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Setler [38]
3 years ago
12

What is the value of x? Round to the nearest tenth.

Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Check the picture below.

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The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is
zheka24 [161]

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

5 0
3 years ago
In the diagram below, m
SCORPION-xisa [38]

Answer:

m<CGE: 86

Step-by-step explanation:

<CGE:

64 + 30 + x = 180

94 + x = 180

x = 86

6 0
3 years ago
Read 2 more answers
what are the hypothesis and conclusion of the following statement write it as a conditional residents of key west live in florid
vladimir1956 [14]
In conditional form, the hypothesis is "if they live in key west" and the conclusion is "then they live in florida"
5 0
3 years ago
Solve an equation x/17= -4
Rainbow [258]

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

6 0
3 years ago
Please help with this arc equation.
boyakko [2]

Answer:

Part 1) arc\ AB=49^o

Part 2) arc\ ABC=204^o

Part 3) arc\ BAC=156^o

Part 4) arc\ ACB=311^o

Step-by-step explanation:

Part 1) Find the measure of arc AB

we know that

arc\ AB=m\angle AOB ----> by central angle

we have

m\angle AOB=49^o

therefore

arc\ AB=49^o

Part 2) Find the measure of arc ABC

we know that

The central angle of complete circle is equal to 360 degrees

so

arc\ ABC=360^o-107^o-49^o=204^o

Part 3) Find the measure of arc BAC

we know that

arc\ BAC=arc\ BA+arc\ AC ----> by angle addition postulate

we have

arc\ BA=49^o ---> by central angle

arc\ AC=107^o ---> by central angle

so

arc\ BAC=49^o+107^o=156^o

Part 4) Find the measure of arc ACB

we know that

The central angle of complete circle is equal to 360 degrees

so

arc\ ACB=360^o-arc\ AB

substitute

arc\ ACB=360^o-49^o=311^o

4 0
3 years ago
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