Ask question

Ask question

All categories

4 years ago

11

Solve for b in (y^-9)^b=y^45

1 answer:

ElenaW [278]4 years ago

8 0

Y^-9 * b = y^45 Divide by y^-9
b = $\dfrac{y^{45}}{y^{-9}}$

The law of powers says that if you have the same base (y in this case) and two different powers that are divided, you can subtract the denominator from the numerator (in this case)

b = $y^{45- - 9} = y^{54}$

You might be interested in

Find 3 different ratios that are equivalent to 7:3.

ratelena [41]

Answer:

14:6

21:9

28:12

Step-by-step explanation:

Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:

7 x 2 = 14

3 x 2 = 6

14:6

7 x 3 = 21

3 x 3 = 9

21:9

7 x 4 = 28

3 x 4 = 12

28:12

5 0

3 years ago

Read 2 more answers

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

Five friends will share equally 1/2 yard of felt for an art project. How much felt will each friends get

eimsori [14]

The app will only let me give one photo at a time, so here's part 1.

5 0

3 years ago

Read 2 more answers

The initial deposit into an account?

zhuklara [117]

Answer:

B

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit.

8 0

3 years ago

Help help help help me me

Jet001 [13]

Answer:

Step-by-step explanation:

Sorry

5 0

3 years ago

Read 2 more answers