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lukranit [14]
2 years ago
6

How do I find the difference -6 - (-9) Pls explain how I can do negatives and positives numbers

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
5 0

Answer:

Step-by-step explanation:

-6 - (-9)

1) Remove parentheses

-6 + 9

2) Simplify

3

See attachted image for rules of positive and negative integers.

Source: YourDictionary

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100 POINTS+BRAINLIEST 8TH GRADE MATH PT 4: this one is similar to #3
djverab [1.8K]

Answer:

b.  x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

<u>Definitions</u>

  • Integer:  a whole number that can be positive, negative or zero.
    e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
  • Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2).  For example, 1, 3, 5, 7 are all positive odd numbers.
  • Consecutive: following one after the other in order.

<u>The sum of three consecutive odd integers</u>

Let x be the first odd integer.

As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive odd integers is thirty-nine" is:

x + (x + 2) + (x + 4) = 39

<u>To solve</u>

⇒ x + (x + 2) + (x + 4) = 39

⇒ x + x + 2 + x + 4 = 39

⇒ 3x + 6 = 39

⇒ 3x = 33

⇒ x = 11

Therefore, the three consecutive odd numbers are 11, 13 and 15.

6 0
1 year ago
Read 2 more answers
1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26
statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

<u>Part A</u>

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

<u>Part B</u>

The graph's function would be in the form of y=acos(bx+c)+d where a is the amplitude, \frac{2\pi}{b} is the period, -\frac{c}{b} is the phase/horizontal shift, and d is the average/midline.

We already know our amplitude of a=3 from part A.

Since our period is given to us as 26 seconds, then we can use the equation \frac{2\pi}{b}=26 to find b, which happens to be b=\frac{\pi}{13}.

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity sin(x)=cos(x-\frac{\pi}{2}) which shifts the cosine graph \frac{\pi}{2} units to the right. This means that c=-\frac{\pi}{2}, making our phase shift -\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5, or 6.5 feet to the right

Our average/midline would be d=12 as given as the average height by the problem.

Therefore, the function is f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12

<u>Part C</u>

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0
2 years ago
Read 2 more answers
If 4x = 64 then find the value of 12²x - 6
olga2289 [7]

Answer:

2298

Step-by-step explanation:

4x = 64

x = 64/4

x = 16

12²•16 -6

144•16 -6

2304 -6

2298

8 0
3 years ago
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PLEASE HELP ME I NEED HELP I WILL GIVE 35 POINTS
KATRIN_1 [288]
So, for each one you are trying to complete a full rotation or 360°. This means that you should add up all of the numbers and subtract that from 360.

#1. 360-279=81°
#2. 360-281=79°
5 0
3 years ago
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Find the value of a in the picture
ehidna [41]

Answer:

= 52°

Step-by-step explanation:

The obtuse angle at O is twice the angle made at the circumference /by the same segment b.

=52×2=104°

The base angles that are made by isosceles triangle that has the apex with angle 104° equal to (180-104)/2=38°

The radii of a circle are equal and meet tangents at right angles.

Angle a= 90-38= 52°

5 0
3 years ago
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