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3 years ago

Write an integer to represent each of the following situations:

Mathematics

1 answer:

Ray Of Light [21]3 years ago

3 0

Answer:

explained

Step-by-step explanation:

A) loss is negative hence the integer corresponding the situation = -345,000

b) earning is positive hence the integer corresponding the situation = +25

c) Jacob is debt so = -5

d)Sun is hot therefore positive temperature= +5,500° C

e) The temperature outside is 4 degrees below zero.= -4°C

f)the football player lost 10 yards hence the integer would be negative= -10

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Read 2 more answers

If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?

tatyana61 [14]

Answer:

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

$a^2-b^2=100$

$(a+b)(a-b)=100$

Lets say: $(a+b)=p$ , $(a-b)=q$

Let us consider the factor pairs of 100.

$(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)$

Only factor pair $(2,50)$ gives us the integer values of 'a' and 'b'.

$a+b=50$ ....equation (1)

$a-b=2$ ........ equation (2)

adding equation 1 and 2, we get:

$2a=52$

$a=\frac{52}{2}=26$

$a-b=2$

Plugging the value of 'a' in the equation 2

$26-b=2$

$b=24$

So the greatest possible value of 'a' is 26.

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