12 for the first one, 6*4=24 24 divided by 2
After staring at this for a few seconds, I think the equation
![-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}](https://tex.z-dn.net/?f=-5%5Csqrt%7B10%7D%5Ccdot%5Csqrt%7B15%7D%3D%5B1%5D%5Csqrt%7B%5B2%5D%7D)
is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.
Notice that
Then multiplying by -5, we have
so I believe [1] = -25, and [2] = 6.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
<h3>How many children went to the movie theatre?</h3>
In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.
We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:
x - 4 · y = 0 (1)
6.30 · x + 9.50 · y = 1063.20 (2)
By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
To learn on systems of linear equations: brainly.com/question/27664510
#SPJ1
A(−2, 6) ⇒⇒⇒ <span>A′(1, 6)
</span>B(2, 6) ⇒⇒⇒ <span>B′(5, 6)
</span>C(2, 4) ⇒⇒⇒ <span>C′(5, 4)
</span>D(−2, 4) ⇒⇒⇒ D′(1, 4)
By comparing the coordinates of points and its images we can deduce the rule of the transformation which is :
(x , y ) ⇒⇒⇒ ( x + 3 , y )
So, the <span>rectangle is transformed 3 units to the right.</span>
