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3 years ago

Which equation represents a circle that contains the point (-5. -3) and has a center at (-2, 1)?

Mathematics

1 answer:

nlexa [21]3 years ago

4 0

The answer for this is b. Trust me on this

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Mary logged into work at 8:10 am and logged out at 3:45 pm. How many hours did she work? (Her employer rounds to the nearest qua

Nataly [62]

I'm assuming your answers are listed as 1 through 4, not decimals.
You simply take 12 - 8 = 4, but ten min. less than that, so 3 hr, 50 min. then add 3 hr 45 min, totaling 7 hr 35 min. , which is closest to 7 and 1/2 hours, the second option.

8 0

2 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

Will give 50 points

mafiozo [28]

Answer:

120.96$

Step-by-step explanation:

150$ - 25% = 112$

112$ + 8% = 120.96$

Hope this helps!!

7 0

2 years ago

The diagram above, not drawn to scale,shows a triangle, ABC, with area 28units². Show workings.

Valentin [98]

A. (0,-6)
plug in the area to the area formula for a triangle (A=1/2bh). so 28=1/2b(4) [since the height is 4]. divide by 4 (7=1/2b). multiply by 2/divide by 1/2 (14=b). the base equals 14 units long.
B. y=2/3x+4
find the slope of the line (2/3)
the y-intercept is 4

4 0

3 years ago

PLEASE HELP!!

jonny [76]

Answer:

A. f(n) = (n + 1)^2 – 1

Step-by-step explanation:

Figure 1

3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1

Figure 2

8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1

Figure 3

15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1

<u>The function is:</u>

f(n) = (n + 1)² - 1

7 0

2 years ago