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MAVERICK [17]
3 years ago
11

Substitution Property of Equality: If AB = 20, then AB + CD

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

CD + 20

Step-by-step explanation:

If AB = 20, then AB + CD = 20 + CD

Answer: CD + 20

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf
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Answer:

The slope of tangent at point (1,-2) is \frac{2}{3}.

Step-by-step explanation:

The given equation of ellipse is

2x^2+xy+y^2=4

Differentiate both sides with respect to x.

\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)

\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)

4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0

(4x+y)+(x+2y)\frac{dy}{dx}=0

\frac{dy}{dx}=-\frac{4x+y}{x+2y}

Calculate the value of \frac{dy}{dx} at (1,-2).

\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}

\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}

\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}

Therefore the slope of tangent at point (1,-2) is \frac{2}{3}.

3 0
3 years ago
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Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.
lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

P(x < 24) = \frac{n(x < 24)}{Total}

So, we have:

P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}

Evaluate the sums

P(x < 24) = \frac{30}{38}

Evaluate the quotient

P(x < 24) = 0.7895

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

brainly.com/question/9385303

8 0
3 years ago
40 POINTS A guy wire is attached to a 100-foot tower that is perpendicular ot the ground. The wire makes an angle of 55 degree w
ycow [4]

Answer:

e

Step-by-step explanation:

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3 years ago
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Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1.
Margaret [11]

Answer: The vertex is the minimum value

The function is increasing when x<1

The function is decreasing when x>1

The domain of the function is all real numbers

The range of the function is all numbers less than it equal to 0

Step-by-step explanation:

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50 POINTS. PLEASE HELP!!! NEED THIS DINE BY 4:00 PM!!!!
malfutka [58]

Hey fellow Army.

So because JKLM=PQRS, that means that all the line segments are equal.

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Okay now for the graph.

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