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Nikolay [14]
3 years ago
15

Parallelogram ABCD has diagonal segments AC and BD that intersect at E. if BE is ( x + 8) and ED is (5 x), find the length of BD

.
Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

BD = 20 units

Step-by-step explanation:

Given that,

Parallelogram ABCD has diagonal segments AC and BD that intersect at E.

BE = (x+8) and ED = 5x

We need to find the length of BD.

BD = BE + ED ...(1)

We know that the diagonals of a parallelogram bisects each other. It means,

BE = ED

x+8 = 5x

8 = 5x - x

8 = 4x

x = 2

BE = (x+8)

= (2+8)

= 10

ED = 5x

= 5(2)

= 10

Put the values in equation (1).

BD = 10 + 10

= 20 units

Hence, the length of BD is 20 units.

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Gala2k [10]

Answer:

b=60

Step-by-step explanation:

6+4/5b=9/10b

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Vadim26 [7]

Answer:

-4

+3

12

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Step-by-step explanation:

The x intercepts are the values of x when y = 0 ie the roots of the equation
-x^2 -x +12 = 0

or

x^2  + x  - 12 = 0

We can re-write the above as:
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This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3

y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12

Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x

Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5

Plugging this value of x into the original function gives the vertex y value
y = - (0.5^{2}) - (-0.5) + 12\\= -0.25 + 0.5 + 12 = 12.25

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5

The graph of the quadratic function shows these values

3 0
2 years ago
8. Graph the following equation: y = x2 + 4x - 5
Dennis_Churaev [7]

Answer:

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3 years ago
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jonny [76]
We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

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3 years ago
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nasty-shy [4]

Answer:

D) no solution

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x =2

But this is not a possible solution since that is not in the domain

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