Divide the difference between 1300 and three hundred fifty, by four

Round 27.1018494699 to the nearest hundred-thousandth.

Charra [1.4K]

Answer:

27.10185

Hope it helps and have a great day! =D

~sunshine~

8 0

3 years ago

The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value

Sladkaya [172]

Given:

The equation is:

$3x-8y=k$

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of k.

Solution:

We have,

$3x-8y=k$

Substituting $x=0$ to find the y-intercept.

$3(0)-8y=k$

$0-8y=k$

$y=\dfrac{k}{-8}$

$y=-\dfrac{k}{8}$

Substituting $y=0$ to find the x-intercept.

$3x-8(0)=k$

$3x-0=k$

$x=\dfrac{k}{3}$

Area of a triangle is:

$A=\dfrac{1}{2}\times base\times height$

The height of the ∆AOB is $OB=\dfrac{k}{8}$ because distance cannot be negative and the base of the ∆AOB is $OA=\dfrac{k}{3}$ . So, the area of the ∆AOB is:

$A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}$

$A=\dfrac{k^2}{48}$

It is given that, the area of ∆AOB = 12 sq.units.

$\dfrac{k^2}{48}=12$

$k^2=576$

$k=\pm \sqrt{576}$

$k=\pm 24$

Therefore, the value of k is either 24 or -24.

4 0

3 years ago

the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function

galben [10]

Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.

Step 1: Determine the ordered pair

To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).

To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).

Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.

Step 2: Determine how to find slope

The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.

To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.

Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!

Step 3: Write out final answer

Now that we eliminated all the invalid options, let’s write out our final option as our answer.

Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.

Hope this helps! Comment below for more questions.

8 0

3 years ago

i need answers by tonight or the morning. its due tomarrow and im scarred to ask the teacher what to do.

kompoz [17]

I’ll explain part A and you can apply it to the other parts. The functions f(x), g(x), and m(x) are all equivalent to the given polynomials. So when it asks for f(x) + [g(x) - m(x)] you plug them in. The answer to Part A is 3x^2 +5x - z + [5x^2-3x+z - 2x^2 - 2x]. Combine the like terms (3x^2+5x^2-2x^2 = 6x^2 (because 3+5-2=6)) and so on until you’ve simplified it as much as possible!

4 0

3 years ago

The 90km/h bus runs between the two stations in 2 hours and 20 minutes.

AnnZ [28]

Answer:

1. distance is 210km

2. distance is 163•3km

Step-by-step explanation:

SPEED=DISTANCE÷TIME

90km/h= X ÷ 2 hrs and 20mins

CHANGE 20 MINS INTO HRS

1 hr = 60mins

? = 20mins

20mins * 1hr= 1/3hr

60mins

Speed=distance÷time

90km/h= X ÷ 21/3

Distance= speed * time

X = 90km/h * 21/3hrs

distance is 210km

Speed=distance ÷

70km/h= X ÷ 21/3hrs

Distance=speed * time

X = 70km/h * 21/3hrs

6 0

2 years ago