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2 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Mathematics

1 answer:

ira [324]2 years ago

7 0

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2 This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x - 6

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope. Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

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Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val

avanturin [10]

Answer:

B. No

$Cos \ \theta\neq Cos (90-\theta)\textdegree$

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

- $\theta$ is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

$Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree$

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0

3 years ago

When solving negative one over five -1/5 (x − 25) = 7, what is the correct sequence of operations

aleksandr82 [10.1K]

The solution would be like this for this specific problem:

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot
\left( { - 5} \right)$

$\left( { - 5} \right)
\cdot \left( { - \frac{1}{5}} \right) = 1$

The correct sequence of operations when solving negative one over five (x − 25) = 7 would be multiply each side by −5, and adding 25 to each side.

5 0

3 years ago

What would the decimal number 20 be in binary?

Inessa05 [86]

<span>10100 is the answer hope it helps you.

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6 0

3 years ago

(-w-6)/(w^2+4w-12), how do i write this into simplest form?

PIT_PIT [208]

First factorise the top = -(w+6)
The first factorise the bottom: (w^2 + 4w -12) = (w+6) (w-2)
Therefore the two (w+6) cancels out and you are left with -1 / w-2

7 0

3 years ago

What is 5-6x=2+7x step by step?

HACTEHA [7]

The first thing you do is subtract 2 from both sides to move the 2 to the left side
3-6x=7x
now add 6x to both sides to move -6x to the right
3=13x
divide by 13 to eliminate the 13 on the right side
3/13

4 0

3 years ago

Read 2 more answers