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3 years ago

Triangle ABC was dilated using the rule

Mathematics

2 answers:

pashok25 [27]3 years ago

8 0

Answer:

A) 10.

Step-by-step explanation:

You divide 5/4 to get 1.25 and multiply that by 8 to get 10.

hichkok12 [17]3 years ago

7 0

Answer: 10

Step-by-step explanation:

8 (5/4) = 10

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Let A = any rational number is the absolute value of a different if A is a positive number or negative number Explain

artcher [175]

Absolute value is always positive because its talking about the real distance or steps to zero and even when you at a negative number it takes real steps to get back to zero.

5 0

3 years ago

A washer and a dryer cost $676 combined. The washer costs $74 less than the dryer. What is the cost of the dryer?

Arlecino [84]

Answer: The dryer cost $375.

Step-by-step explanation:

676 - 74 = 602

602/2 = 301

301 + 74 = 375

3 0

3 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$