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masha68 [24]
3 years ago
11

What is the slope for (-12,-5),(0,-8)

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

m= - 1/4

       

Step-by-step explanation:

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Given that 3^x = 4^y = 12^z, show that z = (xy)/(x+y).
irinina [24]
3^{x} = 4^{y} = 12^{z}
3^{x} = 4^{y} = (4 \cdot 3)^{z}
3^{x} = 4^{y} = 4^{z} \cdot 3^{z}

\text{Let a } = 3^{x} = 4^{y} = 4^{z} \cdot 3^{z}
log_3a = x
log_4a = y
log_{(4 \cdot 3)}a = z

Using change of base:
x = \frac{lna}{ln3}
y = \frac{lna}{ln4}
z = \frac{lna}{ln(4 \cdot 3)}

ln3 = \frac{lna}{x}
ln4 = \frac{lna}{y}
ln(4 \cdot 3) = \frac{lna}{z}

Now, ln(4 · 3) = ln(4) + ln(3)

\frac{lna}{z} = \frac{lna}{x} + \frac{lna}{y}
\frac{1}{z} = \frac{1}{x} + \frac{1}{y}
\frac{1}{z} = \frac{x + y}{xy}

\therefore z = \frac{xy}{x + y}
8 0
4 years ago
The weight of 8 science books is 28 pounds. What is the weight of 11 science books?
n200080 [17]
First,divide 28 divided by 8 which is 3.5
then,multiply your answer (3.5) times the 11 books.

so 3.5 times 11 which equals 38.5
8 0
3 years ago
How would the real number 1/2 be written as a complex number?<br> 1+2i<br> 1/2i<br> 1/2+0i<br> 1\2
erica [24]

Answer:

1/2 =0.5

1/2+0i=io+1/2

1/2i=1/2i

1+2i

=1+2i

Step-by-step explanation:

4 0
3 years ago
~ ! ANGLE MEASURE ! ~
Troyanec [42]

Answer:

1 and5

Step-by-step explanation:

.......?...........

6 0
3 years ago
The difference of twice a number and 3 is 11
Softa [21]
Let's break this down:

The difference: Something's gotta be subtracted
Twice a number: So 2 times a number, or n
and 3: So we gotta subtract 2n and 3
is 11: The final answer is 11
So altogether is:

2n - 3 = 11
7 0
4 years ago
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