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tensa zangetsu [6.8K]
3 years ago
9

Define two terms, each containing the variables x and y, with exponents on each. (For example: 10x3y−5.) Find the quotient of th

e two terms. Explain step by step how you found the quotient.
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:Two such terms are 7x^3*y^9 and -3x*y^5

Their quotient is

7x^3*y^9

--------------

-3x*y^5

This can be simplified as follows:

The numerical coefficients become -7/3.

x^3/x = x^3*x^1 = x^(3 - 1) = x^2 (we subtract the exponent of x in the denominator from the exponent of x in the numerator).

Next, y^9*y^5 = y^4.

The quotient in final reduced form is then (-7/3)x^2*y^4

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5 times 3 2/5 I need help pls k have school soon
timama [110]
5 times 3 is 15! i’m confused at the rest of the question!
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2 years ago
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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
Solve the equation<br> 7h-5(3h-8) = 72
frosja888 [35]

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

3 0
3 years ago
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Help my on these two questions plss
Mariana [72]

7. Loan amount = $12000

Monthly payment = $380

Duration of the repayment = 3 years = 3(12) = 36 months.

Total amount Jason repaid = 36 × 380 = 13680

Interest on loan amount = amount repaid - loan amount

= 13680 - 12000

= 1680

Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).


8. Loan amount = $35000

Monthly payment = $315

Duration of the repayment = 10 years = 10(12) = 120 months.

Total amount Gerald repaid = 120 × 315 = 37800

Interest on loan amount = amount repaid - loan amount

= 37800 - 35000

= 2800

Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).

3 0
3 years ago
What is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter
kodGreya [7K]

Answer: 25.5 m^{3}

Step-by-step explanation:

If the volume of a sphere is

V=\frac{4}{3} \pi r^{3}

Where r=2.3 m is the radius

The volume of a hemisphere is half the volume of the total sphere:

V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}

V_{hemisphere}=\frac{2}{3} \pi r^{3}

Solving this equation:

V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}

Finally:

V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}

5 0
3 years ago
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