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3 years ago

Simplify this radical expression square root of 4w

Mathematics

1 answer:

dexar [7]3 years ago

3 0

2w maybe? The square root of four is two...

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Give the slope of the graph and the unit rate

Lerok [7]

Answer:

y=5/4 x

The slope is 5/4

Step-by-step explanation:

To solve this problem we need to find the equation of the line, y=mx+b

We've been given a table with several points, so we can use two of them to perform our calculus.

To obtain the slope we need to use the equation of slopes:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (x1,y1) =(4,5) and (x2,y2)=(8,10)

m= (10-5)/(8-4)=5/4

To obtain b we can use the point (x2,y2)=(8,10) in the equation.

10=5/4 *8 +b

b=0

Hence our line has the following equation:

y=5/4 x

6 0

3 years ago

Please help me with this geometry question:((

Eddi Din [679]

Answer:

7.06

Step-by-step explanation:

Write a proportion using similar triangles.

DF / DG = DE / GE

x / 8 = 15 / 17

x = 7.06

5 0

3 years ago

Read 2 more answers

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

3 years ago

WILL GIVE BRAINIEST! WHAT IS THE INVERSE OF Y=4X?

tigry1 [53]

Answer:

Divide each term in yln(4)=ln(x) y ln ( 4 ) = ln ( x ) by ln(4) ln ( 4 ) . Cancel the common factor of ln(4) ln ( 4 ) . Divide y y by 1 1 . Solve for y and replace with f−1(x) f - 1 ( x

Step-by-step explanation:

4 0

3 years ago

Rewrite the expression 13d - (-9d - 4) without parentheses

dimaraw [331]

13d-(-9d-4)
Transfer minus sign to all numbers in parenthesis. = 13d +9d +4 =

Answer: 22d+4

4 0

3 years ago

Read 2 more answers