9514 1404 393
Answer:
AD = 15
Step-by-step explanation:
The products of the segment lengths are the same.
(x -2)(x +7) = 4(2x -1)
x^2 +5x -14 = 8x -4
x^2 -3x -10 = 0
(x -5)(x +2) = 0
The positive solution is x=5.
Chord AD is ...
(x -2) +(x +7) = 2x +5 = 2(5) +5 = 15
Chord AD is 15 units long.
So the equaiton is
number of nickes=n
number of quarters=q
if you have 1 quarter then you have 25 cents so we will represent like this
25q
and nickles is 5n
14.50=1450 cents
so
25q+5n=1480
q+n=88
subtract q from both sides
n=88-q
subsitute into first equation
25q+5(88-q)=1480
25q+440-5q=1480
add like terms
20q+440=1480
subtract 440 from both sides
20q=1040
divide both sdies by 20
q=52
there were 52 quarters
25(52)+5n=1480
1300+5n=1480
subtract 1300 from both sides
5n=180
divide both sides by 5
n=36
there were 36 nickels
nickles=36
quarters=52
Answer:
A or D
Step-by-step explanation:
because I dont know what the experiment is just that it was grown differently
Answer: speed other the slower train is 46 mph.
speed other the faster train is 56 mph.
Step-by-step explanation:
Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.
In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.
Distance = speed × time
Distance travelled by the slower train in 4.5 hours is
4.5 × x = 4.5x
Distance travelled by the faster train in 4.5 hours is
4.5(x + 10) = 4.5x + 45
Since the total distance covered is 459 miles, therefore,
4.5x + 4.5x + 45 = 459
9x = 459 - 45 = 414
x = 414/9
x = 46 mph
Speed of the faster train is
46 + 10 = 56 mph
The answer to your question is Monomial (:
