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scZoUnD [109]
3 years ago
10

I need help with this assignment.

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0
2. Definition of supplementary angles
I’m not too good with proofs but hopefully at least one answer helped lol sorry
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What does it mean for a differential equation to be autonomous?
andrew11 [14]
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.

Examples:

y'=y^2-1 is autonomous

y'=y^2-1+x is *not* autonomous
7 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
guajiro [1.7K]

Answer:

5 - x

Step-by-step explanation:

Given:

f(x)=25-x^2

g(x)=x+5

\begin{aligned}\left(\dfrac{f}{g}\right)(x) & = \dfrac{f(x)}{g(x)}\\\\ & = \dfrac{25-x^2}{x+5}\\\\& = \dfrac{(5-x)(5+x)}{(x+5)}\\\\& = \dfrac{(5-x)(x+5)}{(x+5)}\\\\& = 5-x\end{aligned}

8 0
2 years ago
Read 2 more answers
I’m confused on this one
Mandarinka [93]

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP


From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.


Givens

PQ = 8

QR = 5

RS = 15

ST = x + 3


Ratio

QR/RP = RS/RT


Sub and solve

RP = 5 + 8

RP = 13


RT = 15 + x + 3

RT = 18 + x


5/13 = 15 / (18 + x) Cross multiply

5(18 + x) = 195 Remove the brackets on the left.

90 + 5x = 195 Subtract 90 from both sides.

5x = 105 Divide by 5

x = 105/5

x = 21 Answer <<<<<<<

3 0
3 years ago
Find the slope of the line that passes through (2, 5) and (6,4).
ElenaW [278]

Answer:

The slope of the line is \frac{1}{-4}.

Step-by-step explanation:

We use the formula change in y over change in x to find the slope:

\frac{5-4}{2-6}

Then we simplify:

\frac{1}{-4}

The slope of the line is \frac{1}{-4}.

7 0
2 years ago
PLZ HELP
nasty-shy [4]

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

7 0
2 years ago
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