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Licemer1 [7]
3 years ago
15

The line y+4=3/4(x-8) contains point (a,2). Find a.

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

a = 16

Step-by-step explanation:

y + 4 = \dfrac{3}{4}(x-8)\\\\y + 4 = \dfrac{3}{4}x- \dfrac{3}{4}*8\\\\y +4 = \dfrac{3}{4}x-3*2\\\\y+4+6= \dfrac{3}{4}x \\\\y+10= \dfrac{3}{4}x

Now plugin x = a and y =2 in the above equation,

2+10= \dfrac{3}{4}*a\\\\12= \dfrac{3}{4}a\\\\12* \dfrac{4}{3}=a\\\\a=4*4\\\\a=16

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(1+i)^2(x+yi)=4+5i<br> Solve for x and y
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Answer:

x = 5/2

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Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

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By comparing both sides,

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3 years ago
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Alex17521 [72]

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

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Have a good day

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3 years ago
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