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vovikov84 [41]
3 years ago
15

a positive real number is 2 less than another when 4 times the larger is added to the square of the smaller the result is 49 fin

d the numbers
Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

  • 3√5 ≈ 6.7082
  • 3√5 -2 ≈ 4.7082

Step-by-step explanation:

Let x represent the larger number. Then x-2 is the smaller one. The sum is ...

  4x + (x-2)^2 = 49

  x^2 + 4 = 49 . . . . . simplify

  x^2 = 45 . . . . . . . . subtract 4

  x = √45 = 3√5 . . . . take the square root

The larger number is 3√5, and the smaller number is 2 less, 3√5 -2.

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0.2 is closest to zero
4 0
3 years ago
If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
jarptica [38.1K]

Answer:

400 cm squared

Step-by-step explanation:

Since a square has all equal sides, this would mean the the all the other sides are 20 as well. To get the area, you would just multiply 20 by 20 to get 400. :)

6 0
3 years ago
Read 2 more answers
A given line has the equation 10x+2y=-2.
Iteru [2.4K]

The equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are parallel then their slopes are equal.

We have the following line:

10x + 2y = -2\\2y = -10x-2\\y = -5x-1

Thus, the slope of the line is -5.

Therefore a parallel line is of the form:

y = -5x + b

We replace the point (0,12)

12 = -5 (0) + b\\12 = b

Finally, the equation is of the form:

y = -5x + 12

Answer:

5x + y = 12

8 0
3 years ago
Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes
Vadim26 [7]

Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.

8 0
2 years ago
Two numbers have theses properties . both numbers are greater than 6 . their hcf = 6 . their lcm = 60. what are the two numbers
aleksandrvk [35]
Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)
6 0
3 years ago
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