Answer:
-1
Step-by-step explanation:
We can find the tangents to the curve at x = 0, where the roots of the function occur (function crosses the x-axis). We can differentiate the function with respect to x by using implicit differentiation.
[tex]\displaystyle \frac{d}{dx} \Big [ x^2 + 2xy + y^2 = 9 \Big ][/tex]We will need to use the Power Rule and Product Rule to differentiate this function.
[tex]\displaystyle 2x + 2 \Big ( x \cdot \frac{dy}{dx} + y \cdot 1 \Big ) + 2y \cdot \frac{dy}{dx} = 0[/tex]Distribute 2 inside the parentheses.
[tex]\displaystyle 2x + 2x \frac{dy}{dx} + 2y + 2y \frac{dy}{dx} = 0[/tex]Move all terms containing dy/dx to the left side of the equation, and all other terms to the right side of the equation.
[tex]\displaystyle 2x \frac{dy}{dx} + 2y \frac{dy}{dx} = -2x-2y[/tex]Factor dy/dx from the left side of the equation.
[tex]\displaystyle \frac{dy}{dx} \Big (2x + 2y \Big ) = -2x-2y[/tex]Divide both sides of the equation by 2x + 2y.
[tex]\displaystyle \frac{dy}{dx} = \frac{-2x-2y}{2x+2y}[/tex]Factor the negative sign out of the numerator.
[tex]\displaystyle \frac{dy}{dx} = -\frac{2x+2y}{2x+2y}[/tex]Cancel out the numerator and the denominator.
[tex]\displaystyle \frac{dy}{dx} = -1[/tex]The derivative of the function is -1 at all points, meaning that everywhere the function has a slope, or tangent, of -1.
The common slope of the tangents as the curve x² + 2xy + y² = 9 crosses the x-axis is -1.
pls help I will give brainleist (4)
Answer:
0.25
Step-by-step explanation:
help !! what is the expected value for the binomial distribution below ?
no bots please. i keep getting links that r fake.
Answer:
4
Step-by-step explanation:
0*(1/3125)+1*(4/625)+2*(32/625)+3*(128/625)+4*(256/625)+5*(1024/3125)
The expected value is an extension of the weighted average in probability theory. The expected value for the given binomial distribution is 4.
What is Expected value?The expected value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a large number of independently chosen random variable outcomes.
Expected value, E(x) = ∑(Px)
where P is the probability and x is the random distribution value.
The expected value for the given binomial distribution is,
Expected value = Random variable × Probability
E(x) = ∑(Px)
= 0(1/3125) + 1(4/625) + 2(32/625) + 3(128/625) + 4(256/625) + 5(1024/3125)
= 0 + (4/625) + (64/625) + (384/625) + (1024/625) + (5120/3125)
= 0 + 0.0064 + 0.1024 + 0.6144 + 1.6384 + 1.6384
= 4
Hence, the expected value for the given binomial distribution is 4.
Learn more about Expected Value here:
https://brainly.com/question/13945225
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what if this function simplified?
Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or [tex]\frac{sin(x)}{cos(x)}[/tex], and cotangent is the reciprocal of this, meaning that it is "x/y" or [tex]\frac{cos(x)}{sin(x)}[/tex].
That means that we are now given this equation.
[tex]cos(x)\frac{cos(x)}{sin(x)}+sin(x)[/tex]
That'll multiply to:
[tex]\frac{cos^2(x)}{sin(x)}+sin(x)[/tex]
We'll want a common denominator to add by multiplying [tex]sin(x)[/tex] to both top and bottom of the second term:
[tex]\frac{cos^2(x)}{sin(x)}+\frac{sin^2(x)}{sin(x)}[/tex]
[tex]\frac{cos^2(x)+sin^2(x)}{sin(x)}[/tex]
Pythagorean Identity states that [tex]sin^2(x)+cos^2(x)=1[/tex], so substitute that in:
[tex]\frac{1}{sin(x)}[/tex]
Which simplifies to:
[tex]csc(x)[/tex]
Hope this helps!
Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:
Answer:
y - intercept = -5/2
x-intercept = -2
Step-by-step explanation:
-5x - 4y = 10
At y-intercept , x = 0
0 - 4y = 10
y = 10/-4
y = -5/2
At x-intercept, y = 0
-5x - 0 = 10
-5x = 10
x = 10/-5
x = -2
Guys pls show the answer for q 30 in this worksheet I need it ASAP tysm!!
[tex] \frac{ {2}^{5} \times {3}^{ 3} \times 4}{9 \times 32} \\ \frac{ {2}^{5} \times {3}^{ 3} \times 4}{ {3}^{2} \times {2}^{5 } } \\ \\ \\ \\ therefore \: answer \: is \: 12[/tex]
hope it helps you ❣❣ Mark me as brainliestAnswer:
12
Step-by-step explanation:
2⁵ = 2*2*2*2*2 = 32
3³ = 3*3*3 = 27
(2⁵ x 3³ * 4) / (9 x 32) = (32 x 9 x 3 x 4) / (9 x 32) = 3 x 4 = 12
How many sides does a polygon have if the sum of interior angles is equal to 18 right angles ? ( please give the answer with explanations if possible)
Answer:
11
Step-by-step explanation:
So the sum of the angles is 18 × 90 = 1620
the formula to find number of sides is n which is sides - 2 into 180 equals sum of interior angles
(n-2)*180 = 1620
n-2 = 1620/180
n- 2 = 9
n = 11
hope this helped
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
1.8y-9.3y-6.3y I don't get it
Answer:
-13.8y
Step-by-step explanation:
Since these all have the same variable you don't need to worry that much. Let's take away the y to make it easier. Now you just subtract normally.
1.8 - 9.3
A trick that I use is that I subtract 9.3 - 1.8, and then add a negative sign. So that is -7.5
Then, subtract -7.5-6.3. You add these because they have the same symbol. So it is -13.8
We can't forget about the variable!! So it is -13.8y
Hope this helps!!
-Ketifa
(Can I get brainliest?)
Part of the cell theory states that the cell is the basic unit of all living things. Julio wanted to use an analogy to explain this statement to his friend. What analogy should Julio use?
A.Different books tell different stories.
B.Newspapers are printed every day.
C.Words can be both written and spoken.
D.The same letters are used to make all the different words.
Help pls dont answer if you do not know also ill give out brainliest
Answer:
3x+ -1
Step-by-step explanation:
-x-2x= -x+ -2x
-x+ -2x= -3x
1-2= -1
Hope this helps
Answer:
-3x-3
Step-by-step explanation:
pls help me!!!!!! I don't know how to do this.
Answer: 10) Fourth option
Step-by-step explanation:
10) [tex]\frac{t^2+2t-24}{t^2-36}[/tex]
Factor t^2 + 2t - 24
What two numbers add to 2 and multiply to -24?
6 and -4 so
(t + 6)(t - 4) is the factored form
t^2 - 36 factored is => because of a^2 - b^2 = (a - b)(a + b)
[tex]\frac{(t + 6)(t - 4)}{(t + 6)(t - 6)} = \frac{t-4}{t-6}[/tex]
Since we cancelled out be t + 6, t + 6 ≠ 0, t ≠ -6
And since the denominator is t - 6, t - 6 ≠ 0, t ≠ 6
[tex]\frac{t-4}{t-6}[/tex] , t ≠ -6, t ≠ 6
#11 is similar, try that yourself :)
Does 2x+15+x equal 180 or 90? Someone pls help.
Answer:
Its 180!
Step-by-step explanation:
Express in simplest form with a rational denominator.
4 over 28
Answer:
Explained in detail below
Step-by-step explanation:
4/28 = 1/7 = 1:7
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
plz fast I need it
plz plz plz
Answer:
PQ = 1/2BC
Step-by-step explanation:
What type of table is this?
a.)linear growth
b.)linear decay
c.) exponential growth
d.) exponential decay
PLS SHOW HOW YOU SOLVED IT
PLZZ HELP AND EXPLAIN IF POSSIBLE
Answer:
456 ft.sq
Step-by-step explanation:
Here's your solution
=> Divide the whole figure in two parts
First part is trapeziumSecond part is square
=> Area of trapezium = 1/2*sum of parrel sides*distance between them
=> Area of trap. = 1/2*( 24 + 11) *24
=> Area = 1/2*35*24
= > Area = 35*12. =. 420 ft.sa
=> Area of square = side*side
=> Area = 6*6
=> Area = 36 ft.sq
=> Total area of figure = 420 + 36
456 ft.sq
Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ feet. Vincent wants to know how much higher Felix went on his skydiving trip.
write the cruising altitude of vincent’s plane in standard notation
Answer:
Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.
Convert the number to standard notation.
3.2 × 10^4 feet
=
3.2 • 10,000 feet
=
32,000 feet
Step-by-step explanation:
This is the sample answer from Edmentum.
Answer:
Question 1 part a =
Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.
Convert the number to standard notation.
3.2 × 104 feet
= 3.2 • 10,000 feet
= 32,000 feet
Part b =
Felix’s skydiving altitude is 1.28 × 105 feet.
Convert the number to standard notation.
1.28 × 105 feet
= 1.28 • 100,000
= 128,000 feet
Part c =
Subtract the two altitudes to find the difference.
128,000 feet − 32,000 feet = 96,000 feet
The difference of their altitudes is 96,000 feet.
Part d =
The difference of the altitudes is 96,000 feet.
Covert 96,000 to scientific notation:
96,000 feet = 9.6 × 104 feet
Question 2 part a =
Vincent’s plane’s altitude is 3.2 x 10^4 feet.
Felix’s skydiving altitude is 1.28 x 10^5 feet.
Transform 3.2 x 10^4 so its exponent matches the power of 10 in 1.28 x 10^5.
To do so, multiply and divide the number by 10.
3.2 x 10^4 = 10/10 x 3.2 x 10^4
= 3.2/10 x 10^4 x 10
= 0.32 x 10^5
Part b =
Calculate the difference of the two altitudes:
1.28 × 105 – 0.32 × 105
= (1.28 – 0.32) • 105
= 0.96 • 105
The difference of their altitudes is 0.96 •105 feet.
Part c =
The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.
To convert the answer to scientific notation, multiply and divide the number by 10.
0.96 x 10^5 = 10/10 x 0.96 x 10^5
= (0.96 x 10) x (10^5 x 10^-1)
= 9.6 x 10^4 feet
In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.
Question 3 =
The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.
Step-by-step explanation:
Your answer is in bold. All edmentum answers :)
Hope this helps someone!
Find the mode of 7 , 3 , 2 , 5 , 0. Single choice.
2
0
No mode
Answer:
No mode
Step-by-step explanation:
The mode is the statistical method in which the most repetitive number should be considered
Like if we take an example
1,1, 2, 2, 2, 4, 4,4,4
So here the mode is 4 as 4 is repeated 4 times
But in the given situation there is no mode as every number is written single time
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
Please could someone help me with this
Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.
Given:
Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.
To find:
The edge of a cube whose volume is equal to the volume of the given cuboid.
Solution:
We know that the volume of a cuboid is
[tex]Volume=length\times breadth \times height[/tex]
[tex]V_1=36\times 75 \times 80[/tex]
[tex]V_1=216000[/tex]
The volume of a cube is
[tex]Volume=a^3[/tex]
Where, a is the side length of the cube.
The volume of cube and cuboid are equal. So,
[tex]a^3=216000[/tex]
[tex]a=\sqrt[3]{216000}[/tex]
[tex]a=60[/tex]
Therefore, the measure of edge of the cube is 60 cm.
I need help solving this pls
Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.
Mirasha collected coins. At the end of the week, she had 89 coins in total. She started off with 23 at the beginning of the week. If she got a equal amount of coins each day of the week, not counting the first day, how many coins did she get each day?
Answer:
11 coins each day, not counting the first day
Step-by-step explanation:
89 - 23 = 66
66/6 = 11 coins per day
PLZZZZ give me brainliest!
Answer:
LOLLLLLLLLLLLLLLLLLLLLLL
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
Please help, it would be very much appreciated
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
What are the coordinates of the vertex of the parabola described by the equation below?
y = -4(x - 3)2 + 5
A. (-3,-5)
B. (3,5)
C. (-5,3)
D. (5,-3)