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goblinko [34]
10 months ago
7

Name the angle? What type of angle is it?

Mathematics
1 answer:
Norma-Jean [14]10 months ago
6 0

Given the figure of an angle:

The name of the angle will be: EPX

The type of the angle: obtuse

Because it is greater than 90

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The graph of y=f(x)y=f(x) is shown below. Find all values of xx for which f(x)>0f(x)>0
Rzqust [24]

Answer:

  (-∞, -7) ∪ (-3, ∞)

Step-by-step explanation:

The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...

  (-∞, -7) ∪ (-3, ∞)

4 0
2 years ago
Which statement is correct?​
ale4655 [162]
“Just follow your heart to find the answer” -someone
6 0
3 years ago
A telemarketer earns $150 a week plus $2 for each call that results in sale. Last week she earned a total of $204. How many of h
cluponka [151]

Answer:

27 calls

Step-by-step explanation:

Let T(x) represent total sales.

Then T(x) = $150 + ($2/call)x, where x is the number of calls made.

If T(x)        = $204, we can solve for x, the number of calls made:

$204 = $150 + ($2/call)x, or

 $ 54

----------- = 27 calls

$2/call

8 0
3 years ago
A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0
2 years ago
Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
2 years ago
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