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frutty [35]
3 years ago
5

If the square of a positive integer is added to four times to integer the result is 117 find the integer.

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals \sqrt{-452}

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Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his
Ksivusya [100]

Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

<u>Step-by-step explanation:</u>

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

<u>Alex wrote checks on Tuesday for $30 and $40:</u>

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

<u>He also made a deposit in his checking account of $180:</u>

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

6 0
3 years ago
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

7 0
3 years ago
What is p?<br><br> 7 1/5+p+4 9/10+3 3/20=19 1/10
Yakvenalex [24]
ANSWER:
7 \frac{1}{5}+p+4 \frac{9}{10}+3 \frac{3}{20} =19 \frac{1}{10} \\ 7 \frac{4}{20}+p+4 \frac{18}{20} + 3 \frac{3}{20}=19 \frac{2}{20}  \\ p=19 \frac{2}{20}- (7 \frac{4}{20}+4 \frac{18}{20} + 3 \frac{3}{20})  \\ p=19 \frac{2}{20}-15 \frac{5}{20} \\ p=3\frac{17}{20}  
6 0
3 years ago
Number 15 please help 10 points no links pleAse
Kazeer [188]
Answer:

C

Explanation:

On the scatter plot, there is a dot where the lines for 6 and 3 meet. when looking for the ordered pair you would go along first then up (> then ^) so it would be (6,3). Another example, for the third dot on the plot, if you go along first you get 12 then when you go up you get 9 so the ordered pair for that would be (12,9). I really hope you understand what i mean and this helps as i struggled with explaining haha!
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3 years ago
Find the exact circumference. <br><br> r = 6 mm, C = ?
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C=2 \pi r \\ C=2 \pi 6 \\ C=12 \pi
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3 years ago
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