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elena-s [515]
3 years ago
14

Let a and b be any two integers. Show that the following statement is false: If 3|(a+b),then 3|(a−b).Hint. To show that the stat

ement is false, you need to find two integers a and b for which 3|(a+b) is true and 3|(a−b) is false.
Mathematics
1 answer:
Phoenix [80]3 years ago
3 0

Answer with Step-by-step explanation:

Let a and b are two integers.

We have to show that

if 3\a+b then 3\a-b is false.

In order to prove that given statement is false we prove this with the help of example

Suppose we have two integers a=2 and b=4

if 3\2+4

3\6=2

2-4=-2

But 3 does not divide -2.

Therefore, the given statement is false.

Hence, proved.

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A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the len
VLD [36.1K]

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = \frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

6 0
3 years ago
Hurry !!!!!!!!! i will mark you brilliant
sesenic [268]

Answer:

289

Step-by-step explanation:

4 0
3 years ago
How many radians are there in 1 degree?
sweet-ann [11.9K]

Answer:

0.0174533

Step-by-step explanation:

Hope this helps

6 0
3 years ago
A + 3(a - 1)= 3(2 +1)
N76 [4]
A+3a-3=6+3. 4a=12. a=3.
5 0
3 years ago
Help plz<br><br> What different and similar between Rectangle and square
podryga [215]
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.
6 0
3 years ago
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