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Maurinko [17]
2 years ago
7

Please help me! i need some to explain the equation for this.

Mathematics
2 answers:
topjm [15]2 years ago
6 0

Answer:

  (b)  21.4

Step-by-step explanation:

There are a couple of interesting relations regarding chords and secants and tangents of a circle. With the right point of view, they can be viewed as variations of the same relation, possibly making them easier to remember.

When chords cross inside a circle (as here), each divides the other into two parts. The product of the lengths of the two parts of one chord is the same as the product of the lengths of the two parts of the other chord.

Here, that means ...

  7x = 10·15

  x = 150/7 = 21 3/7 ≈ 21.4

_____

<em>Additional comment</em>

A secant is a line that intersects a circle in two places. (A tangent is a special case of secant where the two points of intersection are the same point.) When two secants meet outside the circle, there is a special relation between the lengths of the various line segments.

Consider the line segment from the point where the secants meet each other to the far intersection point with the circle. The product of that length and the length to the near intersection point with the circle is the same for both secants.

Here's the viewpoint that merges these two relations:

<em>The product of the lengths from the point of intersection of the lines with each other to the two points of intersection with the circle is the same for each line</em>.

(Note that when the "secant" is a tangent, that product is the square of the distance from the tangent point to the point of intersection with the other line--the distance to the circle multiplied by itself.)

antoniya [11.8K]2 years ago
6 0

According to the Question,

\rm7x = 10 \times 15

\rm x =  \frac{150}{7}

\bf x = 21.4

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2 years ago
The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at
gayaneshka [121]
I made my own graph using the given points. Pls. see attachment. 

<span>Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.

I used paint program to graph the points based on the given data. 
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y = mx + b

b is the y-intercept. It is the value of y when x is 0. In this case, b = 3.5
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y = 1/4 x + 3.5 

Since we are looking for a system of inequality and the portion shaded is in the upper part of the line, the value of y will be greater than or equal to.

y </span>≥ 1/4x + 3.5<span>

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A.

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y ≥ 1/4x + 3.5

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<span>
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C(-4,2) ; x = -4 : y > 2(-4) - 2 </span>→ -8 - 2 → -10. PASSED. 2 is greater than -10.<span> 
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E(3,1) ; x = 3 : y > 2(3) - 2 </span>→ 6 - 2 → 4. DID NOT PASS. 1 is lesser than 4.<span>
F(-2,3) ; x = -2 ; y > 2(-2) - 2 </span>→ -4 - 2 → -6. PASSED. 3 is greater than -6.

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5 0
3 years ago
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