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Anestetic [448]
3 years ago
15

If using the method of completing the square to solve the quadratic equation x^2-5x-19=0x, which number would have to be added t

o "complete the square"?
Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

25/4 or 6.25

Step-by-step explanation:

Given that the general equation of  a quadratic equation is given as

ax^2 + bx + c = 0, to complete the square, we subtract c from both sides of the equation and add the square of (b/2a) to both sides.

Hence given x^2-5x-19=0, to complete the square, we add

(-5/2)^2 to both sides following the illustration given.

This is 25/4 or 6.24

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What is the inverse of the functionf(x)=2x+1
inna [77]
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')

so we have
f(x)=2x+1

replace f(x) with y
y=2x+1

switch x and y
x=2y+1

solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
\frac{x-1}{2}=y
y=\frac{x-1}{2}
repplace y with f⁻¹(x)
f⁻¹(x)=\frac{x-1}{2}



7 0
4 years ago
Which data set does this stem-and-leaf plot represent?
coldgirl [10]

Answer:

it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17

7 0
2 years ago
audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. how many of the coins are dimes and how many are
AfilCa [17]
22 quarters= $5.50
10 dimes= $1.00

$5.50 + $1.00 = $6.50
I just did trial and error. I started with 20 quarters and made changes until it worked.

4 0
3 years ago
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
Readme [11.4K]

Answer:

the answer is B. (15,4) :

Step-by-step explanation:

7 0
3 years ago
I NEED HELP PLEASE! :)<br> thanks!
torisob [31]

Since ΔABC ~ ΔEDC, ∠B = ∠D.

Since both triangles appear to be similar, the corresponding angles are the same, and corresponding sides are the same or have the same ratio.

We can write an equation to resemble the problem:

8x + 16 = 120

Solve for x.

8x + 16 = 120

~Subtract 16 to both sides

8x + 16 - 16 = 120 - 16

~Simplify

8x = 104

~Divide 8 to both sides

8x/8 = 104/8

~Simplify

x = 13

Therefore, the answer is 13.

Best of Luck!

6 0
4 years ago
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