Answer:
The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let , if this linear system has infinitely many solutions, then the following conditions must be met:
and .
and
The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.
Answer:
a) scale factor = 1.5
b) d length is 7.5
c) Area scale factor is 2.25
Step-by-step explanation:
Given QR =6
And ST =9
Length Scalar factor = enlarged length /previous length
=9/6
=1.5
Length Scalar factor =1.5
b)we know PS enlarged length of PQ
Length scale factor = PS/PQ
1.5 =PS/5
PS =5×1.5
PS =d =7.5
d length is 7.5
c)Formula :
Area scale factor = (length scale factor)2
=(1.5)2
=2.25
Area scale factor is 2.25
Answer: (4a+3b)(a−b)
Step-by-step explanation:
Factor by grouping
The positive square roots of the number 151,321 according to the task content can be determined by means of division as; 389.
<h3>What are the square roots of 151,321 by means of division method?</h3>
It follows from.the task content above that the number given is; 151,321 whose positive square roots is to be determined.
Upon testing different integers as divisor on the number 151,321; it is concluded that the only positive integer by which 151,321 can be divided to result in a whole is; 389.
Hence, the positive square root of the number 151,321 is; 389.
Consequently, it can be concluded that the positive square root of the number, 151,321 as in the task content is; 389 which is itself a prime number as it is only divisible by 1 and itself.
Read more on square root of numbers;
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Answer:
Luis incurred 107 extra text messages.
Step-by-step explanation:
Giving the following information:
Luis's cell phone plan costs $39 per month. Text messages cost an additional $0.15 each.
<u>To calculate the number of text messages, we need to use the following formula:</u>
Total cost= 39 + 0.15x
x= number of text messages
55.05= 39 + 0.15x
16.05= 0.15x
107= x
Luis incurred 107 extra text messages.