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Mathematics

1 answer:

slega [8]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

x² - 18x + --- = 4 + ----

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 9)x + 81 = 4 + 81

(x - 9)² = 85 ( take the square root of both sides )

x - 9 = ± $\sqrt{85}$ ( add 9 to both sides )

x = 9 ± $\sqrt{85}$ ← exact solutions

You might be interested in

Evaluate the following vertices for the function f(x)=x+2y

Mekhanik [1.2K]

Answer:

You might want to see if I read your ordered pairs right because it was really hard to see for me:

f(2,6)=14

f(-1,3)=5

f(6,4)=14

Step-by-step explanation:

I assume they meant to write f(x,y)=x+2y.

Doing f(2,6) now. This means replace x with 2 and y with 6:

f(2,6)=2+2(6)=2+12=14

f(2,6)=14

Doing f(-1,3) now. This means replace x with -1 and y with 3:

f(-1,3)=-1+2(3)=-1+6=5

f(-1,3)=5

Doing f(6,4) now. This means replace x with 6 and y with 4:

f(6,4)=6+2(4)=6+8=14

f(6,4)=14

5 0

3 years ago

For which values of P and Q does the following equation have infinitely many solutions?

Sveta_85 [38]

$\bf Px+35=-6x+Q\implies \stackrel{P}{~~\begin{matrix} -6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}x+35=~~\begin{matrix} -6x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+\stackrel{Q}{35}\implies 35=35$

whenever you get an equality like so, that's a flat that both equations are exactly one and the same and thus the system has "infinitely many solutions".

5 0

3 years ago

Which expression is equivalent to 5x + 5x – x + 8y – 4y?

likoan [24]