9514 1404 393
Answer:
y = x^2 +10x -9
Step-by-step explanation:
Quadratic regression generally requires the use of "technology" to aid in finding the equation of the curve of best fit. Use the technology you've been introduced to.
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When only a few data points are provided, I prefer to use the Desmos graphing calculator. It shows the equation to be ...
y = x^2 +10x -9
Answer:
504 kilos de manzanas fueron llevados a la escuela.
Step-by-step explanation:
Sean ,
la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:
Total de cajas
(1)
Masa de cada caja de peras
(2)
(3)
Masa de caja de manzanas
(4)
De (2) en (3), tenemos que la masa de cada caja de peras es:
Por (4), encontramos que la masa de cada caja de manzanas es:
Finalmente, de (1) tenemos la cantidad de cajas de manzana:
La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:
504 kilos de manzanas fueron llevados a la escuela.
Answer:
The correct option is A.
Step-by-step explanation:
It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.
According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.
Let QRST be an parallelogram and QS=RT.
In triangles QRT and RQS.
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle R and angle Q are 90 degree.
Similarly in triangle QST and RTS,
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QST and RTS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle S and angle T are 90 degree.
Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.
