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VARVARA [1.3K]
2 years ago
10

Complete 5^9/5^3=5^a

Mathematics
2 answers:
Goryan [66]2 years ago
7 0

Answer:

6=a

Step-by-step explanation:

5^9/5^3=5^a

We know that b^c = b^d = b^(c-d)

5^9/5^3=5^a

5^(9-3) = 5^a

5^6 = 5^a

The bases are the same so the exponents are the same

6=a

Gemiola [76]2 years ago
6 0

Answer:

a=6

Step-by-step explanation:

5^9/5^3=5^a

5^(9-3)=5^a

9-3=a

6=a

a=6

I hope this helps!

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Rewrite 8 1/2 as an improper fraction ​
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17/2

Step-by-step explanation:

8 × 2 = 16 adding 1 = 17

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3 years ago
If x^2+y^2=1, what is the largest possible value of |x|+|y|?
Marianna [84]

If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).

Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).

If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.

• Case 1: suppose <em>x</em> < 0. Then

<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = -1/√2   →   <em>y</em> = ±1/√2

• Case 2: suppose <em>x</em> ≥ 0. Then

<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = 1/√2   →   <em>y</em> = ±1/√2

In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.

6 0
2 years ago
Use Simpson's Rule with
KIM [24]

Find the attachment photo for complete solution

6 0
3 years ago
Calculate the angle of depression from the
Verizon [17]

Answer: 52.6^{\circ}

Step-by-step explanation:

Let the angle of depression be x.

\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}

7 0
2 years ago
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-a
brilliants [131]
Propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional

another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)


not proportional
7 0
3 years ago
Read 2 more answers
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