Answer: 14 miles
Step-by-step explanation:
70/5 = 14
Use implicit differentiation to find the slope of the tangent line at the given point:
Answer:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0[/tex]
Step-by-step explanation:
We are given the equation:
[tex](x^2+y^2)^2=4x^2y[/tex]
And we want to find the slope of the tangent line at the point (1,1).
Recall that the slope of the tangent line to a point of a function is given by the function's derivative.
Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right][/tex]
Let's do each side individually.
Left:
We can use the chain rule:
[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]
Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)[/tex]
Differentiate:
[tex]\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)[/tex]
Factor. Therefore, our left side is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)[/tex]
Right:
We have:
[tex]\displaystyle \frac{d}{dx}\left[4x^2y\right][/tex]
We can move the constant multiple outside:
[tex]\displaystyle =4\frac{d}{dx}\left[x^2y\right][/tex]
We will use the Product Rule:
[tex]\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)[/tex]
Differentiate:
[tex]\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
Therefore, our entire equation is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:
[tex]\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)[/tex]
Evaluate:
[tex]\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)[/tex]
Further simplify:
[tex]\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}[/tex]
Distribute:
[tex]\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}[/tex]
Solve for dy/dx:
[tex]\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0[/tex]
Therefore, the slope of the tangent line at the point (1, 1) is 0.
Explain why Figure B is not the image of Figure A after a rotation using center P
Answer:
because the are not the same measurement nor the right placement
Step-by-step explanation:
The sides of figure B appear narrower than the sides of figure A.
We need to explain why Figure B is not the image of Figure A after a rotation using centre P.
What is a rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Now,
The reason why figure B is not the image of figure A after a rotation using centre P includes
1) The angle of rotation is measured as 180 - 45 = 135°, while the angle of rotation of the base is (90 - 26) + (90 - 71) = 83°
2) Rotation of a figure is a rigid transformation, such that the dimensions of the sides of the pre-image and the sides of the image should be equal after the rotation, however, the sides of figure B appear narrower than the sides of figure A.
Therefore, the sides of figure B appear narrower than the sides of figure A.
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Find the equation for the vertical line that goes through point M(−2, 6).
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
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A. g(x)= -5/2[x]
B. g(x)= -2/5[x]
C. g(x)=2/5[x]
D. g(x)=5/2[x]
Plz help
Answer:
B. g(x) = -2/5[x]
...............
15 divided by 266 I need R
Answer:
Step-by-step explanation:
You could use a calculator or you could perform long division to find the remainder of 15/266. There is no integer quotient, other than 0 (zero). That means 15 is the remainder.
Supposing you were dealing with 266/15 (which is really a different problem). This division produces an integer quotient and a remainder:
266
------- = 17 r. 11
15
Double-check to ensure that you've copied this problem down correctly.
HELPPPPP
Find the sum of the series 18 +12 +8+16/3...
Answer: who knows what the answers is bruh
Step-by-step explanation:
Which expression is equivalent to 6x2−(4x+10)−3+(4x2−5x)? 100 points and brainly for fast answer
Answer:
1
Step-by-step explanation:
12-4x-10-3+(8x-5x)
collect like terms
12-4x-10-3+(3x)
remove the parenthesis
12-4x-10-3+3x= 1
Answer:
10x² - 9x - 13
Step-by-step explanation:
6x² - (4x + 10) - 3 + (4x² - 5x)
~Remove parenthesis
6x² - 4x + 10 - 3 + 4x² - 5x
~Combine like terms
10x² - 9x - 13
Best of Luck!
integrate x^2+5 please i need it fast
Answer:
[tex]\frac{1}{3}[/tex] x³ + 5x + c
Step-by-step explanation:
Using the power rule
∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]
Thus
∫ x² + 5 dx
= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
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5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6
it is 10.63
Step-by-step explanation:
Used a calculator
Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
the slope of the line is undefined
Step-by-step explanation:
i just took test
The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula p=mv shows this relationship. Which equation shows the formula p=mv correctly solved for v?
A.
v=pm
B.
v=p/m
C.
v=p−m
D.
v=m/p
On solving for [v], we get v = p/m.
What is momentum?Momentum is defined as the product of mass and velocity of a body. Mathematically, we can write vector as -
p = mv
It is a vector quantity. In a three dimensional coordinate, the momentum vector can be resolved as -
[p] = p[x] a[x] + p[y] a[y] + p[z] a[z]
[p] = m {v[x] a[x] + v[y] a[y] + v[z] a[z]}
Given is the momentum of an object whose formula is p=mv.
We have the formula for momentum as -
p = mv
We can solve for [v] as -
p = mv
Divide by [m] on both sides, we get -
p/m = mv/m
v = p/m
Therefore, on solving for [v], we get v = p/m.
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Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation
Answer:
reflection
Step-by-step explanation:
this is a reflection off y=-x
Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
helppp first to answer get brainlist
Answer: c
Step-by-step explanation:
Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of
miles he runs.
months he runs.
miles he ran the first day.
calories he burns.
The variable x represent the number of months in which he runs.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that Sean one-half mile on his first run and adds two miles a month to his run. It is given by the equation f(x)= 0.5 + 2x
The variable x represent the number of months in which he runs.
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resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
For exercise 1-3 find the coordinates of the midpoint of the segment with each pair of end points (12,-7) and (-6,15)
Answer:
The answer is
( 3 , 2)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(12,-7) and (-6,15)
The midpoint is
[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
( 3 , 2)Hope this helps you
approximate each irrational number to the nearest hundreth √32
Answer:
5.66
Step-by-step explanation:
sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66
multiply 1 5.8 and 5.62
Answer:
88.796
Step-by-step explanation:
you multiply them...
please help asap! thanks
Answer:
its the last one i believe
Step-by-step explanation:
because u have to get m by its self so
you divide 5 square from both sides and boom
1. Jane solved the midpoint, M, of a segment with endpoints (-4,-1) and(2,5) as shown below. Is her findings correct?
Step-by-step explanation:
I guess I was help full for u
feet
12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water
Danny was closest to the surface of the water.
Here,
Darcy and Danny were diving on a trip in the Bahamas.
When they stopped to look at a school of fish, Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water and Danny was 17/2 feet below the surface.
What is square root?
A square root of a number x is a number y such that [tex]y2 = x[/tex].
Now,
Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water.
⇒[tex]\sqrt{78} = 8.83[/tex]
Danny was 17/2 feet below the surface.
[tex]\frac{17}{2} = 8.5[/tex]
Clearly, [tex]8.5 < 8.85[/tex]
Hence, Danny was closest to the surface of the water.
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answer quick please
Answer:
x= 12 y= 9
Step-by-step explanation:
x+29=3x+5
-x
29=2x+5
-5
2x=24
/2 /2
x=12
12+29=41
180-41= 139+5= 144÷16=9
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs
−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
Solve the following proportion for x. x/5 = 17/11
Answer:
x=85/11
Step-by-step explanation:
[tex]\frac{x}{5}= \frac{17}{11} \\\\5*\frac{x}{5} =\frac{17}{11} \\\\x=\frac{85}{11}[/tex]
Math problem whoever answers it right gets brainlist
Answer:
the 2nd one
Step-by-step explanation:
look at it again its simple
38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
what is the answer to 1/4 - 2/5
Answer:
0.15
Step-by-step explanation:
longerrrrrrrrrrrrr