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3 years ago

Two consecutive negative integers have a product of 30. what are the integers?

Mathematics

2 answers:

kolezko [41]3 years ago

5 0

Answer:

We have two sets of numbers

-6,-5 5,6

Step-by-step explanation:

Consecutive integers are next to each other

x, x+1

Product means multiply

x(x+1) = 30

Distribute

x^2 +x=30

Subtract 30 from each side

x^2 +x-30 = 30-30

x^2+x-30 =0

Factor

What 2 numbers multiply to give us -30 and add to 1

6 * -5 = -30

6-5 = -1

(x+6) (x-5) = 0

Using the zero product property

x+6=0 x-5=0

x=-6 x=5

x+1 is the next number

-6,-5 5,6

We have two sets of numbers

-6,-5 5,6

kupik [55]3 years ago

3 0

Answer:

The two numbers are -4 and -5.

Step-by-step explanation:

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Let v = 3i + 2j and w = 2i + 3j. Sketch v, w, v + w, 2w, and v − w in the plane

Nimfa-mama [501]

Answer:

Step-by-step explanation:

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3 years ago

The distance from Earth to the sun is about 9.3 × 10 7th power miles.

AURORKA [14]

Answer:

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

Solution:

Given, the distance from Earth to the sun is about $9.3 \times 10^{7} \mathrm{miles}$

The distance from Earth to the Moon is about $2.4 \times 10^{5} \mathrm{miles}$

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

$\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5$