Answer:
5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and be are the legs and c is the hypotenuse
3^2 + 4^2 = c^2
9+16 = c^2
25 = c^2
Take the square root of each side
sqrt(25) = sqrt(c^2)
5 =c
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
![y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-%5Ccfrac%7B1%7D%7B3%7D%7Dx%2B5%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)
Step-by-step explanation:
Set up the division problem in long division format.
Divide 16 by 3
. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (5) by the divisor
Subtract 15 from 16
The result of division of 163 is 5 with a remainder of 1
- Use the long division solution to convert the original fraction (163)
- to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction (5), and the fraction portion of the mixed number will be the remainder of the original fraction division (1) over the denominator of the original fraction (3)
513
answer: 5 and one third
Answer:
70
Step-by-step explanation:
42/6=7. 42000/600=70. Add the zeroes!
Answer:
Step-by-step explanation:
