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IRISSAK [1]
3 years ago
9

3 ( 4x + 8 )+ 3 ( 2x - 6 )​

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0
The answer to this question is 18x+6
melamori03 [73]3 years ago
8 0

Answer:

18x + 6

Step-by-step explanation:

3(4x + 8) + 3(2x - 6)

Multiply into the parenthesis

12x + 24 + 6x - 18

Combine like terms

18x + 6

Hope this helps :)

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Find the distance between the points (-7, -6) and (-3, 0).
FrozenT [24]

Answer:

7.21 unit

Step-by-step explanation:

distance= √[(-7+3)^2 + (-6-0)^2]

= 7.21 unit

5 0
3 years ago
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
Given f(x)=½(8-2x), what is the value of f(-5)? help plez
guajiro [1.7K]

Answer:

9

Step-by-step explanation:

f(x)=½(8-2x)

Let x = -5

f(-5)=½(8-2* (-5))

     =½(8+10)

     =½(18)

     =9

8 0
2 years ago
Read 2 more answers
Consider the line y=8x-7
Goshia [24]

Answer:

1.8

2.-1/8

Step-by-step explanation:

Just take the number next to the x for #1 Just take the x away and for #2 just make a fraction by doing this 1/8

6 0
3 years ago
Read 2 more answers
What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph as
Butoxors [25]

Answer:

  degree measure = 360° × percent of data

Step-by-step explanation:

The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.

The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.

The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.

7 0
3 years ago
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