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3 years ago

Which number should be added to both sides of the equation to complete the square x^2-10x=7

Mathematics

1 answer:

mixer [17]3 years ago

5 0

Answer:

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

(-10/2)^2 = 25

_____

Adding that gives ...

(x -5)^2 = 32

x = 5 ± 4√2

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Solve k^2+4k+4=25 by taking the square root of each side. Please show work, thanks

MAVERICK [17]

Answer:

Step-by-step explanation:

k=3 or k=−7 both choices are correct

8 0

3 years ago

Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12

e-lub [12.9K]

Answer:

The height of the pan is 2 inches.

Step-by-step explanation:

Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is $10\frac{1}{2}$ inches.

To find : What is the height of the pan ?

Solution :

The volume of a rectangle or prism is

$V=l\times w\times h$

Where, l=12 inches is the length

$w=10\frac{1}{2}$ inches is the width

V=252 in.³ is the volume

h is the height

Substitute the value,

$252=12\times 10\frac{1}{2}\times h$

$252=12\times \frac{21}{2}\times h$

$h=\frac{252\times 2}{12\times 21}$

$h=2$

Therefore, the height of the pan is 2 inches.

7 0

3 years ago

The diagonals of quadrilateral ABCD intersect at point E, AE=5x-10,EC=2x+5, and BE= y/3.. If ABCD is a square, find the value of

enot [183]

Check the picture below.

5 0

3 years ago

Read 2 more answers

4^(4x-1)=32 <br><br> How do I solve this problem? Do I do 4 to the fourth power first?

yKpoI14uk [10]

Answer:

$\large\boxed{x=\dfrac{7}{8}}$

Step-by-step explanation:

$4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}$