Slope formula: (y2 - y1/x2 - x1)
Substitute
(9 - 17/-1 - 3) = 2
Total distance: d = 3 km
Minutes run: x
Distance run = (1 km / 2 minutes) * x = (1/2)x
Distance from the finish line = total distance - ditance run = 3 - (1/2)x =
= - (1/2)x + 3
Answer - (1/2)x + 3
Answer:
PQRS and TUVW are similar.
Step-by-step explanation:
We are give two polygons.
Sides of first polygon are :
PQ = 8 ft
QR= 13ft
RS = 8ft
PS = 13ft.
Sides of second polygon:
TW = 2.4 ft
TU = 5.2 ft
UV = 2.4 ft
VW = 5.2 ft.
We can see that PQRS and TUVW are parallelograms.
Note: <em>If an angle of a parallelogram is equal to an angle of another parallelogram then parallelograms would be similar.</em>
We can see that <Q ≅ <T = 120°.
<h3>Therefore, PQRS and TUVW are similar.</h3>
Half Tens is a way of multiplying where we have to find the value of given numbers. First we double any 'one' of the two given numbers and multiply both to get an answer. Then we divide that answer by '2' to get the answer.
Lets take two numbers as 16 and 340

Double the number 16

Now we will divide this by 2

So, if we check
, it is 5440.
Similarly if we double the number 340, we get 680
Now, 
And 10880/2 = 5440
Hence, in both ways the answer is 5440.
9514 1404 393
Answer:
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.