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xxMikexx [17]
2 years ago
13

What is the answer to this help me please ​

Mathematics
1 answer:
liubo4ka [24]2 years ago
5 0

Answer:

australia

Step-by-step explanation:

You might be interested in
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

7 0
2 years ago
On factorising 14pq + 35pqr. we get?
Anna71 [15]

Answer:

7pq( 2 + 5r)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone answer these pls!! I will be glad to have you answer them !! I need this done by tomorrow!
BARSIC [14]

Answer:

7/8=0.875   7/20=0.35   18/20=0.9    7/8=0.875    68/50=1.36     25/20=1.25 26/25=1.04   11/10=1.1     11/16=0.6875  9/16=0.5625  33/40=0.825  23/40=0.575   14/10=1.4     29/25=1.16  39/40=0.975

Step-by-step explanation:

5 0
3 years ago
Evaluate |x - 13| when x=5.
bixtya [17]

Answer:

8

Step-by-step explanation:

|x - 13|

Let x =5

|5 - 13|

|-8|

Absolute value means positive

8

4 0
3 years ago
Read 2 more answers
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. the store p
vovangra [49]
The answer is: 16
Explanation:
Notepads of the same color = 4 (we have 4 colors). As we have two sizes then total for the same color=4*2=8Notepads of the different colors = 4C3=4 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=4*2=8Total=8+8=16
3 0
3 years ago
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