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ira [324]
3 years ago
12

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)
Mathematics
2 answers:
NikAS [45]3 years ago
8 0

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

GarryVolchara [31]3 years ago
3 0

Answer:

b,c,e

Step-by-step explanation:

lol

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1/4(24x+12)=6(x+1/2)
forsale [732]

Answer:

The final answer cannot be decided

Step-by-step explanation:

Since 1/4(24x+12)=6(x+1/2)

This can also be written as

24x+12/4=6(x+1/2)

So let's open the bracket from the right side and also solving using the LCM

24x+12/4=6(2x+1/2)

Open the bracket

24x+12/4=3(2x+1)

24x+12/4=6x+3

Cross multiply

24x+12=4(6x+3)

24x+12=24x+12

Collect like terms

24x-24x=12-12

0=0

Therefore the final answer cannot be decided

7 0
3 years ago
Help me PLEASE NO LINKSSSSSSS
Stella [2.4K]

Answer:

D

Step-by-step explanation:

The perimeter of answer A is 6+6+8+8 which is 12+16=28

The perimeter of answer B is 7+7+7+7 which is 28

The perimeter of answer C is 7+7+6+6 which is 14+12=26

The perimeter of answer D is 9+9+6+6 which is 18+12 which is 30

5 0
3 years ago
What is the solution -1 -7 ?
Effectus [21]

Answer:

-8

Step-by-step explanation:

Add the two numbers but maintain the negative sign.

3 0
3 years ago
Use the distributive property to evaluate each expression <br> 4(8-7), 4(x-6y), 6(5-q), (d+2)(-7)
Whitepunk [10]

Answer:

Rewrite the expression 10(15 – 6) using the distributive property of subtraction.

A) 10(6) – 10(15)

B) 10(9)

C) 10(6 –15)

D) 10(15) – 10(6)

Show/Hide Answer

A) 10(6) – 10(15)

Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).

B) 10(9)

Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).

C) 10(6 –15)

Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).

D) 10(15) – 10(6)

Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.

Step-by-step explanation:

7 0
3 years ago
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