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kkurt [141]
3 years ago
13

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn

ows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?
Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

(6 , 29/8)

Step-by-step explanation:

Let divide the segment into 8 equal parts (since 3 (CE) + 5(ED) = 8)

(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit

(3 - 4) / 8 = -1/8. So each y-segment shall be -1/8 unit.

CE will represent 3/8 of the relative line.

Ex = 3 + 1 * 3 = 3 + 3 = 6

Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8

(6 , 29/8) is the final answer  

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Read 2 more answers
The second step in the process for factoring the trinomial is to:
emmainna [20.7K]
Example:  <span>the second step in the process for factoring the trinomial x^2-3x-40 is to:</span> <span>Well you really should find the sum of the factors of −40 (not 40) </span>
<span>But before you can do that, you need to LIST the factors of −40 (not 40) </span>
<span>−1 * 40 </span>
<span>−2 * 20 </span>
<span>−4 * 10 </span>
<span>−5 * 8 </span>
<span>−8 * 5 </span>
<span>−10 * 4 </span>
<span>−20 * 2 </span>
<span>−40 * 1 </span>

<span>NOW we find the sum of the factors of −40 </span>
<span>−1 + 40 = 39 </span>
<span>−2 + 20 = 18 </span>
<span>−4 + 10 = 6 </span>
<span>−5 + 8 = 3 </span>
<span>−8 + 5 = −3 </span>
<span>−10 + 4 = −6 </span>
<span>−20 + 2 = −18 </span>
<span>−40 + 1 = −39 </span>

<span>Then we choose the factors of −40 whose sum is −3 ---> −8 and 5 </span>
<span>x^2 − 3x − 40 = (x − 8) (x + 5) </span>

<span>So FIRST step is B, SECOND step is C, and final step is factoring. </span>
What Rita did was combine these 2 steps together, which you will learn to do as you get better at factoring.
8 0
3 years ago
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