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earnstyle [38]
3 years ago
6

Solve the following system by using substitution. 4x+2y=18 y=x+3

Mathematics
1 answer:
Kay [80]3 years ago
7 0
X=2, y=5 hope it helps
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Evaluate S(3)=10+20log4(3+1)
dimulka [17.4K]
Asssuming you mean

evaluate 10+20log_4(3+1)

remember log_a(a)=1
so
10+20log_4(3+1)=
10+20log_4(4)=
10+20(1)=
10+20=
30
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3 years ago
Billy plotted −3
Darina [25.2K]

He is correct.

The further away ( to the left) from 0 a negative number is the smaller it is.

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3 years ago
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Simplify 8u+9v+3u−5v
REY [17]
Combine like terms:

11u+4v
8 0
4 years ago
Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11
a_sh-v [17]

Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

6 0
3 years ago
The angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle
mojhsa [17]

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

  • 1 : 2 : 3 = 6 (1 + 2 + 3)
  • x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

  • 1 × 30 = 30°
  • 2 × 30 = 60°
  • 3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!

3 0
3 years ago
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