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2 years ago

Evaluate (2.4x10^4) (4.5x10^3)

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

6 0

Answer:

108000000x^2

Step-by-step explanation:

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Help I literally don’t understand

STatiana [176]

Can you get a better shot of the problem?

5 0

3 years ago

What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

$Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

$AB = \sqrt{(11-4)^{2}+(3-3)^{2}}$

$AB = \sqrt{(7)^{2}+(0)^{2}}$

$AB = \sqrt{49}$

$\sqrt{49} =7$

AB = 7 units

As take B(11, 3) to C (11, 9).

$BC = \sqrt{(11-11)^{2}+(9-3)^{2}}$

$BC = \sqrt{(0)^{2}+(6)^{2}}$

$BC = \sqrt{36}$

$\sqrt{36} =6$

BC = 6 units

As take C (11, 9) toD (4, 9).

$CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}$

$CD = \sqrt{(7)^{2}+(0)^{2}}$

$CD = \sqrt{49}$

$\sqrt{49} =7$

CD = 7 units

As take D (4, 9) to A (4, 3)

$DA = \sqrt{(4-4)^{2}+(3-9)^{2}}$

$DA = \sqrt{(0)^{2}+(-6)^{2}}$

$DA = \sqrt{36}$

$\sqrt{36} =6$

DA = 6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value in the above

Area of rectangle = 7 × 6

= 42 units ²

Therefore the area of a rectangle is 42 units ².

6 0

3 years ago

Read 2 more answers

Find the solution to Y=-x^2+3 for X=-3,0, and 3

BabaBlast [244]

Answer:

3-,3,0,3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)

Sedaia [141]

Answer:

Implicit function

$\frac{d y}{d x} = \frac{-1}{2y}$

Step-by-step explanation:

Explanation:-

Given y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

$2 y \frac{d y}{d x} +1 = 0$

⇒ $2 y \frac{d y}{d x} = -1$

⇒ $\frac{d y}{d x} = \frac{-1}{2y}$

$\frac{d y}{d x} = \frac{-1}{2 (3)}$

$\frac{d y}{d x} = \frac{-1}{6}$

4 0

3 years ago

How do you Simplify x/7x +x^2

tekilochka [14]

I'm assuming you meant to write $\frac{x}{7x+x^2}$

If so, then factor out an 'x' from the denominator and cancel

 $\frac{x}{7x+x^2}$

 $\frac{x}{x(7+x)}$

 $\frac{1}{7+x}$

So the answer is $\frac{1}{7+x}$

4 0

3 years ago