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frez [133]
3 years ago
7

83. For what value of K will the points (1, 4), (-3, 16) and (k, -2) lie on one straight line.​

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0

Answer:

I don't know

Step-by-step explanation:

I don't know

Ede4ka [16]3 years ago
6 0

Answer:

k = 3

Step-by-step explanation:

If the points lie on the same line then the slope between the points will be equal.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 3, 16)

m = \frac{16-4}{-3-1} = \frac{12}{-4} = - 3

Repeat the process and equate to - 3

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (k, - 2)

m = \frac{-2-4}{k-1} = \frac{-6}{k-1} , then

\frac{-6}{k-1} = - 3 ( multiply both sides by k - 1 )

- 6 = - 3(k - 1) ← divide both sides by - 3

2 = k - 1 ( add 1 to both sides )

3 = k

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aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0
1 year ago
Can someone help me please!!
hodyreva [135]

Answer:

  1. idk

Step-by-step explanation:

i just need points :/ v

8 0
3 years ago
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?​
nexus9112 [7]

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

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Hope this helps!

4 0
3 years ago
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the
morpeh [17]

Answer:

Option D. h(2) = 16

Step-by-step explanation:

Verify each statement

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The statement is false

Because

we know that

h(8)=19 -----> given value

and

If h(8) = 21  then f(x) is not a function

case B) h(13) = 18

The statement is false

Because x=13 not belong to the domain of the function

case C) h(-3) = -1

The statement is false

Because

x=-3 belong to the domain

but

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case D) h(2) = 16

The statement could be true

Because

x=2 ----> belong to the domain of the function

h(2)=16 ----> belong to the range of the function

5 0
3 years ago
If MN = PQ AND PQ = RS then MN = RS
shtirl [24]
The answer for this problem would be : true
8 0
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