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Slav-nsk [51]
2 years ago
7

The fire department needs to rescue a man from a house. There is a large, unstable puddle below the house. The ladder needs to b

e placed 60 feet from the house and reach up to a 40 foot window. How long must the ladder be?

Mathematics
2 answers:
nevsk [136]2 years ago
5 0

Answer: 100 feet

Step-by-step explanation:

60+40=100

s2008m [1.1K]2 years ago
4 0

Answer:

at least 73 feet

Step-by-step explanation:

40^2+60^2=5200

square root 5200=72

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Multiply the polynomials show steps
Karo-lina-s [1.5K]

Answer:

3a^{4} + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>

(a² + 4a - 6) × (3a² - a + 3) =

(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}

<u>Now we can evaluate the terms in the brackets. </u>

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

<u>We can open the brackets now. One plus and one minus makes a minus. </u>

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

<u>Evaluate like terms.</u>

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3a^{4} + 11a³ - 7a² + 18a - 18

5 0
3 years ago
Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
lions [1.4K]

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0
3 years ago
Read 2 more answers
During 30 minutes on the treadmill, LaToya burned 20 calories per minute. What is the rate of change of the function that repres
Genrish500 [490]
The answer I believe is 10 calories per minute because 20 x30 =600 I did that because she burned 20 calories per minute so with that being said there’s 60 minutes is the maximum minutes any time can go to so you do 600 divided by 60 which equals 10 which means she burns 10 calories per minute hope this is right
3 0
3 years ago
The rate at which energy is used is called <br> work, voltage, power, or amperage.
SSSSS [86.1K]

Answer:

The rate at which energy is used is called power.

Step-by-step explanation:

5 0
3 years ago
CAN SOMEBODY PLZZ HELP IM STUDYING FOR A MATH TEST PLLZZZ HELP!!! Thank You!
KatRina [158]

Answer:

46

Step-by-step explanation:

just do -4x-4=16 then 6x5=30 than add 16+30 =46

8 0
3 years ago
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