14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
If you make a proportion,
12 18
--- = ---
10 x
when you cross multiply
12x=180
x=15
EF= 15
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
<h2><u /></h2><h2><u>Part 1</u></h2>
Four times a number added to 3 times a larger number is 31.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
<u>Correct answer choice for this equation:</u>
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
<h2><u>
Part 2 </u></h2>
Seven subtracted from the larger number is equal to twice the smaller number.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
<u>Correct answer choice for this equation:</u>
y = 2 x + 7