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kolbaska11 [484]
3 years ago
15

Find a real number between the square root of 70 and the square root of 75.

Mathematics
1 answer:
Alex3 years ago
3 0
Sqrt 70 < sqrt x < sqrt 75

sqrt of 64 = 8
sqrt of 81 = 9

8 < x < 9

8.4^2 = 70.56
8.5^2 = 72.25
8.6^2 = 73.96

sqrt 70 < sqrt (8.4^2 to 8.6^2) < sqrt 75
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What are some easy ways to find the value of<br> (2017^4−2016^4)/(2017^2+2016^2) without calculator
scoray [572]

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

<h3>\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}</h3>

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by \frac{2017^2+2016^2}{2017^2+2016^2} which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

8 0
3 years ago
Please help thank you.
SSSSS [86.1K]
You get the same figure if you reflect it across a horizontal or vertical line through its center (reflectional symmetry).

You get the same figure if you rotate it 180° (rotational symmetry)

Each point corresponds to another equidistant from the center on a line through the center (point symmetry).

The 4th selection is appropriate.
7 0
4 years ago
I have 20 movies 85% are action how many are action
Alona [7]
20*0.85
17
17 are action movies
8 0
3 years ago
Read 2 more answers
Please help me solve this!!!!!!
BabaBlast [244]

Answer:

C. 9

Step-by-step explanation:

y = -4x^2 + 2kx

subtitute 3:

y = -4(9)^2 + 2k(9)

y = -4(81) + 18k

let y = 0

=> 0 = -324 + 18k

=> k = 324/18 = 9

this is my calculations hope it helps

4 0
2 years ago
Read 2 more answers
If h(x) = 5x - 3 and j(x) = -2x, solve hlj(2)] and select the correct answer below. (1 point)
BARSIC [14]

Answer:

-23

Step-by-step explanation:

We are given the functions;

h(x) = 5x - 3 and j(x) = -2x

Now, we want to find h[j(2)]

j(2) = -2(2)

j(2) = -4

Thus;

h(-4) = 5(-4) - 3

h(-4) = -20 - 3

h(-4) = - 23

4 0
3 years ago
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