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3 years ago

11

NEED HELP ASAP PLEASE HELP!

2 answers:

Alborosie3 years ago

8 0

Both expressions are equivalent.

To prove that, let x equal a random number. For example, let x=1.
-2+3x and 3x+(-2)
-2+ (3 X 1)= 1.
(3 X 1) + (-2) =1

Lorico [155]3 years ago

4 0

These two expressions are equivalent because if you had an equal sigh and equal it to the same answer like 3x+(-2)=2.

Anyways this is called the communative property. The comunuty property is when you change the statement of the equation or the expression.

Im sorry, explaining this is really weird. Trust me this is easier then it sounds. I hope this helps you.

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3 years ago

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4 years ago

L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1

Ivenika [448]

Answer:

40 sq units

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$5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}$

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$m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2$

$L_2$ passes through point $(8,6)$

$y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10$

Point at x axis where $L_2$ intersects is

$0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5$

Point $A$ of the triangle will be $(5,0)$

$L_2$ intersects line $x=-3$ . The point is

$y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16$

The points of the triangle are $A(5,0), O(0,0), B(-3,-16)$

Area of triangle is given by

$A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}$

The area of the triangle is 40 sq units.

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3 years ago