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3 years ago

12

Mathematics

2 answers:

yawa3891 [41]3 years ago

8 0

Answer:

TBH I would go with either B or D.

Step-by-step explanation:

Well first off your going to 24 miles not 96 or 99 and it doesn't say how much they went on Monday or Tuesday

Nezavi [6.7K]3 years ago

4 0

Answer:

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

Solve the following using substitution method

Wewaii [24]

Solution :

2a + 2b = 7 ...1)

4a + 3b = 12 ...2)

In equation, 1)

a = (7 - 2b)/2 ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2 + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16 ...5)

x + 2y = -6 ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

6 0

3 years ago

What’s the temperature difference between -5 degrees and 25 degrees?

Karo-lina-s [1.5K]

difference between -5 and 25 is

25 + 5 = 30 degrees

answer is C.

6 0

3 years ago

Line t intersects the line given by y=4x-2 at the point (4,14) to form a right angle. Which is the equation of line t

Aliun [14]

Answer:

y = -1/4 x + 15.

Step-by-step explanation:

y = 4x - 2 has a slope of 4 ( = the coefficient of x).

The line at right angles to it will therefore of a slope of -1/4.

Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:

y - 14 = -1/4(x - 4)

y = -1/4x + 1 + 14

y = -1/4x + 15

4 0

4 years ago

Зу - 2x = -2 у+ 2x = 8

Andrew [12]

Answer:

(3.25, 1.5)

Step-by-step explanation:

First, turn the 2nd equation into y=mx+b form:

у+ 2x = 8

-2x -2x

y = -2x + 8

Next Substitute:

З(-2x+8) - 2x = -2

-6x + 24 - 2x = -2

-8x + 24 = -2

Then simplify:

-8x + 24 = -2

-24 -24

-8x = -26

x = 3.25

Lastly, substitute x into any one of the original equations:

y + 2 (3.25) =8

y + 6.5 = 8

- 6.5 - 6.5

y = 1.5

please give me brainliest i worked hard on this :,)

and its 1000% correct, i checked it i promise

7 0

3 years ago