(-8,3)(-3,-4.5) what is zero of g?

A student rolled two six-sided number cubes several times. the numbers below are the sums of the numbers she rolled. Which histo

vitfil [10]

If the two given six-sided number cubes contains the typical numbers starting from 1 to 6, the sum of the numbers will most likely be in the range of 6-9. Thus, for this item, the histogram that would best represent the scenario is the second column.

8 0

3 years ago

Read 2 more answers

What type of graph is made up of two or more overlapping circles?

trapecia [35]

The overlapping diagram you’re looking for is

B. Venn diagram.

5 0

3 years ago

What is an equation of the line that passes through the points ( 3 , - 3 ) and ( - 3 - 3 )

Schach [20]

Answer:

y=0/-6x-3 or Undefined

Step-by-step explanation:

Since the slope is only a vertical line, that means the slope is going to be undefined. However, this is what the equation would look like.

Hope this helped!

5 0

3 years ago

Which number line represents the solution to the inequality 22 > 10x

S_A_V [24]

Answer:

$\large\boxed{x$

Step-by-step explanation:

$22>10x\qquad\text{divide both sides by 10}\\\\\dfrac{22}{10}>\dfrac{10x}{10}\\\\2.2>x\to\boxed{x$

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

3 0

3 years ago

Find the equation of the sphere if one of its diameters has endpoints (4, 2, -9) and (6, 6, -3) which has been normalized so tha

Pavel [41]

Answer:

$(x - 5)^2 + (y - 4)^2 + (z - 6)^2 = 14$ .

(Expand to obtain an equivalent expression for the sphere: $x^2 - 10\,x + y^2 - 8\, y + z^2 - 12\, z + 63 = 0$ )

Step-by-step explanation:

Apply the Pythagorean Theorem to find the distance between these two endpoints:

$\begin{aligned}&\text{Distance}\cr &= \sqrt{\left(x_2 - x_1\right)^2 + \left(y_2 - y_1\right)^2 + \left(z_2 - z_1\right)^2} \cr &= \sqrt{(6 - 4)^2 + (6 - 2)^2 + ((-3) - (-9))^2 \cr &= \sqrt{56}}\end{aligned}$ .

Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:

$\begin{aligned} r &= \frac{1}{2} \, \sqrt{56} \cr &= \sqrt{\left(\frac{1}{2}\right)^2 \times 56} \cr &= \sqrt{\frac{1}{4} \times 56} \cr &= \sqrt{14} \end{aligned}$ .

In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between $\left(x_1, \, y_1, \, z_1\right)$ and $\left(x_2, \, y_2, \, z_2\right)$ would be:

$\displaystyle \left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right)$ .

In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:

$\begin{aligned}&\left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right) \cr &= \left(\frac{4 + 6}{2},\, \frac{2 + 6}{2}, \, \frac{(-9) + (-3)}{2}\right) \cr &= (5,\, 4\, -6)\end{aligned}$ .