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3 years ago

which statements must be true check all that apply consider the reflection of triangle ABC across the line of reflection line PT

Mathematics

1 answer:

melomori [17]3 years ago

3 0

2nd, 3rd, 5th, & 6th are the correct answers.

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Mapping congruent Triangles

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The answer is b so mark it down

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A box contains a $1 bill, a $5 bill, a $10 bill, and a $20 bill. If two bills are selected at random what is the probability tha

pshichka [43]

Answer:

50%

Step-by-step explanation:

Because you can get either 1 and 5 which is 6 or 10 and 1 whoch is 11 but the other two will give you 15+

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430 tens x 3 tens how many in hundreds

erastova [34]

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4 years ago

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Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

sashaice [31]

Answer:

$f(x) = x^3 -sinx +Cx+D$

Step-by-step explanation:

Given that:

$f ''(x)= 6x +sinx$

We are given the 2nd derivative of a function f(x) and we need to find f(x) from that.

We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

$1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C$

$\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\$

Now, integrating it again to find f(x):

$f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx -\int{cosx} \, dx +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3} -sinx +Cx+D\\\Rightarrow x^3 -sinx +Cx+D\\\\\therefore f(x) = x^3 -sinx +Cx+D$

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4 years ago