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Marina CMI [18]
3 years ago
8

Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 8x - 10 = 18

Mathematics
2 answers:
Natalka [10]3 years ago
7 0

Answer:

(x-4)² = 44

Step-by-step explanation:

To complete the square, take the middle term -8x and divide the coefficient in 2 and square it. Here it is -8/2 = -4. -4² = 16. Add 16 to both sides.

x² - 8x - 10 = 18

x² - 8x + 16 - 10 = 18 + 16

(x-4)² - 10 = 34

(x-4)² = 44

sveticcg [70]3 years ago
6 0

Answer:

(x - 4)2 = 44

Step-by-step explanation:

You might be interested in
1+2-3+4+5-6+7+8-9...+97+98-99
zaharov [31]

Answer:

  1584

Step-by-step explanation:

The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.

__

<h3>series of partial sums</h3>

The partial sums, taken 3 terms at a time, are

  1+2-3 = 0

  4+5-6 = 3

  7+8-9 = 6

...

  97+98-99 = 96

So the original series is equivalent to ...

  0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)

That is, the sum is 3 times the sum of the consecutive integers 1..32.

__

<h3>consecutive integers</h3>

The sum of integers 1..n is given by the equation ...

  s(n) = n(n+1)/2

__

<h3>series sum</h3>

Using this to find the sum of our series, we find it to be ...

  series sum = 3 × (32)(33)/2 = 1584

_____

<em>Alternate solution</em>

The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...

  1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)

Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).

Computed that way, we find the sum to be ...

  (99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584

3 0
2 years ago
I need help with 1 AND b, please explain!
Thepotemich [5.8K]
First answer is 27
Multiply -3 with -1
Then multiply it to the 3rd power.


2nd answer is 1 / 1296
First add the expoinents
-12 +8 = -4

Then you would need to do the equation
6^-4 x 6^0
And this would equal 1/1296

Please mark Brainliest :)
4 0
3 years ago
Read 2 more answers
Midpoint and distance formula zombie worksheet
Strike441 [17]

Consider two points in a two dimensional coordinate plane

(x_{1},y_{1})\text { and }  (x_{2},y_{2})

As you know mid point of a line joining two points is the coordinate of the middle point of only that portion of line joining between two points.

[tex]\text   { Mid point of  }  (x_{1},y_{1})\text { and }  (x_{2},y_{2}) =(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

As we know distance formula gives the Distance between line joining two points in two dimensional coordinate system.It is always positive.

[tex]\text   { Distance formula between two points  }  (x_{1},y_{1})\text { and }  (x_{2},y_{2}) =\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Distance formula gives the distance between two points, whereas Mid point formula gives coordinate of the middle point.

3 0
3 years ago
The ages of Carolyn and her dad ,Caleb, sum to 75. Carolyn is half as old as her father. Find the ages of Carolyn and Caleb
Serjik [45]
Dad = d
Carolyn = 1/2d
1/2d + d = 75
d = 50

1/2(50) + 50 = 75
25 + 50 = 75
75 = 75

Carolyn = 25 years
Caleb = 50 years

Hope this helps =)
4 0
3 years ago
Evaluate the exponent expression for a = 1 and b = -2
iVinArrow [24]

Answer:

D) 1/16

Step-by-step explanation:

use brackets

follow bedmas rule

B - brackets

E - exponent

D - division

M - multiplication

A - addition

S - subtraction

working is shown in the diagram.

5 0
3 years ago
Read 2 more answers
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