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koban [17]
3 years ago
7

Greta draws one side of equilateral △PQR on the coordinate plane at points P(−2, 2) and Q(6, 2). Which ordered pair is a possibl

e coordinate of vertex R?
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

(2,8) or (2,-8)

Step-by-step explanation:

The two points already given are 8 units apart, so the third point would have to be either 8 units upward or 8 units downward.  Now for an equilateral triangle, the x-coordinate has to be a number between the x-coordinates of the points already given, in this case, -2 and 6.  On a coordinate plane, the middle x-value is 2.  Therefore, the ordered pairs that make the most possible coordinates of vertex R are (2,8) or (2,-8) depending on whether you want the point of the triangle to face upward or for it to face downward.

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vampirchik [111]

Answer:

33 + 56 + 65 = 154

3 0
2 years ago
Round off 9.999 to the nearest 10​
dlinn [17]

Answer:

the answer is 10 you round up a nine it keeps going to the end

6 0
3 years ago
Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?
o-na [289]

Answer:

\sqrt{2} a

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression \sqrt{(x1-x2)^2+(y1-y2)^2}

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a

Thus , expression \sqrt{2} a gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

5 0
3 years ago
Read 2 more answers
It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho
Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

1h \ 14 min \ 7secs

8 0
3 years ago
What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
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