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Len [333]
2 years ago
9

What is the distance, in units, between A(-4,1) and C(-4,-3)?

Mathematics
1 answer:
Temka [501]2 years ago
6 0

Answer:

4 units

Step-by-step explanation:

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In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?
Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

  • The side XY is opposite to angle Z
  • The side YZ is opposite to angle X
  • The side XZ is opposite to angle Y
  • The sine rule is \frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

4 0
2 years ago
What is 2 and 1/5 as a mixed number?
Mama L [17]
Ummmmmmmmm that is a mixed number already
8 0
3 years ago
Read 2 more answers
C•C (c=4) evaluating expressions
bearhunter [10]

Answer:

16

Step-by-step explanation:

if c = 4, then

(c)(c) = 16

if I misinterpreted your equation, please tell me.

5 0
2 years ago
Plz need this asap ONLY ANSWER IF YOU KNOW IT will give brainliest
Natalija [7]

Answer:

<u>1</u> would be your y axis

Step-by-step explanation:

1. so the y axis is up and down

2. the x axis is horizontal side to side

3. the x axis is 0

4. the y axis is positive 1

5. So your anwser would be in the format (x,y)

6. It is (0,<u>1</u>)

7. It is positive

8. Plz name me brainliest I would really appreciate it if you need more help just ask me

Thank You

8 0
2 years ago
3. What are the roots of the polynomial y = x³ - 8?
zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

{a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} )

Cube root of x^3 is x.

Cube root of 8 is 2

So

a=x

b= 2.

(x - 2)( {x}^{2}  - 2x + 4)

Set these equations equal to zero

x - 2 = 0

x = 2

{x}^{2}  - 2x + 4 = 0

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

1 + i  \sqrt{ 3 }

and

1 - i \sqrt{3}

4 0
1 year ago
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