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SashulF [63]
3 years ago
9

Solvę for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Use secant-tangent product theorem.

1. Set up the equation

(x-3)(x-3+5) = (x-1)²

2. Solve

(x-3)(x+2) = (x²-2x+1)

(x²-x-6) = (x²-2x+1)

3. Solve for x

Subtract x² from both sides

-x-6 = -2x+1

Add 2x and 6 to both sides

x = 7

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What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
2 years ago
The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​
wariber [46]

Answer:

<em>y - 7 = 1 (x-5)</em>

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>

<em></em>

<em></em>

3 0
2 years ago
Jennifer is flying from Montana to South Carolina for vacation. Her flight leaves at 6:30 a.m. MST. Her flight is 3 hours. What
snow_lady [41]
11:30 am is the time for south carolina when she lands :)
7 0
2 years ago
What is the ratio
storchak [24]
9;9
Explanation:
You divide 18 by 2 to get 9 and divide 27 by 3 to get 9.

Hope that helps!

3 0
2 years ago
Would like to know how to do this problem.
bogdanovich [222]

well it would be very helpful thank you

8 0
2 years ago
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