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Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

X<-19

Step-by-step explanation:

$5x + 23 < 4 + 4x \\ 5x - 4x < 4 - 23 \\ x < - 19$

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Help please guys thankyouu

ZanzabumX [31]

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

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3 years ago

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telo118 [61]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the length of the diagonal, d, of the rectangular prism shown below?

vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

$w=2\\l=3\\h=6$

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

$d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}$