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salantis [7]
3 years ago
6

Show that the cube of positive integer is 6q+r ,where q is an integer & r=0,1,2,3,4,5

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

6(6)² + 0 = 6³

6(0) + 1 = 1³

6(1) + 2 = 8 = 2³

6(4) + 3 = 27 = 3³

6(10) + 4 = 64 = 4³

6(20) + 5 = 125 = 5³

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One linear equation is defined by points (1, 6) and (3, 7), while the other is defined by points (3, 6) and (5, 8). Which point
zysi [14]
So we need to find the two lines...y=mx+b where m is the slope and b is the y-intercept.

m=(dy/dx)=(7-6)/(3-1)=1/2 so

y=x/2+b, now I'll use (1,6) to solve for b

6=1/2+b, b=5 1/2=11/2 so

y1=(x+11)/2

now the other line...

m=(8-6)/(5-3)=2/2=1

y2=x+b, using point (3,6) we solve for b

6=3+b, b=3 so

y2=x+3

Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:

x+3=(x+11)/2

2x+6=x+11

x+6=11

x=5, now use either line to solve for the corresponding y value...

y2=x+3 becomes y=5+3=8 so the solution to this system is the point:

(5,8)
6 0
3 years ago
Read 2 more answers
Please help asap 25 pts
devlian [24]
The answer is B hope this would help you
7 0
3 years ago
Which expression has a value of 15 when n = 7?
sweet [91]
The answer is D.

Explanation- 28/7=4

19-4 =15
6 0
3 years ago
The longest fingernails ever recorded were 8.650 meters. How long were the fingernails in a feet and inches? ​
Oksana_A [137]

Answer: 28 feet and 4.5 inches

8 meters = 26.24...

.650 meters = 25 inches.

25 inches = 2 feet 1 inch

28 and 4.5 inches is your answer.

4 0
3 years ago
A wheel assembly is
Basile [38]

Answer:

The total weight of the assembly is 7 pounds.

Step-by-step explanation:

The total weight of the assembry is found by the sum of the weights of each components.

We have:

2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds

An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds

The total weight of the assembly is 7 pounds.

5 0
3 years ago
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