1/216 using negative exponents

Perpendicular to y=2x+9 and has the point (4,-1)

Wewaii [24]

Answer: y = $-\frac{1}{2}$ x + 1

Step-by-step explanation:

First, we will find the slope. The slope of perpendicular lines are negative reciprocals.

In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is $-\frac{1}{2}$ .

Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.

y = <em>m</em>x + <em>b</em>

(-1) = ( $-\frac{1}{2}$ )(4) + <em>b</em>

-1 = -2 + <em>b</em>

1 = <em>b</em>

Lastly, we will write our equation.

y = <em>m</em>x + <em>b</em>

y = $-\frac{1}{2}$ x + 1

The line is y = $-\frac{1}{2}$ x + 1, or y = 1 - $\frac{x}{2}$ .

4 0

2 years ago

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A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic met

ivanzaharov [21]

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

3 0

2 years ago

RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujer

Tanzania [10]

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

7 0

3 years ago

Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.

givi [52]

<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

$TotalDuration=Introduction+n*Skit$

Second equation:

$Skit=6Minutes$

Where,

$TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes$

So, replacing and substituting the second equation into the first equation we have:

$101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16$

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

$101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes$

Have a nice day!

8 0

3 years ago

What is the solution to the inequality a-3>5

Lady bird [3.3K]

Answer:

a > 8

Step-by-step explanation:

a-3>5

Add 3 to each side

a-3+3>5+3

a > 8

6 0

3 years ago

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