Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
Step-by-step explanation:
Given
Determining the length of LM
The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)








Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
Answer:
(-4,-1)
Step-by-step explanation:
-3x+10y=2
-3x+3y=9
-3x=2-10y
-3x=9-3y
2-10y=9-3y
2-9=10y-3y
7y=-7
y=-1
-3x+3(-1)=9
-3x-3=9
-3x=12
x=-4
Answer:

Step-by-step explanation:
The given equation is:

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

Now you have
<u />
<u>(.15)0.5 lb peanuts</u> = <u>0.075 lb peanuts</u>
0.5 lb nuts 0.5 lb nuts
for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?
<u>0.075 lb peanuts + 0.75x lb peanuts</u><em> = <u /></em><u> 50 </u><u>
</u>0.5 lb nuts + x lb nuts 100
cross multiply
(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts
Answer:
Boris will have $250 in 10 months.
Step-by-step explanation:
$25 = one month.
$250= ?months
To find ?, the months we divide 250 by 25 to get this:
250 ÷ 25 = 10
10 months is the amount of time Boris will have to wait until he saves up $250.
Hope this helps you! Good luck with your quiz! :)