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3 years ago

The error in the equation

Mathematics

2 answers:

Valentin [98]3 years ago

5 0

Answer:

I a=-3/4

Step-by-step explanation:

4-3=(42)2a

same bases

-3/4=4a/4

=-3/4

sergeinik [125]3 years ago

4 0

Answer:

a = -3/4

Step-by-step explanation:

1/64 = 16 ^(2a)

4^ -3 = 2^4 ^(2a)

4^-3 =2^(8a)

The bases are not the same so the exponents cannot be equated yet

2^2^-3 = 2 ^(8a)

2 ^ (-6) = 2 ^(8a)

Now the bases are the same so we can equate the exponents

-6 = 8a

Divide each side by 8

-6/8 =a

-3/4 =a

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Find the measure of line segment DF.<br> A) 12<br> B) 13<br> C) 14<br> D) 15

brilliants [131]

As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.

<h3>What is Intersecting Chords theorem?</h3>

If two chords cross in a circle, the products of the chord segments' measures are equal.

As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,

DF×FB = CF×FA

(x+8) × 8 = 16 × 7

(x+8) = (16×7)/8

(x+8) = 14

Hence, the measure of the line segment is DF is 14 units.

Learn more about Intersecting Chords theorem:

brainly.com/question/15298662

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2 years ago

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MArishka [77]

Answer: D

Step-by-step explanation:

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3 years ago

Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t

yarga [219]

Answer:

$f(-6,-1) =0$

Step-by-step explanation:

We are given the following in the question:

$f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2$

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

$f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3$

Now, putting values, we get,

$f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0$

is the required value.

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