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Sloan [31]
3 years ago
9

What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

Dear mcdeagon,

Answer to your query is provided below:

Magnitude of -2a-3b = -18i-6j

Step-by-step explanation:

When a = 3i+9j and b = 4i-6j

Magnitude of -2a-3b will be calculated by putting value of a and b

So, -2a-3b = -2(3i+9j)-3(4i-6j)

= -6i-18j-12i+12j = -18i-6j

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In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.
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Let AB extended intersect DC extended at point E 
<span>We now have right triangle BEC with E = 90 degrees </span>

<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>

<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
5 0
3 years ago
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3 years ago
7 more than the quantity 3 times 2
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3 years ago
In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
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Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
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Therefore:
z + 90 + 35 = 180
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Hope this helps :)

8 0
3 years ago
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