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3 years ago

Determine whether the lines are parallel, intersect, or coincide y=1/3x+4 x-3y=-12

Mathematics

1 answer:

adell [148]3 years ago

7 0

The slopes of two lines are equal which means that the lines are parallel.

Further explanation:

The slopes of lines are used to find the relationship between two line.

If two lines are parallel, then their slopes will be equal.
If two lines are perpendicular, the product of slopes of both lines will be -1

The standard form of equation of line is:

$y=mx+b$

The coefficient of x is the slope here.

y=1/3x+4

Let m1 be the slope of first line:

$m_1=\frac{1}{3}$

$x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4$

Let m2 be the slope of second line

$m_2=\frac{1}{3}$

We can see that:

$m_1=m_2$

The slopes of two lines are equal which means that the lines are parallel.

Keywords: Parallel Lines, Perpendicular Lines

Learn more about lines at:

#LearnwithBrainly

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the eagle trucking company must deliver 7/8 ton of cement blocks and 5/8 ton of bricks how much will this load weigh?

Mademuasel [1]

This load will weigh 1.5 TONS ALTOGETHER.

So, the truck is delivering a $\frac{7}{8}$ ton of cement blocks, and a $\frac{5}{8}$ of bricks. To find how much this load weighs, we'd have to add the two fractions together, which proves to be quite easy, because the denominators are already the same, so we wouldn't have to change anything.

$\frac{7}{8}$ + $\frac{5}{8}$ = $\frac{12}{8}$

And now, we would want to convert that fraction into a whole number, or at least a decimal, to find how many tons the truck is carrying. So we would divide. Once the work is done, here is what would happen:

12 ÷ 8 = 1.5

And there's your answer. The truck is carrying 1.5 TONS.

4 0

3 years ago

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

juin [17]

Answer:

The Taylor series of f(x) around the point a, can be written as:

$f(x) = f(a) + \frac{df}{dx}(a)*(x -a) + (1/2!)\frac{d^2f}{dx^2}(a)*(x - a)^2 + .....$

Here we have:

f(x) = 4*cos(x)

a = 7*pi

then, let's calculate each part:

f(a) = 4*cos(7*pi) = -4

df/dx = -4*sin(x)

(df/dx)(a) = -4*sin(7*pi) = 0

(d^2f)/(dx^2) = -4*cos(x)

(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4

Here we already can see two things:

the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.

so we only will work with the even powers of the series:

f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....

So we can write it as:

f(x) = ∑fₙ

Such that the n-th term can written as:

$fn = (-1)^{2n + 1}*4*(x - 7*pi)^{2n}$

6 0

3 years ago

please help! i need to find the missing sides of these triangles. will give brainliest if solvers correctly :))

asambeis [7]

Answer:

3.72769

Step-by-step explanation:

Use tangent - tan74 = 13/x

Solving for x gives you 3.72769

I'm not sure how many decimal places you need, so there are most of them

Hopefully this helps- let me know if you have any questions

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2 years ago

For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?

koban [17]

Answer:

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Step-by-step explanation:

1) Collect like terms.

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2) Simplify

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4 0

3 years ago

Read 2 more answers

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rusak2 [61]

-> 3rd answer is correct

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2 years ago