Answer:
08, 15, 17
Step-by-step explanation:
Use the Pythagorean theorem.
Where the sum of both legs squared is equal to the hypotenuse squared.
8² + 15² = 17²
64 + 225 = 17²
289 = 17²
289 = 289
The side lengths that represent Pythagorean triplets are 08, 15, 17.
9. 2/6 and in simplified form it’s 1/3
10. 10/4 simplified is 5/2
11. 8/2 simplified is 4/1
12. 7/7 which is 1
13. Has no slope
14. 4/7
Based on the longitudes of Quito and Singapore, the shortest distance between the two areas is 19,702.5 km .
<h3>How far is Quito from Singapore?</h3>
Because both cities are close to the equator, you use the longitudinal difference method to find the shortest distance.
First find the difference in longitudes:
= Singapore - Quito
= 104 - (-78.5) because Quito is west
= 104 + 78.5
= 182.5°
Then subtract this from 360°:
= 360 - 182.5
= 177.5°
Every 1° longitude along the Equator is 111 km so the shortest distance is:
= 177.5 x 111
= 19,702.5 km
Find out more on longitudes at brainly.com/question/23425958.
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[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).
<h3>What are linear equations?</h3>
- A linear equation in one variable is a mathematical expression for an equation with only one variable.
- While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
- The formula is Ax + B = 0.
- 9x + 78 = 18 is an example of a linear equation with just one variable.
So, we have:
- (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
Now, calculate as follows:
- = (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
- = 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
- = 13r²s² - 16r²s² - 7sr² + 3r²s + 4rs - 10 + 2
- = - 3r²s² - 4sr² + 4rs - 8
Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).
Learn more about linear equations:
brainly.com/question/11897796
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