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Savatey [412]
3 years ago
12

The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to

determine which figure has 56 blocks.
Mathematics
2 answers:
elena55 [62]3 years ago
7 0
This is an equation that is quadratic in form. so to solve th given equation we must first factor it:
n2 + n = 56n2 + n - 56 = 0( n - 7 ) ( n + 8 ) = 0equate to zeron - 7 = 0n = 7andn + 8 = 0n = - 8
so the 7th figure has 56 blocks because there are no negative nth figure
Brrunno [24]3 years ago
3 0

We have to solve this quadratic equation n^{2}+n=56 for n to get <em>which figure has 56 blocks</em>.

n^{2}+n=56\\n^{2}+n-56=0

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

<em>n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7</em>

<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.


ANSWER: The 7th figure has 56 blocks.


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300 parking spaces

Multiply the rows by the spaces in each row. 20 x 15 = 300

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Let measure angle A equal 40. If angle B complement of angle A, and angle C is a supplemlement of angle B find these measures
uranmaximum [27]
Two angles are complementary when they add up to 90 degrees<span> 
m</span>∠B = 90° - m∠A = 90° - 40° = 50°

Two angles are supplementary when they add up to 180 degrees 
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The product of 3 and a number increased by 6 is -24
padilas [110]

3(x+6)=-24 Divide both sides by 3 3(x+6)/3=-24/3 X+6=-8 X=-14

6 0
3 years ago
Help please ! Please
gizmo_the_mogwai [7]

Answer:

15, 8, 25 The teacher payed 0.40 per book.

Step-by-step explanation:

4/10 = 2/5 Simplify the 4/10 to find the unit rate.

15: 2/5 = 6/x Set up your proportion.

    2x   =30 Cross multiply

    /2      /2 Divide both sides by 2 to isolate x

     x     =15

8: 2/5 = x/20 Set up proportion

   40  =5x Cross multiply

    /5     /5 Divide both sides by 5 to isolate x

     8  =x

25: 2/5 = 10/x Set up proportion

      2x  =50 Cross multiply

       /2     /2 Divide both sides by 2 to isolate x

        x   =25

Graph: y=mx+b To graph, you will need to use y=mx+b format

           y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.

The teacher payed 0.40 per book because 2/5 simplifies to 0.40.

   

8 0
2 years ago
(8 pts)
Elan Coil [88]

Answer:

{x,y,z} = {-22/13,29/13,6/13} 

7 0
2 years ago
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