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Ratling [72]
3 years ago
9

I added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.

Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9

Step-by-step explanation:

To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.

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If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds
lapo4ka [179]

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

3 0
3 years ago
Read 2 more answers
Jasmine’s age is 4 times her age 10 years ago. Write an equation that represents the statement.
aleksandr82 [10.1K]

Answer:

x + 10 = 4x

Step-by-step explanation:

Let x = her age 10 years ago.

Her age now is x + 10.

x + 10 = 4x

5 0
1 year ago
For which of the following decreasing functions f does (f−1)′(10)=−1/8
Oduvanchick [21]

Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then

f⁻¹(f(x)) = x   ⇒   (f⁻¹)'(f(x)) • f'(x) = 1   ⇒   (f⁻¹)'(f(x)) = 1/f'(x)

⇒   (f⁻¹)'(b) = 1/f'(a)

Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.

7 0
2 years ago
Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7
Nutka1998 [239]
As a Bernoulli equation:

x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6

Let z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}. The ODE becomes

-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6
x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4
\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4
x^6z=-6\displaystyle\int x^4\,\mathrm dx
x^6z=-\dfrac65x^5+C
z=-\dfrac6{5x}+\dfrac C{x^6}
y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}
y=\dfrac1{\frac C{x^6}-\frac6{5x}}
y=\dfrac{5x^6}{C-6x^5}

With y(3)=6, we get

6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2

so the solution is

y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}

which is valid as long as the denominator is not zero, which is the case for all x\neq\sqrt[5]{\dfrac{4131}{12}}.
8 0
3 years ago
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial
dsp73

Given that:

The expressions are 3z−2, 2x^3+x-12, 9b, 9x-2.

Solution:

Monomial : It contains single terms.

Binomial : It contains two terms.

Trinomial :  It contains three terms.

Polynomial : It contains atleast one algebraic term.

Degree of polynomial : It is highest power of the variable.

3z-2 ,  here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.

2x^3+x-12 ,  here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.

9b ,  here b is a constant. So, it is not a polynomial and it is a monomial.

9x-2 ,   here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.

6 0
3 years ago
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