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Lena [83]
3 years ago
9

Find the area of the figure.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

The area is 30

Step-by-step explanation:

because its length x width x height

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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
576 = 96 × 6
aliya0001 [1]

Answer:

D

Step-by-step explanation

A.96=6+576

B.576=96+6

C. 96=6×576

D. 576=96×6

5 0
2 years ago
Explain how to divide negative and positive rational numbers.
I am Lyosha [343]

Answer:

The rule for multiplying and dividing rational numbers

Ok so if both numbers are negative or positive the answer will be positive. but if one number is positive and the other is negative the answer is negative.

Hope this helps

Brainliest please

7 0
2 years ago
Is x=-2 a positive slope
victus00 [196]

Answer:

No

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

7 0
3 years ago
I WILL GIVE BRAINLIEST AND 30 POINTS FOR THE ANSWER!!
agasfer [191]

Answer:

1170 m²

Step-by-step explanation:

Parallelogram: 40 x 18 = 720

triangle: (50 x 18) / 2 = 450

total area: 720 + 450 = 1170

5 0
2 years ago
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