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MatroZZZ [7]
3 years ago
10

Answere 1,2,3 Please help

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0
A.= 9/8 OR 1 1/8
B.= 11/12
C.= 17/12 OR 1 5/8


Airida [17]3 years ago
5 0
1. 1   1/8
2. 11/12
3. 1   5/12
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Lines k and n intersect on the y-axis
avanturin [10]

a) The equation of line k is:

y = -\frac{202}{167}x + \frac{598}{167}

b) The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

The equation of a line, in <u>slope-intercept formula</u>, is given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • Line k intersects line m with an angle of 109º, thus:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

In which m_1 and m_2 are the slopes of <u>k and m.</u>

  • Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}

  • The tangent of 109 degrees is \tan{109^{\circ}} = -\frac{29}{10}
  • Thus, the slope of line m is found solving the following equation:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}

m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2

m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}

\frac{167m_2}{80} = \frac{-202}{80}

m_2 = -\frac{202}{167}

Thus:

y = -\frac{202}{167}x + b

It goes through point (-2,6), that is, when x = -2, y = 6, and this is used to find b.

y = -\frac{202}{167}x + b

6 = -\frac{202}{167}(-2) + b

b = 6 - \frac{404}{167}

b = \frac{6(167)-404}{167}

b = \frac{598}{167}

Thus. the equation of line k, in slope-intercept formula, is:

y = -\frac{202}{167}x + \frac{598}{167}

Item b:

  • Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

-\frac{202}{167}m = -1

m = \frac{167}{202}

Then

y = \frac{167}{202}x + b

Also goes through point (-2,6), thus:

6 = \frac{167}{202}(-2) + b

b = \frac{(2)167 + 202(6)}{202}

b = \frac{1546}{202}

The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

A similar problem is given at brainly.com/question/16302622

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2 years ago
What is the distace tweenn (4,-7) and (-5,-7)
love history [14]
The distance between them is 9.
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What is the chance of rolling a 4 with a single die four times in a row?
BlackZzzverrR [31]

Answer:

16.66

Step-by-step explanation:

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3 years ago
The quotient of 254 and k is 94
Rashid [163]

Answer:

k is 23876

Step-by-step explanation:

you have to multiply 254 and 94 by eachothe then that's your answer!

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2 years ago
What is the graph of the equation 9x^2 + 4y^2 - 18x + 8y - 23 = 0 ?<br> Also, how did you get that?
Dmitriy789 [7]
13xy^2-10xy-23=0

you first add the like terms and rewrite and thats how you get the answer
8 0
3 years ago
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