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Soloha48 [4]
3 years ago
9

8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

⇒ 3 + k = 8

⇒ k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

Now, putting x = 6 , then from equation (1) we get y = 2

Therefore, (6,2) is also a point on the graph of equation (1). (Answer)

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Step-by-step explanation:

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3 years ago
The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42<br> meters.
Olin [163]

The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:

•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.

•42= 2(7/5l). Multiplying 7/5 by 2.

42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.

•l= 15.

Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.

3 0
3 years ago
Need help with all of this please
Harrizon [31]

Answer:

Step-by-step explanation:

In a right angled triangle, we have perpendicular, hypotenuse and base.

The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.

Applying formulas we can find the values:

the formulas are : cos (Ф) = Base / hypotenuse

sin (Ф) = Perpendicular / hypotenuse

tan (Ф) = Perpendicular / Base

11. cos z

cos z = Base / hypotenuse

cos z = 12/15

12. cos C

cos C = base / hypotenuse

cos C = 38/45

13. tan C

tan C = Perpendicular/ Base

tan C = 40/30

14. tan A

tan A = Perpendicular/ Base

tan A = 21/20

15. tan C

tan C = Perpendicular/ Base

tan C = 12/35

16. tan X

tan X = Perpendicular/ Base

tan X = 30/40

17. sin Z

Sin Z = Perpendicular / Hypotenuse

sin Z = 35/37

18. sin z = Perpendicular / Hypotenuse

sin z = 30/50

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3 years ago
Please help will mark brainiest
guapka [62]

Answer:

I think it is B, AB or CD and AB || CD

Step-by-step explanation:

8 0
2 years ago
Angle of 74° with the ground if the foot of the latter 6.5 feet from the wall, how high on the wall is the ladder?
Pie
Tanα=h/x

h=xtanα, we are told that x=6.5ft and α=74° so

h=6.5tan74 ft

h≈22.67 ft  (to nearest hundredth of a foot)
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3 years ago
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