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ivolga24 [154]
3 years ago
5

Line m passes through point (2,-7) and (4,-9). Line m is parallel to which line?

Mathematics
1 answer:
Reil [10]3 years ago
5 0

As the slope is -1, so any line that has the same slope is parallel.

<u>Solution:</u>

Given points (2, -7) and (4, -9) find the slope, m:

m = \frac{y - y_1}{x - x_1}

\Rightarrow m = \frac{-7 - (-9)}{2 - 4}

m = \frac{-7 + 9}{-2}

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

Any line that has the same slope is parallel.

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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) write an equation, in function nation
Anni [7]

f(x) = 2x - 1

To obtain a function we require values of x for x = 3, 4, 5 , 6, .....

The output appears to increase in steps of 2

3 → 5

4 → 7

5 → 9

6 → 11

Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1

f(x) = 2x - 1 ← is a possible function

checking the values for x in the input


f(3) =(2 × 3 ) - 1 = 5

f(4) = (2 × 4 ) - 1 = 7

f(6) = (2 × 6 ) - 1 = 11

f(11) = (2 × 11 ) - 1 = 21




6 0
3 years ago
6 (x+15) evaluate the expression for x=-4
Gala2k [10]
The answer would be 66.

6(-4 +15)
=
66
4 0
3 years ago
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What pattern is represented by the polynomial ?
Ymorist [56]

Answer:

choice C. Perfect square trinomial is correct.

Step-by-step explanation:

We need to find the pattern which is represented by the polynomial 4x^2+12x+9.

To find that pattern, we need to factor 4x^2+12x+9

4x^2+12x+9

=4x^2+6x+6x+9

=2x(2x+3)+3(2x+3)

=(2x+3)(2x+3)

=(2x+3)^2

which is a perfect square.

Hence choice C. Perfect square trinomial is correct.

8 0
3 years ago
Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the poss
NISA [10]

Answer:

X = {0, 1, 2, 3, 4}

Step-by-step explanation:

If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.

Let's see some examples:

If the PIN is 0000 then X = 4

If the PIN is 2045 then X = 3

If the PIN is 7546 then X = 0

From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.

Thus X = {0, 1, 2, 3, 4}

4 0
2 years ago
In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
Ahat [919]

B

C

=

16.17

(

2

d

p

)

c

m

Explanation:

In triangle ABC, side

A

C

=

15

, Angles are

∠

B

=

68

0

;

∠

C

=

24

0

and

∠

A

=

180

−

(

68

+

24

)

=

88

0

We know by sine law

A

C

sin

B

=

B

C

sin

A

or

15

sin

68

=

B

C

sin

88

or

B

C

=

15

⋅

sin

88

sin

68

=

16.17

(

2

d

p

)

c

m

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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