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3 years ago

9

If (5x^4)(2x^6)=ax^b, what is the value of a-b?

2 answers:

stellarik [79]3 years ago

5 0

$5x^4\cdot2x^6=ax^b\\10x^{10}=ax^b\\a=10 \wedge b=10$

$a-b=10-10=0$

ehidna [41]3 years ago

3 0

$(5x^4)(2x^6)=(5\cdot2)(x^4\cdot x^6)=10x^{4+6}=10x^{10}=ax^b$

so

$a=10\qquad b=10$

and

$a-b=10-10=\boxed{0}$

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if 40 percent of a circle is taken what would be the angle you would draw to represent 40 percent of the circle

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3 years ago

Pediatricians prescribe 5mL of cough syrup for every 25lb of a child's weight. How many mililiters of cough syrup will the docto

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Answer:

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3 years ago

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3 0

3 years ago

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng

ExtremeBDS [4]

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

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Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

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Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

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7 0

3 years ago

Read 2 more answers

The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago