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3 years ago

An office suply store sold 410,309 pencils last year. what is the expanded form of 410,309?

Mathematics

1 answer:

lions [1.4K]3 years ago

8 0

Answer:

400000 + 10000 + 300 + 9

Step-by-step explanation:

Just simply take each place value and turn the rest after to zeros, but DO NOT include the zeros that are within the number. Zeros are unnecessary.

I am joyous to assist you anytime.

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To the nearest tenth, find the perimeter of ABC with vertices A(-1,4), B(-2,1) and C(2,1). show your work

liubo4ka [24]

we have to firstly apply the distance formula to find the length of sides of the triangle

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

So length AB = $\sqrt{(-2-(-1))^2+(1-4)^2}= \sqrt{1 +9}=\sqrt{10}$

BC= $\sqrt{(2-(-2))^2+(1-1)^2}= \sqrt{16+0}=4$

AC = $\sqrt{(2-(-1))^2+ (1-4)^2}= \sqrt{9+9}=\sqrt{18}=3\sqrt{2}$

Now perimeter = AB+BC+AC = $\sqrt{10}+4+3\sqrt{2}$

Plug in calculator

perimeter= 11.4 units

7 0

3 years ago

A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.

snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

$m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}$

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

$y= \frac{4}{3}x+b$

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

$y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0$ ..

7 0

3 years ago

The Owens family has saved up $50,000 for a down payment on a house. They are going to use this money as the %10 down payment th

fenix001 [56]

The price of the house is $500,000.

4 0

2 years ago

What is the missing constant term in the perfect square that starts with x^2-20xx 2 −20xx, squared, minus, 20, x ?

tangare [24]

Answer:

Missing constant: 100

Step-by-step explanation:

perfect square (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

(x - 10)^2 = x^2 - 20x + 100

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2 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

balu736 [363]

The tangent line to the curve can be determined by implicitly differentiating the equation of the curve. In this case, with the equation y sin 12x = x cos 2y, (π/2, π/4), the implicit differentiation is 12 y cos 12x dx + sin 12 x dy = -2x sin 2y dy + cos 2y dx; dx (12 y cos 12x - cos 2y) = dy (-2x sin 2y - sin 12x). Hence

y' = (12 y cos 12x - cos 2y) / (-2x sin 2y - sin 12x)

6 0

3 years ago