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Ainat [17]
3 years ago
10

Write an expression that shows how you can multiply 9x475 using expanded form and the distributive property

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
9 x (400 + 75)
3 (3) x 100 (4.75)


For example:
20,484,163 in expanded form

2 ten million and 0 one million and 4 hundred thousand and 8 ten thousand and 4 one thousand and 1 hundreds and 6 tens and 3 ones.

or

<span>2 x 10,000,000 + 0 x 1,000,000 + 4 x 100,000 + 8 x 10,000 + 4 x 1,000 + 1 x 100 + 6 x 10 + 3 x 1</span>
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If john can run 6 yards in 10 seconds, how far can he run in miles per hour?
frutty [35]

Answer:

600 yd none in miles

Step-by-step explanation:

8 0
4 years ago
Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? G
son4ous [18]

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

4 0
3 years ago
Quick please!
Soloha48 [4]

Answer:

3(4j + 7 + 2j)

12j + 21 + 6j

12j + 6j + 21

18j + 21 ----- (1)

3(6j +7)

18j + 21 --------(2)

eq 1 = eq. 2

both are equal

5 0
2 years ago
Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π
gtnhenbr [62]

Answer:

\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\

\frac{dy}{dx} = \frac{-1}{sin y}  \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}

Therefore;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }

Since x = cos y from the above substitute;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }

Hence, \frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} } gives the required proof

5 0
4 years ago
solve the system of equations using substitution. 3 multiplied by y equals negative the quantity 1 divided by 2 end of quantity
Bas_tet [7]
3y = -1/2x + 2 . . . . . . . . (1)
y = -x + 9 . . . . . . . . (2)
substituting (2) into (1), we have
3(-x + 9) = -1/2x + 2
-3x + 27 = -1/2x + 2
-1/2x + 3x = 27 - 2
5/2x = 25
x = (2 x 25)/5
x = 10
From (2)
y = -10 + 9
y = -1
solution (10, -1)
6 0
4 years ago
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