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Dmitrij [34]
3 years ago
10

PLEASE PLEASE PLEASE HELP!! seriously, i'm behind and i have til monday to make it up ///:

Mathematics
1 answer:
liberstina [14]3 years ago
7 0
I'm not 100% sure, as we don't do this at school here, but I think its :
1) 3 units right, 2 units down
2) (x, y) > (x-12, y+3)
3) (x, y) > (x+9, y-8)
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Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
The pairs of polygons below are similar. Give the sale factor of figure A to figure B
liq [111]

Answer:

5/2

Step-by-step explanation:

Since the two figures are similar therefore their sides are in proportion.

for the first one

factor=2/8=1/4

for the second

factor=10/4=5/2

I hope this helps :)

7 0
3 years ago
Micah is buying gravel for a rock garden that will be edged by a circular metal border. She will use 110 feet of metal edging fo
qaws [65]

Answer:

9,498.5 ft²

Step-by-step explanation:

110 ft = circumference (C)

C=2r

110=2r

110/2=2r/2

55=r

Area of a circle (A) = πr²

Use 3.14 for π

A=3.14(55)²

A=3.14(3025)

A=9,498.5

The area of the garden is 9,498.5 ft²

7 0
3 years ago
10 oranges cost $7.50. What is the unit rate?​
iren [92.7K]
The unit rate is 75¢. 7.50 divided by 10 (oranges) is the $0.75 or 75¢
7 0
3 years ago
Read 2 more answers
What is a rule for the sequence?
Over [174]
Rule: add 4/6 because 5/6 + 4/6=1 1/2
8 0
4 years ago
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