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3 years ago

Which angles are supplementary angles?

Mathematics

1 answer:

Tpy6a [65]3 years ago

5 0

Answer:

Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.

Answer - KJM and KJH

If i'm wrong please tell me

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4. Simplify the expression by combining like terms. 8a+6b+5a+2b *

marissa [1.9K]

Answer:

Step-by-step explanation:

Add the like terms, the a's by themselves and b's by themselves.

8a+5a=13a

6b+2b=8b

so 13a+8b

7 0

3 years ago

Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

$r^2+2r+1=(r+1)^2=0\implies r=-1$

so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
$\implies{y_p}'=2at+b-2de^{-2t}$
$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
$\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3$

So the general solution to the ODE is

$y=y_c+y_p$
$y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}$

4 0

3 years ago

90 is 180% of what number?

KATRIN_1 [288]

Set up a proportion; the percentage is always over a 100. then, cross multiply.
90 180
? 100

6 0

3 years ago

Lines parellel to the line 2x-1

tamaranim1 [39]

Answer:

2x-1

Step-by-step explanation:

5 0

3 years ago

Fifteen 2 inch nails weigh 35 grams. How many of these nails weigh 175 grams? Can you explain how to do this please thankyou so

polet [3.4K]

Solving:

1) Pass: Make the rule three (Directly proportional)

Two inch nails ______ grams (<span>Weight)
</span>15 ----------------------------35
n ----------------------------- 175

2) Pass: <span>Multiply cross
</span>
$35*n = 15*175$

3) Pass: Simplify
$35*n = 15*175$
$35n = 2625$
$n = \frac{2625}{35}$
$\boxed{n = 75}$

Answer:
75 nails weigh 175 grams

8 0

3 years ago