Since you are finding the area, i think, I'm pretty sure but anyway do 9 × 6. and your are should be 54 ft
Add each term and divide it by 2.
5+7 = 12
12/2 = 6
-2 + 6 = 4
4/2 = 2, then add the i back on to get 2i.
The midpoint is 6 + 2i
The table of solutions for the given equation (y = -2x²) include the following:
<u>x y_</u>
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.
<h3>How to determine the solution?</h3>
In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;
At x = -2, the value of point y is as follows:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
At x = -1, the value of point y is as follows:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
At x = 0, the value of point y is as follows:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
At x = 1, the value of point y is as follows:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
At x = 2, the value of point y is as follows:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.
Read more on graphs here: brainly.com/question/4546414
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Answer:
The equation of the line is:
Step-by-step explanation:
Given the points
Finding the slope between the points
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-5%2C%5C%3A8%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-1%2C%5C%3A9%5Cright%29)
![m=\frac{9-8}{-1-\left(-5\right)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9-8%7D%7B-1-%5Cleft%28-5%5Cright%29%7D)
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
Using the point-slope form of the line equation
![y-y_1=m\left(x-x_1\right)](https://tex.z-dn.net/?f=y-y_1%3Dm%5Cleft%28x-x_1%5Cright%29)
substituting the values m = 1/4 and the point (-5, 8)
![y-8=\frac{1}{4}\left(x-\left(-5\right)\right)](https://tex.z-dn.net/?f=y-8%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x-%5Cleft%28-5%5Cright%29%5Cright%29)
![y-8=\frac{1}{4}\left(x+5\right)](https://tex.z-dn.net/?f=y-8%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x%2B5%5Cright%29)
Add 8 to both sides
![y-8+8=\frac{1}{4}\left(x+5\right)+8](https://tex.z-dn.net/?f=y-8%2B8%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x%2B5%5Cright%29%2B8)
![y=\frac{1}{4}x+\frac{37}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B37%7D%7B4%7D)
Thus, the equation of the line is:
Answer:
a)
, b)
, c)
, d)
, e)
, f)
.
Step-by-step explanation:
a) Sea
la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es
.
b) Sea
el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es
.
c) Sea
el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es
.
d) Sea
el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es
.
e) Sea
la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es
.
f) Sea
la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es
.