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jasenka [17]
2 years ago
14

Suppose XY is parallel to segment X’Y’is triangle OXY similar to Ox’Y’ explain please

Mathematics
1 answer:
faust18 [17]2 years ago
8 0

yes it is a smaller diagram than the angle o x y

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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)
Elza [17]
The first thing we must do in this case is find the derivatives:
 y = a sin (x) + b cos (x)
 y '= a cos (x) - b sin (x)
 y '' = -a sin (x) - b cos (x)
 Substituting the values:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 We rewrite:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
 sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
 From here we get the system:
 -b-8a = 1
 a-8b = 0
 Whose solution is:
 a = -8 / 65
 b = -1 / 65
 Answer:
 
constants a and b are:
 
a = -8 / 65
 
b = -1 / 65
4 0
3 years ago
How far can you run in 5/7 of an hour if you run at a speed of 8 2/5 mph?
Mazyrski [523]
Answer: you can run 6 miles


explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6
5 0
3 years ago
If (x) = 3х - 2 and g(x) = 2х+ 1, find (f- g)(x).
MAXImum [283]

Answer:

A

Step-by-step explanation:

f(x) - g(x) = 3x-2 - (2x + 1)      Remove the brackets

f(x) - g(x) = 3x - 2 - 2x -1       Combine terms.

f(x) - g(x) = x - 3

The answer is A

5 0
3 years ago
X increased by 10 is equal to 42
AysviL [449]

Answer:

x = 32

Step-by-step explanation:

x + 10 = 42, then you subtract 10 from both sides to get 32

6 0
3 years ago
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What is the equation of the line that has a slope of 4 and a y-intercept of -7?
pentagon [3]
Y=4x-7 think this is the answer
5 0
3 years ago
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