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Liula [17]
3 years ago
13

What is the Pythagorean Therm state

Mathematics
1 answer:
maria [59]3 years ago
3 0

Pythagoras theorm state is-

the square of the hypotenuse side is equal to the sum of squares of the other two sides

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Find the possible values of the constant k if the roots of the quadratic equation
Anastasy [175]

Answer:

{b}^{2}  - 4ac = 0 \\  { ( - k  - 2)}^{2}  - 4(1)(4)  = 0\\  {k}^{2}  + 4k + 4 - 4 = 0 \\ {k}^{2}  + 4k = 0 \\ k(k + 4) = 0 \\  \therefore \: k = 0 \:  or \: k =  - 4

5 0
3 years ago
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad
pychu [463]

Answer:

48 feet

Step-by-step explanation:

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

AB/FD = BC/DE --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB/4 = 36/3

AB = 12

AB = 48

Hence, the height of the lighthouse is 48 feet.

7 0
3 years ago
The zeros of this using quadratic equation​
aleksandr82 [10.1K]

Answer:

you have to use the quadratic equation to find the zeros

Step-by-step explanation:

3 0
3 years ago
What is a reasonable height for a 5-story building?<br> 16 mm<br> 16 km<br> 16 cm<br> 16 m
Bogdan [553]

Answer:

16 km !

Step-by-step explanation:

all the others are FAR too small.. they wouldnt even be one story up ! and 16m  isnt 5 stories either... km would be right !

i hope this helps !!

4 0
3 years ago
Bring the fraction: b/7a^2c to a denominator of 35a^3c^3
Rina8888 [55]

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3

7 0
3 years ago
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