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MaRussiya [10]
3 years ago
6

Which best describes the intersection of two lines.

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
I believe it is a point or an angle...
Serga [27]3 years ago
5 0

Answer:

A Point

Step-by-step explanation:

When two line meet they create a point. almost think of it as two roads intersecting with each other

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if a population is increasing at a constant rate of 2.4% per year, by what percent will it increase in 10 years
mr_godi [17]
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6 0
3 years ago
How to integrate with steps:<br><br> (4x2-6)/(x+5)(x-2)(3x-1)
joja [24]

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}

\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)

You can use the "cover-up" method here to easily solve for a,b,c. It involves fixing a value of x to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

  • If x=-5, then 94=112a\implies a=\dfrac{47}{56}
  • If x=2, then 10=35b\implies b=\dfrac27
  • If x=\dfrac13, then -\dfrac{50}9=-\dfrac{80}9c\implies c=\dfrac58

So the integral we want to compute is the same as

\displaystyle\frac{47}{56}\int\frac{\mathrm dx}{x+5}+\frac{10}{35}\int\frac{\mathrm dx}{x-2}+\frac58\int\frac{\mathrm dx}{3x-1}

and each integral here is trivial. We end up with

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx=\frac{47}{56}\ln|x+5|+\frac27\ln|x-2|+\frac5{24}\ln|3x-1|+C

which can be condensed as

\ln\left|(x+5)^{47/56}(x-2)^{2/7}(3x-1)^{5/24}\right|+C

7 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Blababa [14]

Answer:

1/6

Step-by-step explanation:

There are 4 different types of clothing

We want socks

P(socks) = 1/4

Now we have 3 different colors, 2 of which are not blue

P(not blue) =2/3

P(socks that are not blue) = 1/4*2/3 = 2/12 = 1/6

6 0
3 years ago
Read 2 more answers
Heeelp<br> . Can someone please answer this to meee ? <br><br><br><br><br><br><br> .
lilavasa [31]

Answer:

If f(x)=g(x), the solution is x=-2

Step-by-step explanation:

We are given:

f(x)=3x+3\\g(x)= (-1/2)x-4

We need to find the solution if f(x)=g(x)

Now solving for f(x)=g(x)

f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2

If f(x)=g(x), the solution is x=-2

7 0
3 years ago
Use the net as an aid to compute the surface area (rounded to the nearest integer) ofvthe triangular pyramid with an equilateral
otez555 [7]

Answer:

A) 106 ft^2

Step-by-step explanation:

The total surface area is the area of the base triangular face and the three lateral faces.

The base triangular face has length of its base to be b=6 ft.

The height of this triangle is 5.2 ft.

The area of this triangle  is

Area=\frac{1}{2}\base \times height

Area=\frac{1}{2}\times 6\times 5.2

Area=15.6ft^2=16ft^2 to the nearest integer

The area of the three lateral face is

Area=3\times \frac{1}{2}\times 6\times 10=90ft^2

The total surface area is therefore 90+16=106 square feet

3 0
3 years ago
Read 2 more answers
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