2^2= 25

leg2= root 25

leg2=5

7 0
3 years ago
Read 2 more answers
The sum of three numbers is 13. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67
Jet001 [13]

Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

3 0
2 years ago
Round the decimals to the nearest whole number.<br> 7.48<br> 7.291<br> 7.604<br> 7.81
maks197457 [2]
7.48-7.00
7.291-7.00
7.604-8.00
7.81-8.00
6 0
4 years ago
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle i
olga2289 [7]

Answer:

<h2>6.3inches</h2>

Step-by-step explanation:

s=  \frac{ \alpha }{360}  \times 2\pi \: r \\  \alpha  = 45 \\ r = 8

s=  \frac{45}{360}  \times 2 \times 3.14 \times 8 \\ s=  \frac{1}{8}  \times 50.24 \\

s=  \frac{50.24}{8}  \\ s = 6.28

7 0
4 years ago
Read 2 more answers
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