<em>x = - 2</em>
<em>y = 5</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>2x + 9 = y</em>
<em>y = - 4x - 3</em>
<em>
</em>
<em>equality</em>
<em>2x + 9 = - 4x - 3</em>
<em>2x + 4x = - 9 - 3</em>
<em>6x = - 12</em>
<em>x = - 12 : 6</em>
<em>x = - 2</em>
<em>replace x = - 2</em>
<em>2(-2) + 9 = y</em>
<em>- 4 + 9 = y</em>
<em>y = 5</em>
<em>Good luck !</em>
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Answer:
0.40 + 0.02
Step-by-step explanation:
4 tenths plus 2 hundredths
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
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