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VLD [36.1K]
3 years ago
8

Factorize : 16-(x-3)2​

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

( 1 + x) ( 7 - x)

Step-by-step explanation:

Here's what I did

16 - ( x - 3)^2....expand this

16 - (x² + 6x + 9).....after exanding

16 - 9 + 6x - x²......like terms together

7 + 6x - x² ......rearrange

-x² + 6x + 7......look for the product, sum and factors

( 1 + x) ( 7 - x)

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Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span> 
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
3 years ago
Read 2 more answers
My question got deleted so I'll post these into two separate
Agata [3.3K]

Answer:

see below

Step-by-step explanation:

1 million

1,000,000 seconds * 1 hour/ 3600 seconds * 1 day/ 24 hours * 1 year / 365 days

.031709792 years

Rounding to 3 decimal places

.032 years

50 years * 365 days/ 1 year * 24 hours/ 1 day * 3600 second / 1 hour    

1577000000 seconds    

46 inches * 1 ft/ 12 inches *  1 mile/5280 ft

0.000726 miles

8 0
3 years ago
Which of the following is the solution to |x|-5&lt;= -13?
kow [346]

Answer:

drishyam 2 train to bysan

Step-by-step explanation:

7 0
2 years ago
Bucket A has 5 1/2 gallons of water, but is draining at a rate of 3/4 gallons per hour. Bucket B has 2 1/4 gallons of water, but
Ivenika [448]

Answer:

9/0

Step-by-step explanation:

6 0
3 years ago
What is the average rate of change for this quadratic function for the interval
Bad White [126]
Answers are C/A your welcome

☁︎☁︎☁︎☁︎☁︎☁︎☁︎☂︎☁︎

explanation: okay so first you and then after you alone d so then you wil get 73 is s no and it’ll aid so it’s also one okay and then after you do all of that you will have to see oman kama ken shi and that is how you get the answer
8 0
2 years ago
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