MATHEMATICS MIDDLE SCHOOL

Suppose k and l are fixed numbers. Since the following are lines with different slopes, the graphs of the two lines y=18x+k and y=5x+l must always intersect somewhere. Find a formula, using k and l, for the intersection point. Please say how you found the formula. Thanks.

Answers

Answer 1

Answer:

answer:

Contd.

Explanation:

We will use the following well-known

Result : The eqn. of a line l passing through the pt. of

intersection of the lines l1:a1+b1+c1=0andl2:a2x+b2y+c2=0 is of

the form

Result :

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$a= (7-2)/(101) = (5)/(101) \n\nx_1=2+a=2 (5)/(101)\n\nx_2=2+2a=2 (10)/(101)\n\nx_3= 2+3a=2 (15)/(101)\n\n....\n\nx_(98)=7-3a=7- (15)/(101)=6 (86)/(101)\n\nx_(99)=7-2a=7- (10)/(101)=6 (91)/(101)\n\nx_(100)=7-a=7- (5)/(101)=6 (96)/(101)$

My view is that between any two rational numbers, there are
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isabel lives 3/4 mile from school, Janet lives 2/3 mile from school how much farther in miles does isabel live from school than Janet?

Answers

Isabel lives 1/12 mile farther than Janet from the school.

Given that, Isabel lives 3/4 mile from school, and Janet lives 2/3 mile from the school.

We need to find how much farther in miles does Isabel live from school than Janet.

How to subtract, unlike fractions?

Addition and subtraction of unlike fractions:

Step I: Obtain the fractions and their denominators.

Step II: Find the LCM (least common multiple) of the denominators.

Step III: Convert each fraction into an equivalent fraction having its denominatorequal to the LCM (least common multiple) obtained in Step II.

Now, 3/4-2/3=9/12-8/12

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Therefore, Isabel lives 1/12 mile farther than Janet from the school.

To learn more about the subtraction of fractions visit:

brainly.com/question/485310.

#SPJ2

Hey There!

Steps to solve (steps will be in numerical order)

1. Find the lcd of the fractions $(3)/(4)$ and $(2)/(3)$ . The lcd for both problems will be 12.

2. To rewrite $(3)/(4)$ you have to multiply the numerator and denominator by three since the lcd is 12. So you're new fraction will be $(9)/(12)$ . For the second fraction, since the lcd is 12 you will multiply the numerator and denominator by 4. You're new fraction will be $(8)/(12)$ .

3. Since the problem contains the math keyword "Further", you automatically know you have to subtract, now subtract $(9)/(12)$ - $(8)/(12)$ . First, start of by subtracting the numerators, so subtract 9-8=1 , remember the denominators will always stay the same.

In conclusion, you're answer will be $(1)/(12)$ , so Isabel lives $(1)/(12)$ farther away from Janet.

Hope This Helps :)

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