Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6

Mathematics

1 answer:

juin [17]2 years ago

6 0

9514 1404 393

Answer:

(x, y) = (1, -1)

Step-by-step explanation:

The augmented matrix of coefficients for these equations is ...

$\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]$

The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...

$\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]$

This tells you the solution is (x, y) = (1, -1).

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The lengths of two sides of the isosceles triangle are the ratio of 6:5. The perimeter of the triangle is 32cm. What is the area

Degger [83]

Sorry I'm late! xx
Okay, so two of the sides in an isosceles triangle are of the same length. The lengths are either in the ratio 5:5:6 or 5:6:6
The perimeter is 32 cm

If we take the first ratio, 5:5:6, then we have 16 "parts". Let the length of each "part" be referred to as "x"
So, 16x = 32, and so x = 2

So, the ratio of the sides are 10 cm, 10 cm, 12 cm.

To find the height, "h", we need to use Pythagoras' Theorem, with 10 being the hypotenuse and 6 being the horizontal side (think of a line cutting straight down the middle of the isosceles triangle)
h^2 + 36 = 100
h = 8 cm

Area of a triangle is 0.5 x base x height. So, 0.5 x 12 x 8 = 48 cm^2

Hope I helped!! xx

5 0

3 years ago

A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.

natta225 [31]

Answer:

Step-by-step explanation:

8^2 + 15^2 = ?

64 + 225 = 17^2

289 = 289

$\sqrt{289} = \sqrt{289\\} \\ 17 = 17$