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pashok25 [27]
2 years ago
14

Work out the area of the trapezium ABDE.

Mathematics
1 answer:
kvv77 [185]2 years ago
6 0

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

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Find an equation of the plane passing through (0 comma negative 1 comma 1 )that is orthogonal to the planes 3xplus4ynegative 3ze
galben [10]

Answer:

The equation of plane is

22x -3y+18z = 21

Step-by-step explanation:

We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes

n_1:3x + 4y-3z = 0\\n_2:-3x + 2y + 4z = 5

Thus, we can write:

n_1:\\n_2:

We will evaluate:

n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =

The required plane passes through the point (0,-1,1)

Thus, the equation of plane is

n.=0\\\Rightarrow .=0\\\Rightarrow 22(x) -3(y+1) + 18(z-1) =0\\\Rightarrow 22x - 3y - 3 + 18z - 18 = 0\\\Rightarrow 22x -3y+18z = 21

is the required equation of the plane.

7 0
3 years ago
Choose the correct product of (2x − 4)2.
forsale [732]
(2x – 4)(2x –4)

For binomials, follow the rule FOIL (first, outside, inside, last.)

4x^2 + -8x + - 8x + 16

4x^2 – 16x + 16
7 0
2 years ago
Read 2 more answers
Graph y-5=-2/3(x+9)<br> 50 points !!!
Viktor [21]
Here is the graph. A way you could graph this is notice how this equation is in point-slope form.

A line that passes through (x1, y1) and has slope m
y - y1 = m(x - x1)

Using the equation, you could find out that the line has a slope of -2/3 and passes through the point  (-9,5).

Have an awesome day!

4 0
3 years ago
the volume of a candle is 8 cubic inches . what is the volume of a similar candle that is larger by a scale factor of 1.5
Doss [256]
<span> <em>The volume of a candle is 8 cubic inches. What is the volume of a similar candle that is larger by a scale factor of 1.5</em> ? - 841748.</span>
3 0
3 years ago
Read 2 more answers
Please help and show work!! Also please check work!!
Leto [7]

Hi!

<h3>Divide by -10 on both sides. </h3>

-10x/-10 < -100/-10

<h3>The inequality sign flips because we are dividing by a negative number. </h3>

<u>x > 10</u>

<h2>The answer is A x > 10</h2>

Hope this helps! :)

-Peredhel

3 0
2 years ago
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