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julsineya [31]
3 years ago
8

find the coordinate of U' after a 90° counterclockwise rotation of the triangle about the origin and then a translation of 2 uni

ts down and 5 units left.​

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer: U' = (0, 1)

<u>Step-by-step explanation:</u>

U = (3, -5)

rotate 90° counterclockwise means (x, y) = (-y, x)

new U = (5, 3)

down 2 units means subtract 2 from the y-coordinate

newer U = (5, 1)

left 5 units means subtract 5 from the x-coordinate

U' = (0, 1)

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5 0
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Find numbers that multiply to 28 and add them to see if they add to 8
28=
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2 and 14=16 not 8
4 and 7=11 not 8
that's it'
no 2 numbers
we must use quadratic formula

x+y=8
xy=28

x+y=8
subtract x fromb oths ides
y=8-x
subsitute
x(8-x)=28
distribute
8x-x^2=28
add x^2 to both sides
8x=28+x^2
subtract 8x
x^2-8x+28=0

if you have
ax^2+bx+c=0 then x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
so if we have
1x^2-8+28=0 then
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x=\frac{-(-8)+/- \sqrt{(-8)^{2}-4(1)(28)} }{2(1)}
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5 0
3 years ago
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3 years ago
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You can think of "10^5" as "green marbles" if you like. Then your question is ...

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Hopefully, the answer is all too clear: it is 5 times as large.

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In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

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Here, that looks like ...

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3 years ago
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