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2 years ago

Write a linear equation in point slope form that passes through the point (-2,5) with a slope or 1/2

Mathematics

1 answer:

trasher [3.6K]2 years ago

4 0

Answer:

$y-5=\frac{1}{2}(x+2)$

Step-by-step explanation:

Point Slope is:

$y-y_1=m(x-x_1)$

We are given the point (-2, 5) and a slope of 1/2.

$y-y_1=m(x-x_1)\rightarrow\boxed{y-5=\frac{1}{2}(x+2)}$

Hope this helps.

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One ounce is about the same as 0.06 pound. What is 0.06 written as a fraction?

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3/50

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An angle measures 47.2° less than the measure of its supplementary angle. What is the measure of each angle? on ixl

SVEN [57.7K]

Answer:

The measure of one angle is $113.6^o$ , and the measure of the other one is $66.4^o$

Step-by-step explanation:

Recall that supplementary angles are those whose addition renders $180^o$

We need to find the measure of two such angles whose difference is precisely $47.2^o$ .

Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

$x+y=180^o\\x-y=47.2^o$

We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":

$x+y=180^o\\x-y=47.2^o\\\\2x=180^o+47.2^o\\2x=227.2^o\\x=113.6^o$

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2 years ago

Write in point-slope form an equation of the line that passes through the given point and has the given slope. Point: (4, 8); m

Ainat [17]

Answer:

$\mathsf{y-8=\cfrac{3}{4}(x-4)}$

Step-by-step explanation:

Hi student, let me help you out!

.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... ... ..... ........ ...... ... ......... .... ....

First, let's recall the point-slope form equation: ↪ $\mathrm{y-y_1=m(x-x_1)}$ .

where: y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).

Let's stick in the values accordingly. We obtain the following: $\mathrm{y-8=\cfrac{3}{4}(x-4)}$ , which is our point-slope form equation.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

$\star\bigstar\overline{\overline{\underline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star$

$\underline{\rule{300}{4}}$

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1 year ago

What are the real and imaginary parts of the complex number?

Licemer1 [7]

Answer:

The real part is 2

The imaginary part is -5

Step-by-step explanation:

A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it

x is the real part of the complex number z i.e Re(z) = x

Imaginary part of the complex number z is y i.e Im(z) = y.

Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i

Given the complex number 2-5i

Comparing 2-5i to x+iy

x= 2 and y = -5

The real part is 2 (value that is not attached to the complex notation)

The imaginary part is 5(value attached to the complex notation)

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3 years ago

A train travels 430 miles in 5 hours at a constant speed.

steposvetlana [31]

Answer:

2.5

Step-by-step explanation:

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2 years ago