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Ymorist [56]
3 years ago
9

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?. .a. y = 2x – 2. b.y = 2x + 2. c.y = x + 2.

d. y = x – 2
Mathematics
2 answers:
nika2105 [10]3 years ago
6 0

the equation for a line is y = m x  + b


using the first set of coordinates (0,2)
2 = m * 0 + b
b = 2

using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1

 use those numbers into the line equation

y = x +2

Answer is C

madreJ [45]3 years ago
5 0

Answer:

The equation of line is y = x + 2 .

Option (c) is correct .

Step-by-step explanation:

The equation of line is represented by

(y-y_{1}) = \frac{(y_{2}-y_{1})}{x_{2}-x_{1}} (x-x_{1})

As given

Line CD passes through points (0, 2) and (4, 6).

(y-2) = \frac{(6-2)}{4-0}(x-0)

(y-2) = \frac{4}{4}(x-0)

y -2 = x

y = 2 + x

Therefore the equation of line is y = x + 2 .

Option (c) is correct .

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Answer:

Step-by-step explanation:

1 surface area of the cube is s*s.

There are 6 faces on such a cube.

Area = 6*s^2                  Divide by 6

Area/6 = 6s^2 / 6           Do the divsion

Area/6 = s^2

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4 0
3 years ago
Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

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Step 2: Divide both sides by -3.

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