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solmaris [256]
3 years ago
6

Find the slope of the line passing through each of the following pairs of points.

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Look carefully at the first pair:  (−3, 9), (−3, −5)  Note that x does not change, tho' y does.  This is how we recognize a vertical line (whose slope is undefined).  The equation of this vertical line is x = -3.

Looking at the second pair:  from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

Third pair:  as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis).  The slope is undefined.

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Select the system of linear equations that has the solution (-6, 0).
xxTIMURxx [149]

Answer:

B.

• x+2y=-6

• x-2y=-6

Step-by-step explanation:

Try the solution in the equations and choose the set of equations that is true.

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A. -6+0 ≠ 0 . . . not this system

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B. -6 +2·0 = -6 . . . true

-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)

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C. -6 -6·0 ≠ 1 . . . not this system

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D. 4(-6)+3·0 ≠ -18 . . . not this system

3 0
3 years ago
PLEASEEE HELP !!
miss Akunina [59]

Answer: b+95+34=180, b+129=180, 51

Step-by-step explanation:

b+95+34=180 works because the angles add to form a straight angle.

From this, we can obtain b+129=180 by adding the two constants.

Subtracting 129 from both sides, we get b=51.

6 0
2 years ago
Expand the polynomial:<br> (5a+1/5 b)^2
WINSTONCH [101]
Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer:  25 a^2 + a b + b a + (b^2/5)/5
3 0
3 years ago
Read 2 more answers
If the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?
Troyanec [42]

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ)

P(\triangle ABC) = \frac{1}{2} \times 56

P(\triangle ABC) = 28\: cm

6 0
2 years ago
A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists
yuradex [85]

Answer:

1/80

Step-by-step explanation:

7 0
3 years ago
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