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Mathematics

1 answer:

yan [13]3 years ago

7 0

9514 1404 393

Answer:

y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

-1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

y -k = m(x -h) . . . . . line with slope m through point (h, k)

y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

This can be put into slope-intercept form by solving for y and simplifying.

y +2 = 2/3x -14/3

y = 2/3x -20/3

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The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers,

bonufazy [111]

Answer:

12 and 15

Step-by-step explanation:

x + y = 27

x +3 = y

x = y - 3

y - 3 + y = 27

2y = 24

y = 12

7 0

3 years ago

This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

$\rm\implies Side_1 = 7 \ units$

$\rm\implies Side_2 = 3 \ units$

$\rm\implies \perp \ Distance =4 \ units$

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

$\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}$