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Slav-nsk [51]
3 years ago
10

Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
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Mary is four years older than Sue. If the sum of their ages is 16, how old are Mary and Sue?
dusya [7]

Answer:

Sue is 6 and Mary is 10

Step-by-step explanation:

let Sue's age be x then Mary is x + 4 and the sum of their ages is

x + x + 4 = 16

2x + 4 = 16 ( subtract 4 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

x + 4 = 6 + 4 = 10

then Mary is 10 and Sue is 6

6 0
1 year ago
Read 2 more answers
You need 23 yards of fabric to make five dresses. How many yards of fabric would be needed to make 8 dresses?
olasank [31]

Answer:

36.8 or 37 yards of fabric

Step-by-step explanation:

23 yards of fabric = five dresses

23 divided by five equals four point six

four point six multiplied by eight dress equals 36.8

23 yds of fabric = 5 dresses

23÷5=4.6

If you need to know how many yards of fabric, then you'd do:

4.6×8

4.6 is the amount of each yards 5 dresses are in and so if you times that by how many dresses you need now, you'll get:

36.8 yards of fabric

To round, it'd be 37 yards of fabric

5 0
3 years ago
Represent the following sentence as an algebraic expression, where "a number" is the
kenny6666 [7]
Answer. x>1
Explanation. when “x” is greater than one. We use the greater than symbol and use “x” as the variable.
8 0
3 years ago
Monroe Reservoir, it cost $25 per hour plus $100 deposit to rent a pontoon boat. a. Write an equation that describes the cost c,
makkiz [27]
C = 25h + 100 ......renting for 2 hrs...sub in 2 for h
c = 25(2) + 100
c = 50 + 100
c = 150 <===

if u spend 325...so sub in 325 for c
325 = 25h + 100
325 - 100 = 25h
225 = 25h
225/25 = h
9 = h <=== it was rented for 9 hrs
5 0
3 years ago
Read 2 more answers
-7 x - 2y = -13 <br> x - 2y = 11
VashaNatasha [74]
Well the first one would convert to
-2y= 7x-13 and the second one would be -2y=-x+11 and you solve from there (lmk if you need the steps) but your final answer would be. Y= -7/2x+ 13/2 and y=1/2x - 11/2
8 0
3 years ago
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