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satela [25.4K]
3 years ago
9

Need help on #4 thank you!

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0
336 the person above is right
Bumek [7]3 years ago
4 0

Answer:

Try 336

Step-by-step explanation:

14+14=28

triangle area= 12x6x28=84

rectangle area= 28x9=252

252+84= 336

answer=336

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
Use the long division method to find the result when 6x3 + 19x2 + 10x + 1 is<br> divided by 2x + 1.
galina1969 [7]

Answer:

Hope this answer helps you !

3 0
2 years ago
Find the percent change from 200 to 192.
masha68 [24]

Answer:

4% change

Step-by-step explanation:

8 0
3 years ago
Cuantos años hay que tener un capital de 8500 euros a un redito de 3,75% para que produzca un interes de 2868,75 euros?
Rainbow [258]

Respuesta:

9 años

Explicación paso a paso:

Dado :

Capital = Principal, P = 8500 €

Rendimiento, tasa, r = 3,75%

Intereses, i = 2868,75 €

Para obtener el plazo, número de años que se necesitarán para devengar un interés de 2868,75 € sobre un capital de 8500 € al tipo del 3,75%;

Interés = principal * tasa * tiempo

2868,75 € = 8500 € * 0,0375 * t

2868,75 € = 318,75 billones €

t = 2868,75 € / 318,75 €

t = 9

Por lo tanto, tomará un período de 9 años.

4 0
2 years ago
Write an equation of the line that passes through the point (4, –5) with slope 2.
Jlenok [28]

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8    -8

------------------

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

5 0
2 years ago
Read 2 more answers
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