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2 years ago

If x = -2, then the equation is 2x = -4. True or False

Mathematics

1 answer:

Alex777 [14]2 years ago

6 0

Answer:

true

Step-by-step explanation:

2(-2)=-4

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

2 years ago

How do you solve -178=-5x+4(-4x-13)

Effectus [21]

Answer:

x = 6

Step-by-step explanation:

Pull out like factors:

-4x - 13 = -1 • (4x + 13)

Equation at the end of step 2:

-178 - (-5x + -4 • [4x + 13] ) = 0

Pull out like factors:

21x - 126 = 21 • (x - 6)

Equation at the end of step 4:

21 • (x - 6) = 0

Solve:

x-6 = 0

Add 6 to both sides of the equation:

x = 6

5 0

3 years ago

Will give brainliest if right help plssss

zheka24 [161]

Answer:

B :)

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

If a and b are real numbers, what property of real numbers is illustrated by the equation below? 4a + 4b = 4(a + b)

Tresset [83]

D. Distributed Property of Multiplication over Addition. Happy Thanksgiving. Hope this helps.

7 0

3 years ago

Please help!!!

Dominik [7]

Answer:

Step-by-step explanation:

8+1=9

16+2=18

24+3=27

32+4=36

40+ 5=45

7 0

3 years ago