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tia_tia [17]
2 years ago
11

What is the image of the point (-5,-9) after a rotation of 90 degrees counterclockwise about the origin

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Answer:(9,-5)

Step-by-step explanation: trust me

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In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice th
seraphim [82]

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

7 0
3 years ago
\[f(x)=\sqrt{x ^4-16x ^{2}}\]
marusya05 [52]
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
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m = - 3 / 34 
4 0
3 years ago
Find the zeros of f(x)=-3x^3+6x+5.
Tasya [4]

Answer:

x = 1.723

Step-by-step explanation:

The  zeros of a function f(x) are the points where the function crosses the x-axis. At these points, the function will have a value of zero, that is;

f(x) = 0

We simply graph the function and determine the points where it crosses the x-axis. From the attachment, f(x) crosses the x-axis at;

x = 1.723

8 0
3 years ago
Read 2 more answers
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 we
aleksandr82 [10.1K]

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

3 0
2 years ago
Find m/EGD. (measurement in degrees)
Wewaii [24]

Answer:

\huge\boxed{\bf\:30^{\circ}}

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

\rule{150pt}{2pt}

6 0
2 years ago
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