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Brut [27]
3 years ago
15

A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?

Mathematics
2 answers:
Alik [6]3 years ago
8 0

Answer:

k = 6

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find <em>b</em>

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find <em>k</em>

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

Reika [66]3 years ago
8 0

Answer: 6

Step-by-step explanation:

As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.

You might be interested in
What is the solution to the equation 1/4x = 5?
puteri [66]
The solution to your equation is:

Solve:
1/4x = 5

Step 1: Multiply both sides by 4
4 * (1/4x) = (4) * (5)

x = 20


Thus your answer is:

Letter Choice (C), x = 20





Hope that helps!!!



5 0
3 years ago
M&lt;2 = 4x - 26,<br> m&lt;3 = 3x + 4
mestny [16]

Answer:

m<2 = 4x - 26 = 4(30) - 26 = 94 degrees

m<3 = 3x + 4 = 3(30) + 4 = 94 degrees

Step-by-step explanation:

Congruent angles are equal, so m<2 = m<3

4x - 26 = 3x + 4

x = 30

m<2 = 4x - 26 = 4(30) - 26 = 94 degrees

m<3 = 3x + 4 = 3(30) + 4 = 94 degrees

8 0
3 years ago
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Sloan [31]

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

4 0
3 years ago
How many solutions does this equation have?
IgorLugansk [536]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HELP ME PLEASE, i will give brainliest
max2010maxim [7]

Based on the right angle triangle and the given parameters, cos K = 5/13

<h3>Trigonometric ratios</h3>

  • sin = opposite / hypotenuse

  • cos = adjacent / hypotenuse

  • Tan = opposite / adjacent

Given parameters:

  • Hypotenuse = 13
  • Adjacent = 5
  • Opposite = 12

Therefore,

cos K = adjacent / hypotenuse

cos K = 5/13

Learn more about right triangle:

brainly.com/question/2217700

#SPJ1

6 0
2 years ago
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