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Lapatulllka [165]
3 years ago
10

What is equivalent to

dle" class="latex-formula">
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS
Mathematics
1 answer:
kherson [118]3 years ago
8 0

For this case we must indicate an expression equivalent to:

(3 ^ 6) ^ 3

For properties of powers we have to:

(a ^ n) ^ m = a ^ {n * m}

So, the above expression can be rewritten as:

(3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}

Thus, the resulting expression is: 3^{ 18}

Answer:

3^{ 18}

Option D

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2 years ago
Please help
iren2701 [21]
For question 1:
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
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For question 2:
68.4 ÷ 72 = 0.95
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For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
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For question 4,
1% = 48 ÷ 40 = 1.2
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8 0
2 years ago
Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

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3 0
2 years ago
If the two angles are complementary, find the measure of each of angle. I am having trouble decoding this problem in it it says
telo118 [61]

Answer:

f=10

Step-by-step explanation:

I don't know a formula for this but I can see that <CRE is a 90° angle so 7f+2f=90 and if f=10 7f=70 and 2f=20 which fits

3 0
3 years ago
3. 'a' and 'b' are the intercepts made
Julli [10]

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

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The equation of the line.

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\dfrac{x}{a}+\dfrac{y}{b}=1         ...(i)

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b=3(2)

b=6

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Putting a=2 and b=6 in (i), we get

\dfrac{x}{2}+\dfrac{y}{6}=1

Therefore, the equation of the required line in intercept form is \dfrac{x}{2}+\dfrac{y}{6}=1.

5 0
3 years ago
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