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o-na [289]
3 years ago
8

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)? Here are the options f(x) = –2/

3x – 11, f(x) = –2/3x – 1, f(x) = –2/3 + 3, f(x) = –2/3x + 13.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

The correct answer is: f(x) = –2/3x – 11

Step-by-step explanation:

We have to convert the line given in point slope form to a form which can be compared by the given options

So,

y+7=-2/3(x+6)

y=-\frac{2}{3}(x+6)\\ y+7=-\frac{2}{3}x+(6)(-\frac{2}{3}) \\ y+7=-\frac{2}{3}x-4\\y=-\frac{2}{3}x-4-7\\y=-\frac{2}{3}x-11

Therefore the correct answer is: f(x) = –2/3x –11 ..

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f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


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Step-by-step explanation:

20- 120

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Answer:

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Given the figure, find the values of x and z.
matrenka [14]

Answer:

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EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

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y = 180-97

y = 83

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3 years ago
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