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goldenfox [79]
2 years ago
15

-8-8x^2=-31 how to solve for x

Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Answer:

x = ± \sqrt{\frac{23}{2\sqrt{2}}}

Step-by-step explanation:

-8 - 8x^2= -31

Since this is a quadratic, it needs to be factored.

First, move the x to the other side:

-8 = 8x^2 - 31

Then, get the x alone by first adding 31:

23 = 8x^2

then dividing by 8:

x^2 = 23/8

Finally, square root both sides and remember the even roots property:

x = ± \sqrt{\frac{23}{8}}

and simplify the root 8:

x = ±  \sqrt{\frac{23}{2\sqrt{2}}}

Note: This answer may have a mistake.

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Find the distance from the point (1, 4) to the line y = 1/3x – 3.
Otrada [13]

Answer: Distance between line and point =

4√5 -3/2√10

Step-by-step explanation:

Distance between the line is

= √ ((9-0)²+(0+1)²)

= √ (89+1)

= √90

= 3√10

Half of the line = 3/2√10

Distance of one side of the line and the point.

= √((9-1)²+(0-4)²)

= √((8)²+(-4)²)

=√64+16

= √80

= 4√5

Distance between line and point =

4√5 -3/2√10

8 0
2 years ago
What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?
maw [93]

The conclusion of the remainder theorem about a situation where a function; f(x) is divided by (x+3) and has a remainder of 11 is that; f(-3) = 11.

<h3>What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?</h3>

It follows from the task content that f(x)/x+3 has a remainder of 11.

On this note, it follows from the remainder theorem regarding the division of polynomials that; when; x + 3= 0; x = -3 and hence;

f(-3) = 11.

Ultimately, the inference that can be drawn from the remainder theorem statement as in the task content is; f(-3) = 11.

Read more on remainder theorem;

brainly.com/question/13328536

#SPJ1

8 0
1 year ago
The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
3 years ago
Help!<br><br> What is the log of 10^-4.5?
Anarel [89]
The answer would be approximately 1.98
8 0
2 years ago
Read 2 more answers
Pls help with both the equations​
jeka57 [31]

Answer:

what is the question send it in the comment fast

3 0
3 years ago
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