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aliya0001 [1]
3 years ago
9

Which linear equation is represented by the table?

Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:

On E. the first answer is = -2.5x-15 and the solution is (-6,0)

Step-by-step explanation:

I just guessed this on E. and got it right.

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What is the value of x?
lina2011 [118]

Answer : The value of x is 5.

Step-by-step explanation :

According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

That means,

\frac{AB}{BD}=\frac{AC}{CD}

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By the cross multiplication, we get:

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Therefore, the value of x is 5.

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Extended Problems, Extraneous Solutions
diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

(x + 2 =  \sqrt{3x + 10}

Square both sides

(x + 2) {}^{2}  = 3x + 10

Remeber perfect square Rule

(x + y) {}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}

So now we got

x {}^{2}  + 4x + 4 = 3x + 10

{x}^{2}  + x + 4 = 10

{x}^{2}  + x - 6 = 0

Factor into binomial.

(x + 3)(x - 2) = 0

So our solution is 3 or 2. However, let's check our work.

- 3 + 2 =  \sqrt{3( - 3) + 10}

- 1 =  \sqrt{1}

However square root of 1 is 1. It could be 1 but in Math, <em>We</em><em> </em><em>only</em><em> </em><em>take</em><em> </em><em>the</em><em> </em><em>principal</em><em> </em><em>square</em><em> </em><em>root</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em> </em><em>positive</em><em> </em><em>always</em><em>.</em><em> </em><em>So</em><em> </em><em>-3</em><em> </em><em>isn't</em><em> </em><em>a</em><em> </em><em>solution</em><em>.</em>

<em>So</em><em> </em><em>let</em><em> </em><em>try</em><em> </em><em>2</em><em>.</em>

<em>2 + 2 =  \sqrt{3(2) + 10}  = 4 =  \sqrt{16}  = 4 = 4</em>

<em>So</em><em> </em><em>this</em><em> </em><em>is</em><em> </em><em>indeed</em><em> </em><em>the</em><em> </em><em>solution</em><em>.</em>

<em>Make</em><em> </em><em>up</em><em> </em><em>equation</em><em> </em><em>for</em><em> </em><em>2</em><em> </em><em>and</em><em> </em><em>3</em><em>.</em><em> </em><em>Ask</em><em> </em><em>me</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>need</em><em> </em><em>help</em><em>.</em>

5 0
2 years ago
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