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Ronch [10]
3 years ago
8

Solve for x. have to turn in by tomorrow !

Mathematics
1 answer:
Elanso [62]3 years ago
7 0
To solve this problem you must apply a theorem called: Intersecting secant theorem. The proccedure is shown below:

 1) For the figure shown on the left:

 (5)(x+5)=(6)(4+6)
 5x+25=60
 5x=60-25
 x=35/5
 x=7

 
2) For the figure shown on the right:

 (3)(3+5)=(4)(x+4)
 24=4x+16
 24-16=4x
 8=4x
 8/4=x
 x=2
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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Wittaler [7]

Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

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\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

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The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

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