matrices

[dreamy spire]

would the answer for the last part be 2.8?

[harsh sierra]

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[atomic ore]

post your work

[dreamy spire]

its quite messy but sure

ah i cant find my phone, i can try expain what ive done

also new answer is 5.2 i made a mistake

i think at least

but yh i started by taking the det of the matrix and got it as 14

so the area of the original triangle as 26

then i sketched out the coordinates of the original triangle and just took k as a positive integer, dont think it matters tho

[atomic ore]

k is a constant

but yes, you can assume k>0

[dreamy spire]

yh sry i mean constant not integer

then i basically made a large rectangle for a large total area

and sectioned some smaller right angle triangles within that which was the bits i didnt need

so equation i got was 5k=26

so k=5.2

but theres no ms so idk if im right

[atomic ore]

11-3=5?

it's a triangle with base 11-3=8 and height k from your sketch

[dreamy spire]

the triangle wont have a height k cuz its not a right angle i dont think

[atomic ore]

... the height is perpendicular to the base regardless of the triangle

recall elementary school geometry

[dreamy spire]

yh nvm thats mb, long day

[atomic ore]

nw

[dreamy spire]

is k 6.5?

[atomic ore]

,calc 26/4

[vestal stream]

Result:

6.5

[atomic ore]

yes

or -6.5

[dreamy spire]

oh yh forgot about that solution ty

not sure how i failed on the basic math bit but oh well