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2 years ago

12

Which statement is true about this quadratic equation? y = x^2 – 11x+ 7

1 answer:

mihalych1998 [28]2 years ago

6 0

Answer:

I think the answer is d but I'm not 100% sure

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Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail. PLEASE

Ivan

<h3>Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail.</h3>

Answer : Because in all experiments there are several factors that can affect the result. Repeating the experiment several times can vary the factors and compensate the measurement errors. Therefore, the average of the results is calculated to find the result that is closest to the set of all the results, being more reliable than a single result of an individual experiment.

Hope this helps!

$\textit{\textbf{Spymore}}$

7 0

3 years ago

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

2 years ago

Which expression correctly represents "eight times the difference of four and a number"?

il63 [147K]

Answer:

8(4-x)

Step-by-step explanation:

You're multiplying the difference of four and a number (4-x) by eight (8). So writing as an expression would look like 8(4-x).

7 0

2 years ago

Five times sum of a number, x,and nine is ten. What is the number?

muminat

Answer:

$-7$

Step-by-step explanation:

$5(x+9) = 10$

$5x+45=10$

$5x = -35$

$x=-7$

Hope this helps.

5 0

3 years ago

Read 2 more answers

What is the area of the figure?

AysviL [449]

Answer:

C

Step-by-step explanation:

3 0

2 years ago