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Mandarinka [93]
3 years ago
15

How many 2 digit whole numbers are increased by 18 when they're digits are reversed

Mathematics
1 answer:
Anika [276]3 years ago
8 0

This can be calculated easily.

As any two digit number can be written in the following form:

N= 10x +y

If we reverse the number now, it would become:

N' = 10y + x

So if we subtract one from the other, we should obtain 18 ( as mentioned in the question ).

N-N'= 18

=> x-y = 2

Thus, any number whose digits differ by two would be an aswer to the question.

The only numbers which satisfy this are : 13,24,35,46,57,68,79

But this would not be true for any 3 or more digit number.

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In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Write a quadratic function f whose only zeros are -3 and -12
emmasim [6.3K]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

3 0
2 years ago
A golf retailer purchases its clubs from a wholesaler at $43 per club. It sells the same clubs to golfers at $70 per club. What
Georgia [21]

Answer:

62.79%

Step-by-step explanation:

70-43 = 27

X/100 = 27/43

(27 * 100)/43

= 62.79%

6 0
3 years ago
PLEASE HELP! ITS DUE SOON! QUESTION IN PICTURE BELOW! PLEASE HELP!
Neporo4naja [7]

Answer:

d

Step-by-step explanation:

I took the test. Hope I could help!

3 0
2 years ago
What is the answer of -32/40 + -35/40 ?
Alex787 [66]
-32/40 + -35/40 = -32+-35/40
= -67/40
= -1.675

The answer would then be -1.675.
3 0
3 years ago
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