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olga2289 [7]
3 years ago
15

The sum of two consecutive integers is 62. what are the two consecutive integers?

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:  So our two integers are 17 and 45.

Step-by-step explanation:

The two integers are 17 and 45, See how we got it. X+Y=62. Substitute our first expression here for y, we have X+2X+11 =62.

You might be interested in
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).
erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

8 0
3 years ago
How do i solve x/2+1/3=x/3+1/2
stepladder [879]
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

8 0
3 years ago
Read 2 more answers
A line passes through point (-6,-5) and has a slope of -3/2 <br><br> write in Ax+by=c
Evgesh-ka [11]

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

7 0
3 years ago
There are 8 marbles in a bag, all of different colors. In how many orders can 4 marbles be chosen? In other words, what is the
Ratling [72]

I got 70

Combination=n!/((n-r)!r!)

=8!/((8-4)!*4!)

=8*7*6*5*4!/(4!*4!)

=8*7*6*5/(4*3*2)

=70 ways

3 0
3 years ago
Read 2 more answers
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