the money given by joe to hector is 125$
let the hector works for x weeks,
it is given that hector earns 50$ in a week,
so the total money hector wants to save is 1100$
now
from the above inequality, we will find x
it means the hector will work for 20 weeks in order to earn 1100$.
Answer:
3 7/8 , 3 1/4 , 3 1/3
Step-by-step explanation:
I BELIVE HOPE IT HELPS.
Answer:
m = 2
n = -4
Step-by-step explanation:
Using elimination method:
4m + n = 4
m - n = 6
--------------------
5m = 10 // n-n = 0, solve for me
m = 10/5 //divide both sides by 5
m = 2
Pick any only of the equation, replace me with it's value.
m - n = 6
2 - n = 6 //subtract 2 on both sides
-n = 6-2
-n = 4 //Change sign, multiply by -1
n = -4
Solution:
m = 2
n = -4
Answer:
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
<u>finding</u><u> the</u><u> </u><u>tangent</u><u> </u><u>line</u>
equation of a line given by:
where:
- m is the slope
- b is the y-intercept
to find m take derivative In both sides of the equation of parabola
divide both sides by 2y:
substitute the given value of y:
simplify:
therefore
now we need to figure out the x coordinate to do so we can use the Parabola equation
simplify:
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
<u>finding</u><u> the</u><u> </u><u>equation</u><u> </u><u>of </u><u>the</u><u> </u><u>normal</u><u> </u><u>line</u>
normal line has negative reciprocal slope of tangent line therefore
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)