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2 years ago

A right angle intersex line at point M. which statement is true about angles one and two?

Mathematics

1 answer:

Gekata [30.6K]2 years ago

5 0

Answer:

It's actually A

Step-by-step explanation:

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Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago

A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How mu

Nostrana [21]

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

$v= \pi r^2 h$

substitute our data

$v= 3.142*5^2*8\\\\v=628.4in^3$

The volume of the ball

$v=4/3 \pi r^3$

substitute our data

$v= 4/3 *3.142*5^3\\\\v= 523.7 in^3$

The space will have a volume of

=628.4-523.7

=104.7 in^3

7 0

2 years ago

What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?

Alexeev081 [22]

First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24 Add 2x to both sides
4y = 2x + 24 Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!

Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6 Subtract 6 from both sides
-6 = (1/2) x Multiply both sides by 2
-12 = x
The x intercept is -12

In Conlusion:
x-intercept = -12
y- intercept = 6

6 0

3 years ago

Read 2 more answers

Y=x^2-2 Input output X Y 1 4 8 10

Nuetrik [128]

Answer: -1, 14, 62, 98

Step-by-step explanation:

Plug each x-value into the equation and solve for y

$\begin{array}{c|l||c}\underline{\quad x\quad}&\underline{x^2-2}&\underline{=\ y}\\1&1^2-2&=-1\\4&4^2-2&=14\\8&8^2-2&=62\\10&10^2-2&=98\end{array}$