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Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

(d) 112 m²

Step-by-step explanation:

The area of a parallelogram is given by the formla ...

A = bh . . . . . . where b is the base length and h is the height

Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...

A = (14 m)(8 m) = 112 m²

The area of the parallelogram is 112 square meters.

<em>Alternate solution</em>

You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.

A = 2(1/2bh) +bh

A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²

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Graph the following equation using X- and y-intercepts.<br> x + y = -3

Kitty [74]

Answer:

x-intercept: (-3,0)

y-intercept: (0,-3)

Step-by-step explanation:

Looking at the equation, we can see that it is already in standard form, or in a $Ax+By=C$ format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for $C$ and the coefficient for the x term for $A$ . So, in this case, $C = -3$ and $A = 1$ :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. $C$ is still the number on the right side of the equation and $B$ is the coefficient of the y term. So, $C = -3$ and $B = 1$ .