The straight line 3y = 5x + h - 6 intersect the x-axis at 4k, where h and k are constants. explain h in terms of k

1 answer:

3 0

When a function intersects with the x-axis, it's y value must be 0. That means when the straight line intersects with the axis, it's at the point (4k,0), so plugging those numbers into our original equation yields:

$0=20k+h-6 \implies\\ 6=20k+h \implies \\ 6-20k=h$

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2 years ago

Solve for t: 3x8= t+15

hodyreva [135]

Hey there!

I'm going to set up the equation slightly different.

$(3)(8)=t+5\\24=t+5\\t+15=24\\t+15-15=24-15\\t = 9 \checkmark$

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3 years ago

Read 2 more answers

What is the value of k?

Molodets [167]

Answer:

$( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12$