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Eduardwww [97]
3 years ago
6

Oscar drew the image of a

Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

When we have a point (x, y) and we do a reflection over a given line, we know that the new point (x', y') will be at the same distance from the line as our initial point (x,y).

Now, in this case, we have a reflection over the line y = -1. (this line is parallel to the x-axis)

But in the image, we can see that the reflected triangle is drawn in the other side of the y-axis, this means that the reflection was made in a line parallel to the y-axis.

Then the mistake that Oscar did is that he reflected over the wrong line, seems that he reflected the triangle over the line x = -1 instead of the line y = -1.

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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​
Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

log(x + y) = log3 +  \frac{1}{2} logx+  \frac{1}{2} logy \\  \\ log(x + y) = log3 +    logx ^{\frac{1}{2}} +   logy ^{\frac{1}{2}}\\  \\  log(x + y) = log3 +    log(xy) ^{\frac{1}{2}} \\  \\ log(x + y) =  log[3(xy) ^{\frac{1}{2}}] \\  \\ x + y = 3(xy) ^{\frac{1}{2}} \\  \\ squaring \: both \: sides \\  {(x + y)}^{2}  =  \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2}  \\  \\  {x}^{2}  +  {y}^{2}  + 2xy = 9xy \\  \\  {x}^{2}  +  {y}^{2}  = 9xy - 2xy \\  \\   \purple{ \bold{{x}^{2}  +  {y}^{2}  = 7xy}} \\ thus \: proved

7 0
3 years ago
Read 2 more answers
Which two numbers add up to ___ and multiply to ___?
Assoli18 [71]
<span>1. multiply to -18 add to -17 = Multiplying -18 and 1 will give -18 as the result and then on adding -18 and + 1 the result comes to -17
</span><span>2. multiply to 36 add to -13 = Multiplying -9 and -4 will give -36 as the result and then on adding -9 and -4 the result comes to -13
</span><span>3. multiply to -24 add to -5<span>= </span></span><span>Multiplying -8 and +3 will give -24 as the result and then on adding -8 and +3 the result comes to -5
4. multiply to -18 add to 7= </span><span>Multiplying +9 and -2 will give -18 as the result and then on adding +9 and -2 the result comes to 7
5. multiply to -36 add to 9= </span><span><span>Multiplying +12 and -3 will give -36 as the result and then on adding +12 and -3 the result comes to 9
</span> 6. multiply to 24 add to 10= </span><span><span>Multiplying +6 and +4 will give 24 as the result and then on adding +6 and +4 the result comes to 10
</span> 7. multiply to 18 add to -9= </span><span><span><span>Multiplying -6 and -3 will give -18 as the result and then on adding -6 and -3 the result comes to -9
</span> 8. multiply to -36 add to -16</span>= </span><span>Multiplying -18 and +2 will give -36 as the result and then on adding -18 and +2 the result comes to -16</span>








3 0
3 years ago
Can someone help me with my 04.05 Graphing Exponential Functions assignment
True [87]

Answer:

what is the questions

Step-by-step explanation:

4 0
3 years ago
I need help with what is 0.09 1/10th of? I would like some one to tell me how I calculate this so I may use it for future math p
Gemiola [76]
One tenth of 90. Because regular 9 is one tenth of 90, so decimal 9 is one tenth of decimal 90. Hope you understand ha ha ^_^ 
5 0
3 years ago
The number of bacteria on a piece of toast triples every
Illusion [34]

Answer:

You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.

Next hour, it triples again so you now have 1 x 3 x 3=9

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer

6 0
3 years ago
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