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Elis [28]
2 years ago
8

the diagram shows graphs of y=1/2x+2 and 2y+2x=12. Use the diagram to solve the simultaneous equations

Mathematics
2 answers:
myrzilka [38]2 years ago
8 0

Answer:

\mathsf {(2.66, 3.33)}

Step-by-step explanation:

\textsf {Given :}

\mathsf {1) y = \frac{1}{2}x + 2}

\mathsf {2) 2y + 2x = 12} \implies \mathsf {y + x = 6} \implies \mathsf {y = -x + 6}

\mathsf{Solving :}

\textsf {Equating the values of y from both equations :}

\implies \mathsf {\frac{1}{2}x + 2 = -x + 6}

\implies \mathsf {\frac{3}{2}x = 4}

\implies \mathsf {3x = 8}

\implies \mathsf {x = \frac{8}{3} \implies {x = 2.66...}}

\textsf {Finding y :}

\implies \mathsf {y = -\frac{8}{3} + 6}

\implies \mathsf {y = \frac{18 - 8}{3}}

\implies \mathsf {y = \frac{10}{3}} \implies \mathsf {y = 3.33...}

\textsf {Graph of equations is attached below.}

OlgaM077 [116]2 years ago
6 0

Answer: (2.67, 3.33)

Explanation:

For the function y = 1/2x + 2

  • y-intercept = (0, 2)
  • x-intercept = (-4, 0)

\hrulefill

For the function 2y + 2x = 12

  • y-intercept = (0, 6)
  • x-intercept = (6, 0)

Draw lines through these coordinates to produce a straight linear graph.

Then see, where they intersect each other. <em>Intersection point</em> : (2.67, 3.33)

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If a wagon wheel has a diameter of 70cm, how many revolutions would it take to travel 66 METERS?
ddd [48]

Answer:

30 revolutions

Step-by-step explanation:

to calculate the revolution of the wheels in 66 metres we need to get the circumference

circumference = 2πr, r = radius (diameter divided by 2) but from the formula of circumference we ca rewrite it as πd= 3.14 x 70 = 219.8cm

next convert 66 metres to cm

100cm = 1m

x= 66m

cross multiply

x= 66m x100cm/1m= 6600cm

revolutions in 66metres = 6600cm/219.8cm = 30.0272975 ≅30 revolutions

6 0
3 years ago
A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0
3 years ago
Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, h
maksim [4K]

Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

6 0
3 years ago
What linear function represents the line given by the point slope equation y + 1 = -3(x - 5)<br>​
Elena L [17]

Answer:

y=-3x+14

Step-by-step explanation:

y+1=-3(x-5)

y=-3x+15-1

y=-3x+14

4 0
3 years ago
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