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3 years ago

Endpoint P(5, -3) and Q(2,4)

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

The midpoint of these two points would be (3.5, 0.5)

In order to find this, you need to take the average of the two point that you have. To do that, add the numbers together and divide by 2. Start with just the x values.

(5 + 2)/2 = 3.5

Now the y values

(-3 + 4)/2 = 0.5

This gives us the ordered pair of (3.5, 0.5)

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Solid: A square pyramid. The square base has side lengths of 5. The 4 triangular sides have a base of 5 and height of 7. What is

lina2011 [118]

Answer:

95 square units

Step-by-step explanation:

Surface area of pyramid = 4(side area) + base

Solve for the base first.

Area of base = s*s = 5*5 = 25

Next solve for one of the sides.

Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5

Plug these back into our original equation.

Surface area of pyramid = 4(side area) + base

Surface area of pyramid = 4(17.5) + 25

Surface area of pyramid = 70 + 25 = 95 square units

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3 years ago

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Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.

Sauron [17]

Answer:

Choice C: $m=\frac{1}{2}; y=\frac{1}{2} x+4$

Step-by-step explanation:

To find your slope do:

$\frac{y^2-y^1}{x^2-x^1}$

$\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}$

that's how you get 1/2

4 is just the y-int.

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2 years ago

Random Weirdos Unite, 'm bored ._.

tresset_1 [31]

Answer:

Same here.

Step-by-step explanation:

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3 years ago

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a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess

Snowcat [4.5K]

<h3>Answer: -10 and -40</h3>

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

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us $n \ge 8$

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

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Nesterboy [21]

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