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love history [14]
3 years ago
10

I really need help understanding this question! thank you!

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

\boxed{\text{6 and 7}}

Step-by-step explanation:

1. Set up the equation

        Let x = the first integer. Then

         x + 1 = the next integer

     x(x + 1) = the product of the integers

     x(x + 1) = 42

       x² + x = 42     Distributed the x

x² + x - 42 = 0

2. Solve for x

(x + 7)(x - 6) = 0            Factored the quadratic

x + 7 = 0     x - 6 = 0     Applied zero product rule

     x = -7         x = 6     Solved the binomials

We reject x = -7, because x must be positive

    x = 6

x + 1 = 7

\text{The two consecutive positive integers are \boxed{\textbf{6 and 7}}}

Check:

6(6+ 1) = 42

   6(7) = 42

     42 = 42

OK.

klasskru [66]3 years ago
4 0

n(n+1)=42\\n^2+n-42=0\\n^2-6n+7n-42=0\\n(n-6)+7(n-6)=0\\(n+7)(n-6)=0\\n=-7 \vee n=6

-7 is not positive

n=6\\n+1=7

The numbers are 6 an 7.

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To find the distance, you need to subtract the second point from the first one. So:

0 - (-9) = 9 ( two minuses turn into a positive)

And

7 - (-5) = 12

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~Luna
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Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts 
Sergeeva-Olga [200]

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

8 0
3 years ago
Whitch of the answer choices are equations ? Select all that apply.
pentagon [3]

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Step-by-step explanation:

Please give the answer choices so that I can help :)

8 0
3 years ago
I don’t understand pls help!!
mezya [45]

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

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√b² = √63  Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

3 0
3 years ago
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