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3 years ago

Find the coordinates of point, P, which divides the line segment from A = (0, 4) to B = (6, 8) in a ratio of 2:1.

1 answer:

6 0

When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer.

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Gregory sees an $80.00 jacket on sale at 30% off. How much will it cost after a 7% sales tax? $56.00 $59.92

ahrayia [7]

$80.00 × 30%
= $24
= $80 - $24
= $56 × 7%
= $3.92
= $56 + $3.92
= $59.92

7 0

3 years ago

Read 2 more answers

The graph of g(x) is a reflection and translation of ∛x see attachment, please help

svetoff [14.1K]

<h2>Hello!</h2>

The answer is: $g(x)=-\sqrt[3]{x-1}$

Let's check the roots and the shown point in the graphic (2,-1)

First,

$0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1$

then,

$g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1$

So, we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

( $g(x)=-\sqrt[3]{x-1}$ )

Second,

Evaluating the function at (2,-1)

$y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1$

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is $g(x)=-\sqrt[3]{x-1}$

Have a nice day!

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