Answer:
0.095 miles per minute
Step-by-step explanation:
If Sophie traveled 25 feet in 3 seconds, then in 1 second she will travel
25/3 = 8.333 ft
But in 60 seconds make 1 minute, so in 1 minute, she will travel
(25/3) × 60 = 25 ×20
= 500 ft
Therefore in miles/minute, she was going
500/5280 = 0.095 miles per minute
X^2/a^2+y^2/b^2=1
a^2=100 a=10
b^2=64 b=8
c^2=a^2-b^2
c=6
Answer:
5b
Step-by-step explanation:
all the a's can be combined
So you need to find y in terms of x. But later, since the 12x and -12x cancel each other out. X can be any real number. And y. Depends on what real number x is.
Answer:
If you choose any value for k other than 6, that will be give you the one solution.
If k=6, you have no solutions because the lines will be parallel.
Step-by-step explanation:
We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.
kx+2y=5
Subtract kx on both sides:
2y=-kx+5
Divide both sides by 2:
y=(-k/2)x+(5/2)
The slope is -k/2 and the y-intercept is 5/2
3x+y=1
Subtract 3x on both sides:
y=-3x+1
The slope is -3 and the y-intercept is 1.
We want the system to have one solution so we want the slopes to be difference.
So we don't want (-k/2)=(-3).
Multiply both sides by -2: k=6.
We won't want k to be 6.