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3 years ago

(-4).(-4).(-4). y. y

Mathematics

1 answer:

Andre45 [30]3 years ago

7 0

Answer:-64y^2

Step-by-step explanation:

-4x-4=16

16x-4=-64

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2. (01.02 MC) Find the value of the expression 4a4 – 2b2 + 40 when a = 2 and b = 7. (5 points)

Sergio039 [100]

Answer:

4x2x4 - 2×7×2 + 40

64 - 28 + 40=76

6 0

2 years ago

michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches

belka [17]

Answer:

1695.6 in³

Step-by-step explanation:

Cylinder volume formula: V= πr²h

Given

h = 15 in
r = 6 in

Volume of soup pod

V = 3.14*6²*15 = 1695.6 in³

8 0

3 years ago

PLEASE HELP!!! ILL GIVE BRAINLIEST what is the function rule is slope

sergey [27]

Answer:

here!

Step-by-step explanation:

How to write a function rule using the concept of slope. Let us do this for example #3. The goal is use the equation y = mx + b. y = 4x + b. Use (1,6) to find b. 6 = 4 + b.

8 0

2 years ago

TOP OF THE MORNIN TO THE PEOPLE THAT CAN ANSWER THIS!!!!

Dvinal [7]

surface area=4πr2=2700 cm2
r2=27004π=27004×3=225
r=225−−−√=15
volume=43πr3=43×3×153=13500 cm3

7 0

3 years ago

Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0

natita [175]

Answer:

$\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C$

Step-by-step explanation:

Given differential equation,

$(x^2 + y^2) dx + (x^2 - xy) dy = 0$

$\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)$

Let y = vx

Differentiating with respect to x,

$\frac{dy}{dx}=v+x\frac{dv}{dx}$

From equation (1),

$v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}$

$v+x\frac{dv}{dx}=-\frac{x^2 + v^2x^2}{x^2 - vx^2}$

$v+x\frac{dv}{dx}=-\frac{1 + v^2}{1 - v}$

$v+x\frac{dv}{dx}=\frac{1 + v^2}{v-1}$

$x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v$

$x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}$

$x\frac{dv}{dx}=\frac{v+1}{v-1}$

$\frac{v-1}{v+1}dv=\frac{1}{x}dx$

Integrating both sides,

$\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx$

$\int{\frac{v-1+1-1}{v+1}}dv=lnx + C$

$\int{1-\frac{2}{v+1}}dv=lnx + C$

$v-2ln(v+1)=lnx+C$

Now, y = vx ⇒ v = y/x

$\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C$

5 0

2 years ago