Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
Answer:
The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1.
Step-by-step explanation:
Let first consider the equations one by one and will be solving one by one ;

Multiplying both sides by y will lead ;


Now, consider the second equation which is ;

Multiplying both sides by x will yield


As LHS of both equations (i) and (ii) are same, so equating both will yield;

Multiplying both sides by 4 will yield


Dividing both sides by y will yield :

<em>Hence, the required answer is 16</em>
Answer: " 4 − 3a " .
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<u>Step-by-step explanation</u>:
" 4 − a − a − a " ;
= 4 − 1a − 1a − 1a " ;
= ? " ;
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Combine the "like terms" :
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→ " − 1a − 1a − 1a " ;
= (− 1a − 1a) − 1a ;
= ( − 2a) − 1a ;
= − 3a ;
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Now, bring down the "4" ;
and rewrite the expression:
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→ " 4 − 3a " ;
which cannot be simplified further.
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The answer is: " 4 − 3a " .
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Hope this is helpful!
Best wishes to you!
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The x-intercepts of a function are the values of the functions when y = 0.
Given the table below
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
As can be seen from the table, the y [f(x)] values are 0, when x = -4 and when x = 4.
Therefore, the x-intercepts of the continuous function are (-4, 0) and (4, 0).