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Basile [38]
2 years ago
5

n a coordinate grid, Jeff’s house is located at point (2, 6) and Vicki’s house is located at a point ( 2, 12). Chloe’s house is

halfway between Jeff’s house and Vicki’s house. On the coordinate grid, where is Chloe’s house located?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0
Chloe’s house is located at (2,9)
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Complete the square to solve the equation below x2+2x-9=15
Ilia_Sergeevich [38]
A. x = -1; x = 3
B. x = 5; x = -4
C. x = -1; x = 4
D. x = -6; x = 4

: Hope this helps :)
7 0
3 years ago
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.
Sonja [21]
<h3>Answer:  Rhombus</h3>

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

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\

Segment AB is exactly \sqrt{17} units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

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

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2)  = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\

Segment AB has a slope of 1/4.

Do the same for BC

B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2)  = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0
2 years ago
Read 2 more answers
Help: (picture below)
Aleks04 [339]

The length of a pendulum that makes one full swing in 1.9 s is about 2.926 which is about 3ft when rounded to the nearest foot

7 0
3 years ago
The line plot shows the number of points scored by Josh in his basketball games. How many games did Josh score less than four po
-Dominant- [34]

Answer:

Step-by-step explanation:

5 0
3 years ago
Evaluate the following expression when x = 3 and y = 4:
JulijaS [17]
I don't understand.  What are the values given?  Are they values of an x,y plot?
If you plot them they are a straight line with y =6x - 2.9  but I don't know what you mean by when x=3 and y = 4?

5 0
3 years ago
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