How to use implicit differentiation to find an equation of the tangent line?

1 answer:

5 0

The slope of the line is the dy/dx value every time it appears in the differential equation. By substituting values for x and y in the DE, the slope can be found for the tangent at a point. This is the value of m in y=mx+a. To find a, plug in the tangent point.

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You have quarters and dimes that total $2.80. your friends says its possible that the number of quarters is 8 more than the numb

Sidana [21]

$\text{Let the number of dimes be x, then as per the friend the number of }\\
\text{quarters should be 8 more than dimes, so number of quarters}=x+8\\
\\
\text{we know that the value of 1 dime is }\$ 0.10 \text{ value of one quarter is }\$0.25\\
\\
\text{And since the total value of quarters and dimes is }\$2.80, \text{ so we have}\\
\\
0.10(x)+0.25(x+8)=2.80\\
\\
\Rightarrow 0.10x+0.25x+2=2.80\\
\\
\Rightarrow 0.35x=2.80-2\\
\\
\Rightarrow 0.35x=0.80$

$\Rightarrow x=\frac{0.80}{0.35}=2.29\\
\\
\text{so if we take 2 dimes then we'll have to take 10 quarters according to friend.}\\
\\
\text{So the statement of friend is }$ WRONG

6 0

3 years ago

The ratio of the number of boys to the number of girls in the school is 11 : 13 there are 72 less boys in the school how many ki

professor190 [17]

Lets:
x=number of boys.
y=number of girls

We can suggest this system of equations:
x/y=11/13 ⇒x=11y /13
x=y-72

We can solve this system by substitution method
(11y/13)=y-72
lower common multiple=13
11y=13y-936
11y-13y=-936
-2y=-936
y=-936/-2
y=468

x=11y/13=11(468)/13=396

There are 396 boys and 468 girls in this school,
number of kids=number of boys + number of girls.
number of kids=396+468=864

Answer: there are 864 kids in this school.

4 0

3 years ago

Given the triangle below, tell me if it's a right triangle or not. Then, explain your answer with evidence.

padilas [110]

No because the triangle’s angle is less than 90 degrees if it was a right angle triangle it would have a square marking the angle.

6 0

3 years ago

Find all the zeroes of the function f(x)=11x^2+x+5

Rufina [12.5K]

Answer:

$x = \frac{1 + \sqrt{(-219)} }{22} , \space x = \frac{1 - \sqrt{(-219)} }{22}$