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never [62]
3 years ago
15

What is the slope of the line that contains the points (-2, 1) and (0, -3)?

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

the answer is c. -2

to find slope you do

y2-y1/x2-x1

in this case it’s

-3-1/0- -2

which simplifies to

-4/2 = -2

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A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
kompoz [17]

Answer:

a. (-3, 2).

b.  √65

c.  (x + 3)^2 + (y - 2)^2 = 65

Step-by-step explanation:

a.  The center is the midpoint  of the diameter PQ.

= (-10+4)/2, (-2+6)/2

= (-3, 2).

b. The radius is the distance from the center to a point on the circle.

Take the point (4, 6):

The radius = √((-3-4)^2 + (2-6)^2)

= √65.

c.  The equation of the circle is:

Using the standard form

(x - h)^2 + (y - k)^2 = r^2  where  (h, k) is the center and r = the radius:

it is (x - (-3)^2 + (y - 2) = 65

= (x + 3)^2 + (y - 2)^2 = 65.

4 0
3 years ago
Read 2 more answers
The atom is the basic unit in chemistry. An atom contains neutrons, protons, and electrons. Neutrons are neutral, protons have a
erastovalidia [21]

Answer:

C

Step-by-step explanation:

A positive charged ion or cation would have more protons than electrons.

4 0
3 years ago
Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)​
lapo4ka [179]

Answer:

-9df^3 - 3f^3 - 7d^2 - 8d - 15625

Step-by-step explanation:

8 0
3 years ago
Three pencils cost 75p altogether. how much will it cost to buy 6 pencils?
Svetllana [295]
The cost for six pencils would be a total of 150p
The reason why is if three pencils cost 75p and you want to know what the cost of six, since three is half of six you would do this (if 3=75p then 3*2=75p*2 which is 6=150p). As shown, you multiply each side by 2 or double each side
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3 years ago
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A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a
erastovalidia [21]

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

8 0
2 years ago
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