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Ivan
3 years ago
12

A trapezium of area 105 cm2 has parallel sides of length 5cm and 9 cm how far apart are the parallel sides

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0
For a trapezoid:
the area equals the product of half the sum of the two bases' length and the normal height between them

so that, we can write:
105= \frac{5+9}{2}*h\\~\\h=15~~cm

Hence <span>the parallel sides are 15 cm apart.


</span>

I hope that helps!



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This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
PIT_PIT [208]

Answer:

<em>x=-14</em>

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

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Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

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Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

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\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}

The equation of the line is:

\displaystyle y=-\frac{3}{10}x+b

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\displaystyle 24=-\frac{3}{10}\cdot (-94)+b

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\displaystyle y=-\frac{3}{10}x-\frac{21}{5}

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\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}

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x=-14

5 0
3 years ago
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