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Nikitich [7]
2 years ago
11

Find the distance between C(5,-6) and D(5,6)

Mathematics
2 answers:
Scilla [17]2 years ago
6 0

Answer:

the distance is 12 units

Step-by-step explanation:

5 and 5 are the same so we don't use those digits,

-6 and 6 are different so we use them

since - 6 and 6 are both in different quadrants we take the absolute value of both of them and add,

|-6| + |6| = |6| + |6| = 12,

therefore the distance between C: (5,-6) and D: (5,6) is 12 units. hope i helped you (and could i have brainliest if possible?)

satela [25.4K]2 years ago
4 0
<h3>Answer:   Distance = 12 units</h3>

===========================================================

Explanation:

The x coordinates are the same (both are 5), so we just focus on the y coordinates.

The y coordinates are y = -6 and y = 6. Subtract the two values and apply absolute value to find the distance. Let's say A = -6 and B = 6.

|A-B| = |-6-6| = |-12| = 12

or we could say

|B-A| = |6-(-6)| = |6+6| = |12| = 12

Either way, we get the same answer. The order of subtraction doesn't matter if we apply absolute value.

On a graph, plotting the two points (5,-6) and (5,6) will show that there's 12 units of space between them.

--------------

If you wanted, you could apply the distance formula like so:

(x1,y1) = (5,-6)

(x2,y2) = (5,6)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-5)^2 + (-6-6)^2}\\\\d = \sqrt{(0)^2 + (-12)^2}\\\\d = \sqrt{0 + 144}\\\\d = \sqrt{144}\\\\d = 12\\\\

Though in my opinion, I think the distance formula is overkill for this situation.

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Find the midpoint of the segment with the given endpoints. ​ (9​,9​) and ​(6​,8​)
mars1129 [50]

<u>Answer:</u>

The mid-point is (7.5, 8.5).

<u>Step-by-step explanation:</u>

We are given two points (9​,9​) and ​(6​,8​) as the endpoints for a line segment and we are to find the midpoint of this segment.

We know that the formula for finding the mid point is:

<em>Mid point = (\frac {x_1 + x_1 }{ 2 } ,\frac { y_1 + y_2} {2} )</em>

So substituting the given values of the coordinates of the endpoints in the above formula to get:

= (\frac {9 + 6}{2} , \frac {9 + 8}{2} )

= (\frac {15}{2} , \frac {17} {2} )

=(7.5, 8.5)

Therefore, the mid-point is (7.5, 8.5).

4 0
3 years ago
Read 2 more answers
Four more than twice a number<br><br>a.2x+4<br><br><br>b.4x+2<br><br>c.6x<br><br>d.2x &gt; 4​
makkiz [27]

Answer:

a. 2x + 4

Step-by-step explanation:

Four more than twice a number

Let x = unknown number

Four more than twice of x

Twice of x can be written as 2x

Four more than 2x

Four more can be written as + 4

We get 2x + 4

6 0
2 years ago
Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and
Lemur [1.5K]

Answer:

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates (x_A,y_A)

Vectors AB and AB' are perpendicular, then

\overrightarrow {AB}=(2-x_A,6-y_A)\\ \\\overrightarrow {AB'}=(-2-x_A,2-y_A)\\ \\\overrightarrow {AB}\perp\overrightarrow {AB'}\Rightarrow \overrightarrow {AB}\cdot \overrightarrow {AB'}=0\Rightarrow (2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0

Vectors AC and AC' are perpendicular, then

\overrightarrow {AC}=(4-x_A,3-y_A)\\ \\\overrightarrow {AC'}=(1-x_A,4-y_A)\\ \\\overrightarrow {AC}\perp\overrightarrow {AC'}\Rightarrow \overrightarrow {AC}\cdot \overrightarrow {AC'}=0\Rightarrow (4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0

Now, solve the system of two equations:

\left\{\begin{array}{l}(2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0\\ \\(4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0\end{array}\right.\\ \\\left\{\begin{array}{l}-4-2x_A+2x_A+x_A^2+12-6y_A-2y_A+y^2_A=0\\ \\4-4x_A-x_A+x_A^2+12-3y_A-4y_A+y_A^2=0\end{array}\right.\\ \\\left\{\begin{array}{l}x_A^2+y_A^2-8y_A+8=0\\ \\x_A^2+y_A^2-5x_A-7y_A+16=0\end{array}\right.

Subtract these two equations:

5x_A-y_A-8=0\Rightarrow y_A=5x_A-8

Substitute it into the first equation:

x_A^2+(5x_A-8)^2-8(5x_A-8)+8=0\\ \\x_A^2+25x_A^2-80x_A+64-40x_A+64+8=0\\ \\26x_A^2-120x_A+136=0\\ \\13x_A^2-60x_A+68=0\\ \\D=(-60)^2-4\cdot 13\cdot 68=3600-3536=64\\ \\x_{A_{1,2}}=\dfrac{60\pm8}{2\cdot 13}=\dfrac{34}{13},2

Then

y_{A_{1,2}}=5\cdot \dfrac{34}{13}-8 \text{ or } 5\cdot 2-8\\ \\=\dfrac{66}{13}\text{ or } 2

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

8 0
3 years ago
A coin is tossed then a number 1-10 is chosen at random what is the probability of getting heads then a number less than 4
Darya [45]
The probability of getting heads on a coin toss is 0.5
The probability of choosing a number <u>less</u> than four is 3/10 (1,2,3)

Therefore, the probability of getting heads <u>and</u> choosing a number less than four is:
=  \frac{1}{2} (\frac{3}{10}) = \frac{3}{20} = 0.15

Hope this helps!
3 0
3 years ago
Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate?
natka813 [3]
The rate Ritz can eat apples is 8/15 apples per minute.

Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

16*15 = 8t

t = 20

The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
5 0
3 years ago
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