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Leya [2.2K]
4 years ago
12

Find the slope of the line passing through the pair of points and describe the line as rising,falling,horizontal or vertical

Mathematics
1 answer:
Nataly_w [17]4 years ago
4 0

To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:

m = (5-1)/(4-2) = 4/2 = 2

Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.

Hope this helps!

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The net of a square pyramid is shown
Wewaii [24]

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(8)(8)

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

3 0
3 years ago
Plutonium-240 decays according to the function Q(t) = Qoe^-kt
LuckyWell [14K]

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

5 0
3 years ago
IF 24 IS ADDED TO A NUMBER, IT WILL BE 3 TIMES AS LARGE AS IT WAS ORIGINALLY. FIND THE NUMBER
Romashka [77]
x-the\ number\\\\x+24=3x\ \ \ \ \ \ |subtract\ 24\ from\ both\ sides\\\\x=3x-24\ \ \ \ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\-2x=-24\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\\boxed{x=12}\leftarrow answer
3 0
3 years ago
Select the correct answer. What is the correct expansion of the binomial (x + y)5? A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5 B.
Naily [24]
<h3>Answer:</h3>

  C.  x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

<h3>Step-by-step explanation:</h3>

Wrong terms are bolded:

A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5

B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4

C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5

The sum of exponents should always be 5.

7 0
3 years ago
Read 2 more answers
Write a calculation and a result that<br> represents a number that is 5 greater than 3.
Phantasy [73]

Answer:

x + 5 > 3

-5 -5

x < -2

3 0
3 years ago
Read 2 more answers
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