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nydimaria [60]
3 years ago
11

The sum of two numbers is 52 . The smaller number is 16 less than the larger number.What are the numbers?

Mathematics
2 answers:
eimsori [14]3 years ago
4 0

Answer:

This question is not as hard as it seems.

Let the first number = x.

The other number will be x - 16.

The sum of both the number is 52.

So, x+x-16 = 52

Which would simplify to 2x -16 = 52.

When I add 16 to both sides, it would give me 2x = 68.

Then, divide both sides by 2.

This leaves us with x = 34.

Since we have x, now x-16 would be 34-16 = 18.

The two numbers are 34 and 18, this answer is correct because both of them add up to give me 52.

HOPE THIS HELPS!

vodka [1.7K]3 years ago
4 0

Question

The sum of two numbers is 52 . The smaller number is 16 less than the larger number.What are the numbers?

Answer:

18 and 34


Step-by-step explanation:

[(52 - 16) : 2] + 16 =

(36 : 2) + 16 =

18 + 16 =

34

-----------------------

Check

34 - 18 = 16

34 + 18 = 52

the answer is good

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Find the equation of the directrix of the parabola x2=+/- 12y and y2=+/- 12x
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Answer:

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Step-by-step explanation:

To find the equation of directrix of the parabola, we need to identify the axis of the parabola i.e, parabola lies in x-axis or y-axis.

We have 4 parts in this question i.e.

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4ay = 12y

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The equation of the directrix of the parabola x²= 12y is y = -3

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The above equation involves x² , the axis will be y-axis

The formula used to find directrix will be: y = a

So, we need to find the value of a.

The general form of equation for y-axis parabola having negative co-efficient is:

x² = -4ay  eq(i)

and our equation in question is: x² = -12y eq(ii)

By putting value of x² of eq(i) into eq(ii) and solving:

-4ay = -12y

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Putting value of a in equation of directrix: y = a => y= 3

The equation of the directrix of the parabola x²= -12y is y = 3

For y²  = 12 x

The above equation involves y² , the axis will be x-axis

The formula used to find directrix will be: x = -a

So, we need to find the value of a.

The general form of equation for x-axis parabola having positive co-efficient is:

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and our equation in question is: y² = 12x eq(ii)

By putting value of y² of eq(i) into eq(ii) and solving:

4ax = 12x

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Putting value of a in equation of directrix: x = -a => x= -3

The equation of the directrix of the parabola y²= 12x is x = -3

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