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alexgriva [62]
3 years ago
8

Select the coordinate point that is a solution of equations. 2x+y=7; 3x-4y=5

Mathematics
2 answers:
DedPeter [7]3 years ago
7 0

Answer:

D(3,1)

Step-by-step explanation:

The given equations are:

2x+y=7...(1)

and

3x-4y=5...(2)

Multiply equation (1) by 4.

\Rightarrow 8x+4y=28...(3)

Add equation (2) and (3)

\Rightarrow 11x=33

Divide through by 11.

\Rightarrow x=3

Put x=3 into equation (1)

2(3)+y=7

6+y=7

y=7-6

y=1

The solution is (3,1)

The correct choice is D

grandymaker [24]3 years ago
4 0

Answer:

D (3,1)

Step-by-step explanation:

solving simultaneous equations

Arrange equations

2x+y=7

3x-4y=5

make y side cancell by addition by multiplying by 4 and 1 as shown

4{2x+y=7}

1{3x-4y=5}

8x+4y=28

3x-4y=5

11x=33

x=33/11=3

substitute for x=3 in 3x-4y=5

9-4y=5

4=4y

y=1

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AfilCa [17]

Answer:

Hope this is right.

1. 7(4x-5)

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Step-by-step explanation:

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2 years ago
14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas
jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

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The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

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The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

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The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

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2 years ago
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