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Galina-37 [17]
3 years ago
9

An equation that shows that two ratios are equal is a what

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

True proportion

I hope this helps!

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What are the solutions to the equation<br><br>x^2+14x=-130<br><br>please do a step by step
Serjik [45]

Answer:

The answer to your question is:  x1 = - 7 + 9i      x2 = -7 - 9i

Step-by-step explanation:

                                             x² + 14x = - 130

                                            x² + 14x + (7)² = -130 + (7)²

                                           (x + 7)² = -81

                                            x + 7 = ± √-81

         i² = -1,  then                x + 7 = ±√ 81i²

                                            x + 7 = ± 9i

                          x1 = -7 + 9i                         x2 = -7 - 9i

                                             

5 0
3 years ago
Use &gt;, &lt;, or = to solve the following problems below.
Elodia [21]

(6^2)__>__(-6^2)

-5__=__ |-5|

0.372×1,000__<__37.2×100

3 0
2 years ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou
Anna35 [415]
For this case we have the following equation:
 3 \sqrt{x+6}=-12
 Rewriting we have:
 \sqrt{x+6}= \frac{-12}{3}
 \sqrt{x+6}=-4
 We raise both members of the equation to the square:
 (\sqrt{x+6})^2=(-4)^2
 Rewriting we have:
 x+6=16
 x=16-6
 x=10
 It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
 3 \sqrt{10+6}=-12
 3 \sqrt{16}=-12
 3(4)=-12
 12=-12
 Answer:
 
The solution is:
 
x=10
 It's a extraneous solution

6 0
3 years ago
Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for  prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141        

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

\text{Range} = 234-119 = 115\$

Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1356}{8} = 169.5

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 +  2352.25 + 1406.25 + 552.25 + 812.25 = 13406

\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$

Variance =

\sigma^2 = 1915.142\$

Measure of variance for someone searching for room:

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

5 0
3 years ago
Make C the subject of the formula:<br> F=9/5 C + 32​
Dafna1 [17]
1)-9/5C=-F+32
2)9/5C=F-32
3)9C=5(F-32)
4)C=5/9(F-32)
4 0
3 years ago
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