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tatuchka [14]
3 years ago
15

4. Find the distance between a point (–3, 4) and a vertical line at x = 4.

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

<h2>7</h2>

Step-by-step explanation:

Let the point A(a, b) and the line x = k. The distance between the point A and the line k is equal |k - a|.

We have A(-3, 4) and x = 4. Substitute:

d = |4 - (-3)| = |4 + 3| = |7| = 7

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Hope this helped.
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Which equation can be used to solve for x in the following diagram?
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Step-by-step explanation:

B because the straight angle must be 180°

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Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

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Answer:

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Step-by-step explanation: have a great day pls brainliest

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