Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate. x2 + 4x + 8y + 36 =

Mathematics

1 answer:

Tatiana [17]3 years ago

5 0

The equations standered form is y=-x^2/8-x/2-9/2

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A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the ar

ivanzaharov [21]

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

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3 years ago

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John leaves school to go home.his bus drives 6 kilometers north and then goes 7 kilometers west.how far is John's house from the

otez555 [7]

Answer:

John is 9.21 km form the school.

Step-by-step explanation:

John leaves school to go home. His bus drives 6 kilometres north and then goes 7 kilometres west. It is required to find John's distance from the school. It is equal to the shortest path covered or its displacement. So,

$d=\sqrt{6^2+7^2} \\\\d=9.21\ km$

So, John is 9.21 km form the school.

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3 years ago

If the formula pictured below is used to find the mean of the following sample, what is the value of N?

Pie

Answer:

Choice D). 8

Step-by-step explanation:

The value on n is simply the number of values or the size of the sample data. In our case, we have a total of 8 data values. The value of n will thus be 8

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3 years ago

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prove that the quadrilateral whose vertices are the points A(-1,1), B(-3,4), C(1,5) and D(3,2) is a parallelogram.

Vsevolod [243]

Answer:

Since $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ , then the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then $\overrightarrow{AB} = \overrightarrow{DC}$ and $\overrightarrow{AD} = \overrightarrow{BC}$ . If we know that $A(x,y) =(-1, 1)$ , $B(x,y) =(-3,4)$ , $C(x,y) = (1,5)$ and $D(x,y) = (3,2)$ , then the measure of each vector is, respectively: