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wariber [46]
3 years ago
10

Fine the area of the shaped trapezium in the rectangle below

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
At first find the area of rectangle:
(x + 4)*(x + 1) = x^2 + 5x + 4
Then find the area of triangle:
\frac{(x+1)(x-3)}{2} =  \frac{x^2-2x-3}{2}
Then you must do like this
Area of rectangle - Area of triangle = Area of the shaded
x^2+5x+4 - (\frac{x^2-2x-3}{2})
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Find the coordinates of the y-intercept and x-intercepts of the following. (image!)
marissa [1.9K]

Answer:

Step-by-step explanation:

We can do this  a couple of ways. We can graph it -- see below. Or we can do the math.

Math

y = x^2 - 2x - 15

This trinomial factors into

y = (x - 5)(x + 3)

from which

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and

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x = - 3

The y intercept is the value obtained when all the xs on the right = 0

y = 0^2 - 2*0 - 15

y = - 15

<em>Answer</em>

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The graph is below.

4 0
2 years ago
What is m Any answers?
Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

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Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

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x = 19

m\angle M = (6x - 2)\degree  \\  \\ m\angle M = (6 \times 19- 2)\degree  \\  \\ m\angle M = (114- 2)\degree  \\  \\  m\angle M =112\degree  \\  \\ \because m\angle M + m\angle N = 180\degree  \\ (adjacent \: angles) \\  \\ \therefore m\angle N = 180\degree   - m\angle M \\  \\ \therefore m\angle N = 180\degree   - 112 \degree \\  \\ \therefore m \angle N = 68\degree

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3 years ago
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