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3 years ago

The sum of two integers with different signs is 8. Give two possible integers that fit this description

Mathematics

2 answers:

lapo4ka [179]3 years ago

7 0

These are two problems that fit in that description 10+(-2) AND 15+(-7)

bixtya [17]3 years ago

4 0

Answer: The two possible integers are -5 and 13 or -6 and 14.

Step-by-step explanation: We are given to find two integers with different signs and having sum equal to 8.

Let a and b represents the two integers.

Then, we can see that

a = -5 and b = 13, then we get

$a+b=-5+13=8.$

And, if a = -6 and b = 14, then

$a+b=-6+14=8.$

Thus, the two possible integers are -5 and 13 or -6 and 14.

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Write the equation of the line parallel to the given line and passing through the given point.

Bad White [126]

Answer:

a) y = 2x +4

b) y = 1/2x +4

c) y = -2x +11

Step-by-step explanation:

The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.

We can then write an equation of a parallel line using the point-slope form of the equation of a line:

y -k = m(x -h) . . . . for a line with slope m through point (h, k)

If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.

y = mx +(k -mh)

a) m = 2, (h, k) = (3, 10)

y = 2x +(10 -2·3)

y = 2x +4

b) m = 1/2, (h, k) = (0, 4)

y = 1/2x +(4 -(1/2)·0)

y = 1/2x +4

c) m = -2, (h, k) = (4, 3)

y = -2x +(3 -(-2)(4))

y = -2x +11

5 0

3 years ago

What can this simplify to?

Mkey [24]

→ Chapter : Exponentiation ←
≡ We know that:
⇔ $\frac{a^{x}}{a^{y}}=a^{(x-y)}$
⇔ $\frac{1}{a^{-b}}=a^{b}$

≡ Solution:
⇒ $\frac{4^{2}g^{3}p^{-2}}{4^{5}g^{12}m^{-5}}$
⇒ $[4^{(2-5)}].[g^{(3-12)}].[p^{-2}].[m^{5}]$
⇒ $[4^{-3}].[g^{-9}].[p^{-2}].[m^{5}]$
∴ $\boxed{\frac{1}{64}g^{-9}p^{-2}m^{5}}$ or $\boxed{\frac{m^{5}}{64g^{9}p^{2}}}$

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3 years ago

How many mid-points does a segment have

snow_lady [41]

Answer:

Step-by-step explanation:

A segment has only one midpoint because there is only one point in the exact middle of a segment.

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3 years ago

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All help is appreciated! A die is rolled two separate times. What is the probability that the first roll is a 4 and then the sec

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