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2 years ago

You are painting a rectangular tabletop. The length of the table top is 6 inches less than 3 times the

Mathematics

1 answer:

dedylja [7]2 years ago

3 0

Answer:

Step-by-step explanation:

Let l represent length and w represent width

We know that l = 3w-6

(3w-6)(w) = the area

Use distributive property

$Area = 3w^2-6w$

A is the correct answer

Hope this helps :)

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Kelly makes 70% of her free throws. What's the probability that she makes her next two free throws?

LiRa [457]

Answer:

50 percent because its a 50 50 chance

4 0

3 years ago

Simpliy the ratio 75 to 90 and write it in all forms

seropon [69]

Answer: 5:6, 5/6, etc.

Step-by-step explanation:

The greatest common factor of 75 and 90 is 15. Thus, simply divide both terms by 15 to get 5 and 6. Then simply write this pair in every ratio form.

3 0

3 years ago

Need help ASAP. The diagram shows 5ft student standing near a tree. The shadow of the student and the shadow of the tree at endp

inna [77]

Answer:

The height of the tree = 25 feet

Step-by-step explanation:

From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet

∠AFE = 90° and ∠ACB = 90°

To find : CB, the height of the tree.

Solution : In ΔAEF and ΔAB C

∠AFE = ∠ACB = 90°

∠A is common angle.

So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC

Now, sides of similar triangles are proportional to each other

$\implies\frac{FA}{CA}=\frac{EF}{CB}\\\\\implies \frac{8}{40}=\frac{5}{CB}\\\\\implies CB=\frac{40\times 5}{8}\\\\\implies CB=25$

Hence, The height of the tree = 25 feet

8 0

3 years ago

Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

3 years ago

Solve for x: −2(x + 3) = −2(x + 1) − 4. (1 point)

NeTakaya

Answer:

Hey there!

Let's solve our equation below.

-2(x+3)= -2(x+1)-4

Let's distribute the parentheses.

-2x-6=-2x-2-4

We combine like terms.

-2x-6=-2x-6

We add 6 to both sides.

-2x=-2x

We divide both sides by -2

x=x

If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.

We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.

Therefore, there are infinitely many solutions.

I hope this helps!

8 0

3 years ago