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natali 33 [55]
3 years ago
13

How do I solve this???​

Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation of a proportional relationship: y = mx.

METHOD 1:

We know: If x and y are in a proportional relationshi, then the ratio y/x is constant

\dfrac{y}{x}=const.

We have P(3, 2) and Q(x, 6). Therefore

\dfrac{2}{3}=\dfrac{6}{x}             <em>cross multiply</em>

2x=(3)(6)              <em>divide both sides by 2</em>

x=\dfrac{18}{2}

x=9

METHOD 2:

<em>(look at the picture)</em>

The graph of y = mx is a straight line passes through the origin.

Step 1.

Plot point P(3, 2) on the graph.

Step 2.

Draw the line passes through he origin and point P.

Step 3.

Draw the line y = 6  <em>(6 from the coordinates of Q(x, 6))</em>

Step 4.

The intersection of lines is the point Q. Read the coordinte x.

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What is the equation of the line that passes through the points (-1, 1.5) and (0.5, 0.5)
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Pls pls help I’m really confused could someone explain to me pls
kenny6666 [7]
Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is 
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Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

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