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PSYCHO15rus [73]
3 years ago
15

Is(5, 6)asolutiontotheinequality y < 2x + 4 ?

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Substitute the values.

x = 5

y = 6

y < 2x + 4

6 < 2(5) + 4

6 < 10 + 4

6 < 14

6 is indeed less than 14

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Find theta between 0 and 2pi of the point (2,-4). Round to the nearest hundredth.
Irina18 [472]

check the picture below.


\bf (\stackrel{x}{2}~,~\stackrel{y}{-4})\qquad tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{-4}{2}\implies tan(\theta )=-2\\\\\\\measuredangle \theta =tan^{-1}(-2)\implies \measuredangle \theta \approx -63.44^o\implies \measuredangle \theta \approx \stackrel{360^o-63.44^o}{296.56^o}


as you may already know, tan⁻¹ function has a range of (π/2, -π/2), and therefore it will give us the negative counterpart angle, however, the positive one we can get it by going the other way, 360 - θ.

3 0
4 years ago
What is the length of sides of the square shown below? 45 2 90 A. 2sqrt(2) B. 4sqrt(2) C. 1 OD. sqrt(2) E. 4 F. 2
sergij07 [2.7K]

Answer:

<h2>Uh oh! It looks like your question is missing some crucial information.</h2><h2 />

Step-by-step explanation:

There is no " square shown below"

6 0
3 years ago
Given the parent function f(x) = x^2 describe the translation of the function y=(.2x)^2?
Bad White [126]

Answer:

Option C.

Step-by-step explanation:

Let f(x) = x ^ 2 be a quadratic function

Then we do the function y = f(bx) = (bx) ^ 2

Where b is a real number.

If b> 1 then the function y = (bx) ^ 2 represents a horizontal compression of the function y = x ^ 2  

If  0 Then the function y = (bx) ^ 2 represents a horizontal expansion compression of the function y = x ^ 2 by a factor of \frac{1}{b}

In this case, the equation is:

y = (0.2x) ^ 2 Then:

b = 0.2

0

Thus

y = (0.2x) ^ 2 is a horizontal expansion of the function y = x ^ 2 by a factor of \frac{1}{0.2} = 5.

The correct option is: Option C

4 0
3 years ago
You buy a new graphing calculator for $125. Graphing calculators hold their value very well, and only depreciate
marishachu [46]

Depreciation formula :

Amount x (1-rate)^time

125 x (1-0.005)^5

124 x 0.995^5 = 121.91

Answer: $121.91

5 0
3 years ago
BRAINLIEST if right! 
Alisiya [41]
The formula for the area of a circle is pi times the radius squared. Here are the steps to solving this problem.

1. First, find the radius. Since the radius is allows half of the diameter, then we divide the diameter by two. 50/2= 25

2. Next, we square the radius. 25^2= 625

3. After that we multiply 625 ft by pi(3.14).
625 times 3.14= 1962.5

4. The last step is to round the the answer to the nearest square foot. Since 5 is at the end, we round up to 1,963.

So the answer is 1,963 ft^2.
4 0
3 years ago
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