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Gekata [30.6K]
2 years ago
9

A line’s equation is given in point-slope form:

Mathematics
1 answer:
Veronika [31]2 years ago
8 0

Answer:

Slope: -3, apparent point: (-1, -2)

Step-by-step explanation:

Point-slope form means the equation of a line is given in the form of y - y1 = m(x - x1), where x1 and y1 are coordinates of a point that lies on the line and m is its slope. Keeping this in mind while looking at the given equation, you can see that -3 is where m goes, meaning the slope is -3. You can also see that 1 and 2 are in the places where - x1 and - y1 go (don't forget those minus signs!) so you take those two and make them an ordered pair for your apparent point of (-1, -2).

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What is the value of the expression 8p4: 32, 1680,40,296,40,320
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Answer:

1680

Step-by-step explanation:

nPr = n!/(n-r)!

Therefore;

8P4 = 8!/(8-4)!

we get;

    = 8!/4!

    = (8×7×6×5×4×3×2×1)/(4×3×2×1)

    = 40,320/ 24

    = 1680

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Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?
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Helen is 16 and Jane is 8
3 0
3 years ago
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Is 3/4 greater than 7/8?
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7/8.

Is 3/4 greater than 7/8? 
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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit
Musya8 [376]

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

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  • l = length of one side
  • a = apothem

Given:

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  • l = 13
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Substitute the given values into the formula and solve for A:

\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}

\implies \textsf{Area}=\sf \dfrac{1631.76}{2}

\implies \textsf{Area}=\sf 815.88\:\:square \:units

<u>Area of the square</u>

\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units

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= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

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2 years ago
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