Answer:
THE ANSWER WOULD BE TRUE MY FRIEND
Adding 15 to both sides. In order to get it to the opposite side of the equal sign, you must do its opposite. You can't add 8x to both sides, because the opposite of positive 8x is negative 8x and that's not what they're asking. The opposite of negative 15 is positive 15, so it works. Opposite of positive 3 is negative three, and they're wanting a positive, so it will not work. Adding 2x wouldn't work, because it's already positive..
Answer:
The area of the floor of the shed is <u>1500 square feet.</u>
Step-by-step explanation:
Given:
The vertices of the floor of a shed are: (20,80), (50,60), (50,20) and (20,20)
Let us plot the given vertices on a graph.
From the graph, it is clear that the given figure is a trapezium with opposite parallel sides being parallel to the y axis. The height of the trapezium is the side that is parallel to x axis.
The area of the trapezium ABCD is given as:

From the graph, AB = 60 ft, CD = 40 ft, AD = 30 ft
Therefore, the area is given as:

Therefore, the area of the floor of the shed is 1500 square feet.
I hope this is correct
Simplifying (2x + -1)(x + -3) = 18 Reorder the terms: (-1 + 2x)(x + -3) = 18 Reorder the terms: (-1 + 2x)(-3 + x) = 18 Multiply (-1 + 2x) * (-3 + x) (-1(-3 + x) + 2x * (-3 + x)) = 18 ((-3 * -1 + x * -1) + 2x * (-3 + x)) = 18 ((3 + -1x) + 2x * (-3 + x)) = 18 (3 + -1x + (-3 * 2x + x * 2x)) = 18 (3 + -1x + (-6x + 2x2)) = 18 Combine like terms: -1x + -6x = -7x (3 + -7x + 2x2) = 18 Solving 3 + -7x + 2x2 = 18 Solving for variable 'x'. Reorder the terms: 3 + -18 + -7x + 2x2 = 18 + -18 Combine like terms: 3 + -18 = -15 -15 + -7x + 2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -15 + -7x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(5 + -1x) = 0
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:

Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
- densidad del agua= 1000

- volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³
Reemplazando:
masa= 1000
* 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>
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