3 years ago

What is y=2x+1 as a graph

1 answer:

4 0

It's a straight line that crosses the y-axis at the point where y=1, and it has
a slope of +2. (For every inch that it travels from left to right, it rises 2 inches.)

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Use Cramer's Rule to find the determinant of the coefficient matrix of this system of equations.

Andrew [12]

Answer:

Determinant = -12

Step-by-step explanation:

rewrite the system as

-2 = 2x - 3y + 0z

0 = 0x + y - 2z

1 = -3x + 2y - z

then the coefficient matrix is

{ [2, -3, 0]

[0, 1, -2]

[-3, 2, -1] }

to find determinant

{ [2, -3, 0] , 2, -3

[0, 1, -2] , 0, 1

[-3, 2, -1] }, -3, 2

determinant = 2*1*-1 + (-3 * -2 * -3) + (0*0*2) - 0 - (2*-2*2) - 0

determinant = -2 - 18 + 0 - 0 + 8 = -12

3 0

3 years ago

Find the value of x. correct answer please

liq [111]

Answer:

$x = \sqrt{30}$

Step-by-step explanation:

By Geometric mean property:

$BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30}$