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3 years ago

A line is parallel to y = x - 8 and

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Answer:

y=x-13

Step-by-step explanation:

hope that helped. have a good day.

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago

Give the domain and range of the relation. y=(x+4)^2-4

Westkost [7]

Answer:

The domain is the interval (-∞,∞)

The range is the interval [-4,∞)

Step-by-step explanation:

we have

$y=(x+4)^2-4$

This is the equation of a vertical parabola in vertex form

The vertex is the point (-4,-4)

The parabola open upward (because the leading coefficient is positive)

The vertex represent a minimum

The domain is the interval (-∞,∞)

The domain is all real numbers

The range is the interval [-4,∞)

$y\geq -4$

The range is all real numbers greater than or equal to -4

7 0

3 years ago

What is number form of 'the product of six and a number'

Lemur [1.5K]

Answer:

6 x n = 6n

Step-by-step explanation:

5 0

4 years ago

Is this table linear or exponential what us the slope and what is the equation ?

vampirchik [111]

Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

5 0

3 years ago

lana66690 [7]

Answer:

Choice 1

Step-by-step explanation:

Let‘s go through each answer and analyze a

each.

Choice 1

Parallel means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture

Choice 2

Perpendicular means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.

Choice 3

A Line Segment means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment

Choice 4

We already determined this is neither a segment nor perpendicular so it cannot be this choice

This leaves us with Choice 1.

I hope this helps!

Please give thanks and brainliest!

4 0

3 years ago