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3 years ago

Pls help me. rlly need help. question in picture. pls hurry

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

$(x-9)(x-6)$

Step-by-step explanation:

Factor $x^2-15x+54$

Find two numbers that add up to -15 and multiply to 54 (hint hint, two negatives makes a positive hint hint):

$-9, -6$

Rewrite the expression:

$(x-9)(x-6)$

<em>Finito.</em>

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2 years ago

A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m

Flura [38]

<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

Hypotenuse² = Base² + Perpendicular²

h² = b² + p²

We have for ladder

h = 5 m

b = 3 m

5² = 3² + p²

p = 4 m

$\frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0$

Differentiating h² = b² + p² with respect to time

$2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s$

The top of the ladder is descending at 0.3 m/s.

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2 years ago

Pls help me. rlly need help. question in picture. pls hurry​

Pls help me. rlly need help. question in picture. pls hurry