Answer:
Step-by-step explanation:
slope m= (y2-y1) / (x2-x1) = 15-12 / 4-4 = 3/0 is undefined since we can not divide by 0
slope is undefined so the line is vertical
Answer:
27 28 29
Step-by-step explanation:
Let the first be n , and if they are consecutive then the next two numbers are n+1 and n+2.
n+(n+1)+(n+2)=84.
3n+3=84.
⇒3n=81.
⇒n=27.
Hence numbers are n,n+1,n+2→27,28 and 29
Answer:
find total volume to find what amount is 20%
hack, is put the 20% in alreadyy to find 20% volume
20%=1/5
so
vcone=1/3(hpir^2)
times thath by 1/5
vcone=1/15(hpir^2)
d/2=r
given
4.8=d
4.8/2=d/2=r=2.4
10=h
V=1/15(10pi2.4^2)
V=1/15(10pi5.76)
V=1/15(57.6pi)
V=3.84pi
V=12.0637 cubic inches=20% of vase
0.5 cubc inches per min
0.5 times t=12.0637
divide both sides by 0.5
t=24.1237
about 24 minutes
Step-by-step explanation:
Answer:
(-4,-5) (-3,-3)
Step-by-step explanation:
Answer:
The hypotenuse has a length of 6
Step-by-step explanation:
Remark
The first step is to create the 2 equations needed to solve this problem.
Then substitute one into the other.
Equations
c^2 + a^2 + b^2 = 72
c^2 = a^2 + b^2
Solution
c^2 + a^2 + b^2 = 72 The sum of the sides each squared of a right triangle = 72
c^2 = a^2 + b^2 The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2
c^2 + c^2 = 72
2c^2 = 72
c^2 = 36
c = 6. minus 6 is meaningless