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Scilla [17]
3 years ago
13

Solve.

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0
<span>Solve.

x² + 4x + 4 = 18


​ A x=−4±3√ ​2

​ B x=2±3√ ​2

​ C x=4±9√ ​2

D x=−2±3√2



</span>x^2 + 4x + 4 = 18 \\  \\ x^2+4x+4-18= 0 \\  \\ x^2+4x-14=0 \\  \\ x_1_y_2=  \dfrac{-b\pm \sqrt{b^2-4ac} }{2a} \qquad a= 1\qquad b= 4\qquad c= -14 \\  \\  \\  x_1_y_2=  \dfrac{-4\pm \sqrt{4^2-4(1)(-14)} }{2(1)} \\  \\  \\  x_1_y_2=  \dfrac{-4\pm \sqrt{16-(-56)} }{2}  \\  \\  \\  x_1_y_2=  \dfrac{-4\pm \sqrt{72} }{2}  \\  \\  \\  x_1=  \dfrac{-4+ \sqrt{72} }{2} \qquad\qquad x_2=  \dfrac{-4+ \sqrt{72} }{2}\\  \\  \\  x_1=  \dfrac{-4+ \sqrt{2^3*3^2} }{2} \qquad\qquad x_2=  \dfrac{-4- \sqrt{2^3*3^2} }{2}
<span>
</span>x_1=  \dfrac{-4+2*3 \sqrt{2} }{2} \qquad\qquad x_2=  \dfrac{-4- 2*3\sqrt{2} }{2} \\  \\  \\ x_1=  \dfrac{-4+6 \sqrt{2} }{2} \qquad\qquad x_2=  \dfrac{-4- 6\sqrt{2} }{2} \\  \\  \\ x_1=  \dfrac{-4}{2} + \dfrac{6 \sqrt{2} }{2} \qquad\qquad x_2=   \dfrac{-4}{2}- \dfrac{ 6\sqrt{2} }{2} \\  \\  \\  x_1= -2 + 3 \sqrt{2} \qquad\qquad\quad  x_2=  -2- 3\sqrt{2}  \\  \\  \\ \boxed{x=   -2\pm 3\sqrt{2} }  \to D)<span>
</span>
tatyana61 [14]3 years ago
7 0

This was the correct answer, I even provided proof from my own test. Hope this helps!

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Describe how you would create a number line to represent where to plot the following number:
dexar [7]

Answer:

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4 0
3 years ago
Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
Whats the answer to -x² +6x + 18 = 0
emmainna [20.7K]

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   2 .

3 0
3 years ago
Read 2 more answers
How do you get the answer to 18,000 seconds = hrs?
Alex777 [14]
First you'd convert the seconds into minutes by dividing.

18,000 / 60 (60 secs in a min) = 300 minutes

Then, similarly,  you would convert the minutes into hours.

300 / 60 (60 mins in an hr) = 5 hours

The answer is 5 hours.
5 0
3 years ago
Read 2 more answers
H=L^2/f•c solve for L
nata0808 [166]

Answer:

±sqrt( H *f•c)= L

Step-by-step explanation:

H=L^2/f•c

Multiply each side by fc

H *fc=L^2/f•c  * fc

H *f•c=L^2

Take the square root of each side

±sqrt( H *f•c)= sqrt(L^2)

±sqrt( H *f•c)= L

4 0
3 years ago
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