1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luba_88 [7]
3 years ago
9

Find the opposite integer of 6

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
The opposite integer is -6 because if it's positive then the opposite is negative
You might be interested in
The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
Suppose that the world's current oil reserves is R = 1820 billion barrels. If, on average, the total reserves
iVinArrow [24]

Answer:

A. R = -18t + 1,820

B. 1,568 billions of barrels

C. approximately 101.11 years

Step-by-step explanation:

To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:

R = -18t + 1,820

We can use this equation to answer Part B.

Replace the t with 14:

R = -18(14) + 1,820

Now solve for R:

R = -18(14) + 1,820

R = -252 + 1,820

R = 1,568

14 years from now, there will be 1,568 billions of barrels left.

To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:

0 = -18t + 1,820

Subtract 1,820 from both sides to isolate -18t:

0 - 1,820 = -18t + 1,820 - 1,820

-1,820 = -18t

Divide both sides by -18 to isolate the t:

-1,820/-18 = -18t/-18

101.11 = t

After approximately 101.11 years, all of the oil will be used up.

3 0
2 years ago
How do you show your work for this problem?
laiz [17]

Answer:

i cant see it

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many km/hr is 28 feet per minute
Marina86 [1]
28 ft per min = 0.512064 km per hour
7 0
3 years ago
Read 2 more answers
What is the 99th term counting by 2s
kolbaska11 [484]
You just have to multiply 2 by 99, so the answer is 198.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Car Value: In one year a new car decreased in value by 20%. If it sold for $19,400 when it was new, what was it worth after 1 ye
    12·1 answer
  • Lyle has a mortgage of $96,000 at 7.75% for 30 years. Find the total interest.
    10·1 answer
  • What is the additive inverse of -6.
    10·1 answer
  • The Mendes family bought a new house 6 years ago for $104,000. The house is now worth $177,000. Assuming a steady rate of growth
    6·1 answer
  • How do you solve for x when it's cubed?
    9·1 answer
  • Tom thinks a quarter of 64 larger than 50% of 34 is he right? Explain.
    13·1 answer
  • How do you solve this equation ​
    9·1 answer
  • How do you convert 94 degrees Fahrenheit to Celsius?
    13·1 answer
  • What is 1/3 into decimal form
    10·2 answers
  • How many like terms are in the expression?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!