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Taya2010 [7]
3 years ago
13

Please help me find X

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

  x = 2

Step-by-step explanation:

The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...

  (2√3)(2√3) = x(x +4)

  12 = x² +4x

  16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square

  4² = (x +2)² . . . . . . . . write as squares

  4 = x +2 . . . . . . . . . . positive square root

  2 = x . . . . . . . . . . . . . subtract 2

_____

<em>Alternate solution</em>

If you believe x to be an integer, you can look for factors of 12 that differ by 4.

  12 = 1×12 = 2×6 = 3×4

The factors 2 and 6 differ by 4, so x=2 and x+4=6.

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Factor the quadratic expression t^2 + 4t - 7
zepelin [54]

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.



7 0
3 years ago
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct
Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

6 0
2 years ago
A recipe for fruit salad includes 1/5 cup of grapes for 3 servings. How many cups of grapes are needed for 50 servings of this f
choli [55]

Answer:

300 is your answer

Step-by-step explanation:

6 0
2 years ago
A race car can travel 2 laps In 10 minutes How long will it take the race car to complete 100 laps at that rate ?
34kurt

Answer:

500 minutes

Step-by-step explanation:

Ok, so the first thing we want to do is figure out how long it takes to complete one lap.

So if it takes 10 minutes to travel 2 laps lets find out how many minutes for one.

It would be 5 minutes for one lap, if you divide 10 by 2 because of the 2 laps.

Next, you just multiply the 5 minutes by 100 laps:

This gives you 500 minutes.

Hope this helps :)

5 0
2 years ago
Read 2 more answers
What is the slope?__________
mojhsa [17]

Answer: 0,6


Step-by-step explanation:


Slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.


The answer is 0,6 because on the y axis its plotted zero and then on x you count up its 6.

5 0
3 years ago
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