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Lerok [7]
3 years ago
8

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line A passes t

hrough points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1). At what point does line A intersect line B?
Mathematics
1 answer:
natulia [17]3 years ago
5 0
Line A
slope = (-1 - 5)/(3+1) = -6/4 = -3/2
y = mx + b
5 = -3/2(-1) + b
b = 5 - 3/2
b = 7/2
equation of line A: y  = -3/2x + 7/2

Line B
slope = (-1 - 2)/(6-7) = -3/-1 = 3
y = mx + b
2 = 3(7) + b
b = 2- 21
b = - 19
equation of line B: y  = 3x -19

line A intersect line B when -3/2x + 7/2 =  3x -19
so
-3/2x + 7/2 =  3x -19
3x + 3/2x = 19 + 7/2
9/2x = 45/2
     x = (45/2) * (2/9)
     x = 5

     y  = 3x - 19 = 3(5) -19 = 15 -19 = -4

    (5 , -4)

answer
line A intersect line B at (5, -4)
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5 0
3 years ago
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What are 2 different equivalent fractions for LaTeX: \frac{2}{6}2 6 ? *In your answer, use a "/" as a fraction bar symbol. For e
Orlov [11]

Answer:

<em> 4/12 and 6/18</em>

Step-by-step explanation:

Given the fraction 2/6

We are to write  2 different equivalent fractions that are the same as 2/6

To do this, we will multiply the numerator and denominator of the fraction by same constant. Multiply the numerator and denominator by 2 will give;

2/6 * 2/2

= (2*2)/(6*2)

= 4/12

Also multiplying by a value of 3

= 2/6 * 3/3

= (2*3)/(6*3)

= 6/18

<em>Hence the 2 different equivalent fractions are 4/12 and 6/18</em>

3 0
3 years ago
What is the sum of the first 39 positive odd numbers?
liq [111]
1-39 ODD:
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Now you'd add them all up.
1+3+5+7+9 = 25
11+13+15+17+19 = 75
21+23+25+27+29 = 125
31+33+35+37+39 = 175
Add the totals:
25+75+125+175
The answer would be 400.
7 0
4 years ago
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