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Ira Lisetskai [31]
2 years ago
10

the diagonal of a rectangle is 16 inches. if the height of the rectangle is 8 inches. what is the length of the rectangle?

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Answer:

Length: 13.9 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a = 8 and c= 16

8^2 + b^2 = 16^2

64 + b^2 = 256

b^2 = 256 - 64

b = sqrt 192

b = 13.9

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Create circle B with radius AB
8 0
3 years ago
15. Divide the polynomial x^3 + x^2 - 2x + 3 by (x - 1).​
Stels [109]

Answer:

x² + 2x + [3\x - 1]

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

1| 1 1 -2 3

↓ 1 2 0

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

1 2 0 3 → x² + 2x + [3\x - 1]

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

5 0
3 years ago
is the first one proportional or nonproportional. And is the fist one proportional or nonproportional.
vichka [17]
Nonprportional is what I would think
3 0
3 years ago
Do any of you guys know how to solve this
Alex17521 [72]
<span><span><span><span>2<span>x^3</span></span>+<span>6x</span></span>+152
</span><span>x+4</span></span><span>=<span><span><span><span>2<span>x^3</span></span>+<span>6x</span></span>+152
</span><span>x+4</span></span></span><span>=<span><span><span>2<span>(<span>x+4</span>)</span></span><span>(<span><span><span>x^2</span>−<span>4x</span></span>+19</span>)
</span></span><span>x+4</span></span></span><span>=<span><span><span>2<span>x^2</span></span>−<span>8x</span></span>+<span>38= is the answer</span></span></span>
5 0
3 years ago
6 = 1 - 8n + 5<br> an<br> Solve
lidiya [134]

Answer:

n=0

Step-by-step explanation:

simplifying

6 = 1 + -8n + 5

Reorder the terms:

6 = 1 + 5 + -8n

Combine like terms: 1 + 5 = 6

6 = 6 + -8n

Add '-6' to each side of the equation.

6 + -6 = 6 + -6 + -8n

Combine like terms: 6 + -6 = 0

0 = 6 + -6 + -8n

Combine like terms: 6 + -6 = 0

0 = 0 + -8n

0 = -8n

Solving

0 = -8n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '8n' to each side of the equation.

0 + 8n = -8n + 8n

Remove the zero:

8n = -8n + 8n

Combine like terms: -8n + 8n = 0

8n = 0

Divide each side by '8'.

n = 0

Simplifying

n = 0

7 0
2 years ago
Read 2 more answers
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