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3 years ago

Help please! Due in 30 minutes!

Mathematics

2 answers:

Gekata [30.6K]3 years ago

7 0

Answer:

What is the Power rule?

The Power rule tells us how to differentiate expressions of the form x^nx

x, start superscript, n, end superscript (in other words, expressions with xxx raised to any power):

\dfrac{d}{dx}x^n=n\cdot x^{n-1}

=n⋅x

n−1

start fraction, d, divided by, d, x, end fraction, x, start superscript, n, end superscript, equals, n, dot, x, start superscript, n, minus, 1, end superscript

Basically, you take the power and multiply it by the expression, then you reduce the power by 111.

Example: What is the derivative of x2 ?

For x2 we use the Power Rule with n=2:

The derivative of x2 = 2x(2-1)

= 2x1

= 2x

Answer: the derivative of x2 is 2x

never [62]3 years ago

3 0

Answer:

Product of a Power: When you multiply exponentials with the same base, you add their exponents (or powers). Power to a Power: When you have a power to a power, you multiply the exponents (or powers). Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents (or powers).

Step-by-step explanation:

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Explain what independent and dependent variables mean

g100num [7]

Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

3 0

3 years ago

In △ABC, point M is the midpoint of AB , point D∈ AC so that AD:DC=2:5. If AABC=56 yd2, find ABMC, AAMD, and ACMD.

Komok [63]

Since point M is the midpoint of AB, then AM=MB.

Consider the area of the triangles ABC and BMC:

$A_{ABC}=\dfrac{1}{2}\cdot AB\cdot h_c=56\ yd^2,$

where $h_c$ is the height drawn from the vertex C to the side AB.

So, $AB\cdot h_c=112\ yd^2.$

Now

$A_{BMC}=\dfrac{1}{2}\cdot BM\cdot h_c=\dfrac{1}{2}\cdot \dfrac{AB}{2}\cdot h_c=\dfrac{1}{4}\cdot AB\cdot h_c=\dfrac{1}{4}\cdot 112=28\ yd^2.$

Also

$A_{AMC}=A_{ABC}-A_{BMC}=56-28=28\ yd^2.$

Now consider the area of the triangles AMD and CMD. Let $h_M$ be the height drawn from the point M to the side AC.

$A_{AMD}=\dfrac{1}{2}\cdot AD\cdot h_M=\dfrac{1}{2}\cdot \dfrac{2AC}{7}\cdot h_M=\dfrac{2}{7}\cdot \left(\dfrac{1}{2}\cdot AC\cdot h_M\right)=\dfrac{2}{7}\cdot A_{AMC}=\dfrac{2}{7}\cdot 28=8\ yd^2.$

Therefore,

$A_{MDC}=A_{AMC}-A_{AMD}=28-8=20\ yd^2.$

Answer: $A_{MBC}=28\ yd^2, A_{AMD}=8\ yd^2, A_{MDC}=20\ yd^2.$

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3 years ago

Read 2 more answers

What is the congruence statement for the given triangles?

Juli2301 [7.4K]

Answer:

A triangle with three sides that are each equal in length to those of another triangle, for example, are congruent. This statement can be abbreviated as SSS. Two triangles that feature two equal sides and one equal angle between them, SAS, are also congruent.

Step-by-step explanation:

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3 years ago

How do I find zeros and multiplicities

maksim [4K]

You can use the Ruffini's rule. The answer using this method is,

$(x-3) (x+4)^2 (6 + x^2)$

And you can see that the multiplicity of the zero x=-4 is 2, and the multiplicity of the zero x=+3 is 1.

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3 years ago

What is the slope passing through the points (6,5) and (5,3)

Rus_ich [418]

Answer:

$m=2$