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adell [148]
2 years ago
7

X + y = 2

Mathematics
1 answer:
liraira [26]2 years ago
8 0

Answer:

D. (3,-1)

Step-by-step explanation:

x + y = 2  \:  \:  \:  \:  \:  \: ..(1) \\ 2x - y = 7 \:  \:  \:  \: ..(2)

from equation 1 we get,

x = 2 - y

now,

put \:  \:  \:  \: x = 2 - y \:  \:  \: in \: (2)

we get,

2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\  - 3y = 7 - 4 \\  - 3y = 3  \\  \\ y =  \frac{3}{( - 3)}  \\  \\ y =  - 1

now,

put \:  \:  \:  \: y =  - 1 \:  \:  \:  \: in \: (1)

we get,

x + ( - 1) = 2 \\ x - 1 = 2 \\ x = 2  + 1 \\ x = 3

hence, the value of x = 3 and y = (-1)

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Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
2 years ago
Simplify 3^2 x 2^4 x 3^3 x 2
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3 0
3 years ago
Which of these items will help you determine if you can afford a particular house?
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3 years ago
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A phone sells for $245. It is now on sale for 20% off the original price. How many dollars off is the phone?
Marysya12 [62]

Answer:

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