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IgorC [24]
3 years ago
7

Add _____ to each side x2 – 8x = 9 to complete the square.

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

16

Step-by-step explanation:

We use the completing square method to find make the expression a perfect square.

(b/2)²=ac where a and b are coefficients of x² and x respectively while c is a constant.

= (-8/2)²=16

We add 16 to both sides and the expression becomes a perfect square.

zhuklara [117]3 years ago
3 0

Answer:

The correct answer is 25

Step-by-step explanation:

It is given a quadratic equation,

x² – 8x = 9

<u>To find the number to be added</u>

The given equation be  x² – 8x = 9

here we have to add (b/2)² -  the square of half the coefficient of x,

Here b = -8

(b/2)² = (-8/2)² = -4² = 16

Add both side with 16

x² – 8x + 16  = 9 + 16

(x - 4)² = 25

(x - 4)² = 5²

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sashaice [31]

Answer:

Cosine graph

Step-by-step explanation:

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7 0
2 years ago
Solve with cramer's rule x+2y+3z=11, 2x+y+2z=10, 3x+2y+z=9
nalin [4]

Answer:

x = 2 , y = 0 , z = 3

Step-by-step explanation:

Cramer's rule is a rule through which we can find the solution of linear equation.

we have the three linear equations as

x+2y+3z=11

2x+y+2z=10

3x+2y+z=9

AX=B  

A: coefficient matrix

X= unknown vectors(x,y,z)

D = values of the linear equation (11 , 10 , 9)

now we find the determinant of the given linear equation

determinant of the matrix will be

A = \left[\begin{array}{ccc}1&2&3\\2&1&2\\3&2&1\end{array}\right]  = 1(1-4) - 2(2-6) + 3(4 - 3)

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

                    = -3+8+3 = 8

also D\neq 0

so the determinant is Non zero we can apply Cramer's rule

we will be replacing the first column of the coefficient matrix A with the values of D

by replacing the first column we will get the value of the variable 'x'

Dx =  \left[\begin{array}{ccc}11&2&3\\10&1&2\\9&2&1\end{array}\right]   = 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16

x = \frac{Dx}{D}  = \frac{16}{8} = 2

similarly

Dy = \left[\begin{array}{ccc}1&11&3\\2&10&2\\3&9&1\end{array}\right] = 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0

y = \frac{Dy}{D} = 0

Dz= \left[\begin{array}{ccc}1&2&11\\2&1&10\\3&2&9\end{array}\right] = 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24

z = \frac{Dz}{D} = \frac{24}{8} = 3

so we have the solution as

x = 2 , y = 0 , z = 3

Therefore the solution for the given linear equations is (2,0,3).

3 0
2 years ago
Help fast please !!!!!!!!!!!
Harman [31]

Answer:

66 degrees

Step-by-step explanation:

angle WOX is congruent and vertical with angle YOZ

5 0
3 years ago
I need help! Whoever can solve this I'll give you the brainliest!​
Troyanec [42]

Answer:

it should be 21 if I did this right.

Step-by-step explanation:

you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21

6 0
2 years ago
Find the area of the shaded polygons<br><br> NEED ASAP PLEASE!! THANK YOU
goldenfox [79]

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168

8 0
2 years ago
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