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olya-2409 [2.1K]
3 years ago
8

I need this question need done asap​

Mathematics
2 answers:
andriy [413]3 years ago
5 0
<h3>Given, to find the value of 'x'</h3>

<h2>By using pythagoras theorem </h2>

H² = B² + P²

(25)² = (24)² + p²

625 = 576 + p²

p² = 49

p = 7

Harlamova29_29 [7]3 years ago
4 0

Answer: The answer to this is 7.

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Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
−5/6e−2/3e=−24 solve for e
Lostsunrise [7]

Answer:

-3e/2

Step-by-step explanation:

3 0
2 years ago
6.
Nimfa-mama [501]

Let's call our number <em>x</em>.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

5 0
3 years ago
Read 2 more answers
7. Joey wants to find the area of the parallelogram below.
lesya692 [45]

Answer:

I'm not sure but I think it is b

3 0
3 years ago
The lines are parallel. Find the slope-intercept form of the equation y₂.
Bas_tet [7]
Since the lines are parallel and you know the slope of y_{1} is -2, you know the slope of line y_{2} will also be -2. You can see on the coordinate grid that line y_{2} crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get y_{2} = -2x - 1.
6 0
3 years ago
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