Write an equation in slope-intercept form for the line perpendicular to y=-3x + 9 that passes through the point (9,9)

I need help with this, neither of my parents can help me and i want to understand.

olga2289 [7]

Answer:

See explanation

Step-by-step explanation:

1. To rewrite the expression

$(4^{\frac{2}{5}})^{\frac{1}{4}},$

use exponents property

$(a^m)^n=a^{m\cdot n}$

So,

$(4^{\frac{2}{5}})^{\frac{1}{4}}=4^{\frac{2}{5}\cdot \frac{1}{4}}=4^{\frac{2}{20}}=4^{\frac{1}{10}}$

2. Why $10^{\frac{1}{3}}=\sqrt[3]{10}?$

Raise both sides to 10 power:

$(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10$

So,

$(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3$

3. Simplify $\dfrac{3^4}{9}$

Use the Quotient of Powers Property:

$\dfrac{a^m}{a^n}=a^{m-n}$

Then

$\dfrac{3^4}{9}=\dfrac{3^4}{3^2}=3^{4-2}=3^2$

4. Solve $4\sqrt{2}+5\sqrt{4}$

First, note that $\sqrt{4}=2,$ then

$4\sqrt{2}+5\sqrt{4}=4\sqrt{2}+5\cdot 2=4\sqrt{2}+10$

Number $4\sqrt{2}$ is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.

5. The same as option 4.

3 0

3 years ago

Write an expression to determine the length of the room in units of 3 feet.

Mnenie [13.5K]

Answer:

1/3L

Step-by-step explanation:

The question with some background info added:

When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches)
Write an expression to determine the length of the room in units of 3 feet.

<h3>Solution</h3>

Let the length of the room be L feet measured by the carpenter

Then

L/3 = 1/3L would be measure of the length in units of 3 feet

5 0

3 years ago

Please order a b and c from least to greatest

vagabundo [1.1K]

Answer:

Jsi18 8 7

Step-by-step explanation:

Ndjsiwiw

4 0

3 years ago

Spin a spinner numbered 1 to 5 and toss a coin. What is the probability of spinning an odd number

Sphinxa [80]

Answer:

The correct answer is B. 3/10.

Step-by-step explanation:

1. Let's calculate the probability of spinning an odd number:

We can spin an odd number (1, 3 or 5) out of 5 events, it means that the probability of spinning an odd number is:

3/5

2. Let's calculate the probability of getting tails on the coin:

We can toss a coin and get tails one out of 2 events, it means that the probability of getting tails on the coin is:

1/2

3. These are independent events because the fact that we spin an odd number does not affect the probability of getting tails on the coin, thus:

Probability of spinning an odd number and getting tails on the coin =

3/5 * 1/2 = 3/10

The correct answer is B. 3/10

5 0

3 years ago

Vicki would like to estimate the probability of tails coming up fewer than 2 times in 3 coin flips.

Ganezh [65]

Answer:

0.4

Step-by-step explanation:

Vicki has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 15 trials are shown in the table.

110 111 000 011 000

010 101 100 000 000

111 101 110 101 111

Vicki would like to estimate the probability of tails (1) coming up fewer than 2 times (must be 0 or 1 digit 1 in record). All such seuences are marked in bold int the above table. There are 6 such trails. Hence, Vicki's estimated probability, based on this simulation is

$\dfrac{6}{15}=\dfrac{2}{5}=0.4$

6 0

3 years ago