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crimeas [40]
3 years ago
8

Determine the intercepts of the line 4x-3y=17

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer:

x-intercept = 17/4 and y = -17/3

Step-by-step explanation:

To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.

To

4x - 3y = 17

4(0) - 3y = 17

0 - 3y = 17

  y = 17 /-3

 y = -17/3 = -5 2/3       y-intercept = -5 2/3.

The ordered pair on the graph is (0, -17/3)

   4x - 3(0) = 17

     4x - 0 = 17

      4x = 17

       x = 17/4       x-intercept = 17/4

    The ordered pair on the graph is (17/4, 0)

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It will take Mr. warner 15 1/2 hours to install a fence. Each day he works 1 1/3 hours on the fence. After he finished working o
zmey [24]
15.5-3.5=12. this is how many hours he has worked already.

12/1⅓=9. this is because how many hours he has worked per how many hours he worked per day to show how many days he worked

the answer is 9 days.

12hours * 1day/1⅓ hours
^^ignore that if it doesn't make sense, but basically the hours will cancel and you'd be left with days as your only unit to show why you would divide 12 by 1⅓


hope this helped!
8 0
3 years ago
Ab=6cm<br> Ac=12cm<br> Calculate the length of CD
KatRina [158]

Answer:

12.7 cm

Step-by-step explanation:

ABC

12² = 6² + BC²

12² - 6² = BC²

144 - 36 = 108

CB² = 108

√108 = 10.392

CB = 10.392

CBD

Sin (55°) = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686

CD = 12.7cm

3 0
3 years ago
This graph shows a proportional relationship.<br> What is the constant of proportionality?
Vlad1618 [11]

Answer:

3/4

Step-by-step explanation:

there is no y intercept but it is 3/4 when you simplify

4 0
3 years ago
If a function rule is 3n-2 what is the output for an input of 2
nikdorinn [45]
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4
3 0
3 years ago
Need help ASAP !!! And show work please
sammy [17]

Answer:

\sqrt{40} or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}

or 6.32

6 0
3 years ago
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