Write and solve a proportion to answer the question. 72 is what percent of 45?

Calculus Questions using implicit differentiation to find the equation of the tangent line that is given curve at the 2, -1

vekshin1

The tangent line to the curve has slope equal to $\frac{\mathrm dy}{\mathrm dx}$ at the point (2, -1). We have, by implicit differentiation,

$3y^2-6xy=2x+11\implies6y\dfrac{\mathrm dy}{\mathrm dx}-6y-6x\dfrac{\mathrm dy}{\mathrm dx}=2$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2+6y}{6y-6x}=\dfrac{1+3y}{3y-3x}$

At the point (2, -1), the slope is then 2/9, so the tangent line has equation

$y-(-1)=\dfrac29(x-2)\implies y=\dfrac29x-\dfrac{13}9$

6 0

3 years ago

How do we say the expression in words? can somebody help me pls rn

UNO [17]

Answer:

Step-by-step explanation:

1 Escritura unida

Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]

el bajorrelieve, los bajorrelieves

la mediapunta, las mediapuntas

En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:

el puercoespín, los puercoespines; el puerco espín, los puercos espines

el arcoíris, los arcoíris; el arco iris, los arcos iris

el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.

el pavorreal, los pavorreales; el pavo real, los pavos reales

La Gramática prefiere, como norma general, la forma en una palabra.

6 0

3 years ago

The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11

svet-max [94.6K]

Answer:

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Step-by-step explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°

4 0

4 years ago

Read 2 more answers

The sum of two numbers is 90. Their difference is 18. Find the numbers.

Naddik [55]

Answer:

36 & 54

Step-by-step explanation:

By Question :-

Sum of numbers = 90 .
Difference of numbers = 18 .

Let :-

First Number be x .
Second number be y .

According to 1st condition :-

$: \implies$ x + y = 90

According to 2nd condition :-

$: \implies$ x - y = 18

Adding the equations :-

$: \implies$ 2x = 18 + 90

$: \implies$ 2x = 108

$: \implies$ x = 54

Therefore :-

$: \implies$ First number = 54

$: \implies$ Second number = 36

5 0

3 years ago

Read 2 more answers

You ride your bike 1 3/10 mi to school at the end of the day you stop at a park on the way home the park is 2/5 mi from school h

s344n2d4d5 [400]

Answer: 1 7/10

Step-by-step explanation: u add 1 3/10 and 2/5

mark as brainly PLSS

7 0

3 years ago