X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0
set to zero and solve
xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)
ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)
zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)
xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
Remaining water in the tank is (19/2-19/3) gallons = 57-38/6=19/6 =3 1/6 gallons
Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem
Christina had to travel 125 m from the three-way junction to the church.
