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3 years ago

Given the system of equations, what is the value of the system determinant? x + y = 8 x - y = 10 0 -1 -2

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

Each X and Y in the equations don't have a number in front of them so they are all considered 1.

D = 1*(-1) - 1*(-1) = -1 -1 = -2

The answer is -2

Bond [772]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

We need to set up the matrix to find the determinant

a b

c d

To find the determinant we take ad - bc

x + y = 8

x - y = 10

Take the coefficients of the x and y terms

1 1

1 -1

1 (-1) - (1) *1

-1 - 1

-2

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2 years ago

Sally buys a handbag. there was a discount of 30%. if sally paid, $17.50, what was the original price?

andrew11 [14]

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3 years ago

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2 years ago

Which of the following sets of lengths can Sean use to make a right triangle?

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

$c^2=a^2+b^2$

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

Verify each case

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

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2 years ago