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Luba_88 [7]
3 years ago
8

What times what equals 48 and adds to -16 ​

Mathematics
2 answers:
marusya05 [52]3 years ago
7 0

Answer:

x= -4 and y= -12

Step-by-step explanation:

x*y=48

x+y=-16

solve one equation for x

y=-16-x

then plug that y into the other equation

x(-16-x)=48

-16x-x^2=48

multiply by -1

x^2+16x=-48

complete the square

x^2+16x+64=-48+64

(x+8)^2=16

solve for x

x+8=sqrt(16)

x+8=4

x=4-8

x=-4

plug x back into original equation

x+y=-16

-4+y=-16

y=-16+4

y=-12

so your answers are x=-4 and y=-12

Ray Of Light [21]3 years ago
5 0

Answer:

-4 and -12

Step-by-step explanation:

For what times what equals 48:

-4(-12) = 48

-4 - 12 = -16

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Car A's fuel efficiency is 34 miles per gallon of gasoline, and car B's fuel efficiency is 23 miles per gallon of gasoline. At t
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Answer:

22 more gallons.

Step-by-step explanation:

Given:

Car A's fuel efficiency is 34 miles per gallon of gasoline.

Car B's fuel efficiency is 23 miles per gallon of gasoline.

Question asked:

At those rates, how many more gallons of gasoline would car B consume than car A on a 1,564 miles trip?

Solution:

<u>Car A's fuel efficiency is 34 miles per gallon of gasoline.</u>

<u>By unitary method:</u>

Car A can travel 34 miles in = 1 gallon

Car A can travel 1 mile in = \frac{1}{34} \ gallon

Car A can travel 1564 miles in = \frac{1}{34} \times1564=46\ gallons

<u>Car B's fuel efficiency is 23 miles per gallon of gasoline.</u>

Car B can travel 23 miles in = 1 gallon

Car B can travel 1 mile in = \frac{1}{23} \ gallon

Car B can travel 1564 mile in = \frac{1}{23} \times1564=68\ gallons

We found that for 1564 miles trip Car A consumes 46 gallons of gasoline while  Car B consumes 68 gallons of gasoline that means Car B consumes 68 - 46 = 22 gallons more gasoline than Car A.

Thus, Car B consumes 22 more gallons of gasoline than Car A consumes.

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6 0
3 years ago
In one day's work at the nursery, sale and mary together potted 74 plants. If dale planted 48 of those plants how many did mary
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Answer:

Mary potted 26 of the plants.

Step-by-step explanation:

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3 years ago
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Hoochie [10]
To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)

</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³

You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
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HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
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Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².

<h3>How to calculate the area of a regular polygon?</h3>

Mathematically, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

<u>Where:</u>

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<u>Note:</u> The apothem of a regular polygon is half the length of one side.

Therefore, Length = 2 × 2 = 4 meter.

Substituting the parameters into the formula, we have;

Area = (6 × 4 × 2)/2

Area = 48/2

Area = 24 m².

Read more on polygon here: brainly.com/question/16691874

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