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kodGreya [7K]
3 years ago
14

If z is an even integer which of the following expressions must represent an odd integer?

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

There is no choice on your list that must represent an odd integer.

If  'z'  is an even integer, then (z-1) and (z+1) must both be odd integers.

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forsale [732]

Answer:

The answer is A.

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Step-by-step explanation:

3 0
3 years ago
X and y intercepts please
disa [49]
X intercept- 3.5
y intercept- 2.5
3 0
2 years ago
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Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
3 years ago
What is the slope of the line that contains the points (-1,2) and (3,3)?
Semmy [17]

Answer:

1/4

Step-by-step explanation:

To find the slope of a line from two points we use

m = (y2-y1)/(x2-x1)

m = (3-2)/ (3--1)

   = (3-2)/(3+1)

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4 0
3 years ago
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The numbers that satisfy the equation a =5.
madam [21]
<h2>Explanation:</h2>

We use an equation to say that two things are equal. An equation always has an equal sign "=". So an equation tells us that the left side is equal to the right side. In this case, we have the following equation:

a =5

So the only value that makes this equation to be true is 5, because:

5=5

For instance, let's choose another value, say, 8. So substituting:

6 =5 \ \text{So this statement is false because} \ 6\neq 5

5 0
3 years ago
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