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galina1969 [7]
2 years ago
15

Determine the value of the ?

Mathematics
1 answer:
goblinko [34]2 years ago
5 0

Answer:

x^{2} y^{3}

Step-by-step explanation:

Using the Quotient rule:

\frac{a^{m}}{a^{n}} = a^{m - n}

We can subtract the exponents of x and y:

\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}

Therefore, \frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}

Please mark my answers as the Brainliest if you find this explanation helpful :)

You might be interested in
The Chinese Buffet costs $9.95 a person. Johnny, his mother, and his father have dinner there, They receive a 25% discount. What
zysi [14]

Answer:

$22.39

Step-by-step explanation:

Cost of all meals = $9.95 * 3 = $29.85

Amount of discount = 25/100 * $29.85 = $7.46

Bill = $29.85 - $7.46 = $22.39

hope it helps :)

6 0
3 years ago
The y -intercept of the line whose equation is x - y = -1 is<br><br> 0<br> 1<br> -1
Feliz [49]

Answer:

1

Step-by-step explanation:

y- intercept occurs at x= 0. Thus, the y-intercept of a line can be found by substituting x= 0 into it's equation.

x -y= -1

When x= 0,

0 -y= -1

-y= -1

Divide both sides by -1:

y= -1 ÷(-1)

y= 1

Thus, the y-intercept is 1.

8 0
2 years ago
Which statement is true?
Nadusha1986 [10]

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

5 0
3 years ago
If x = -6 and y = -2, evaluate the expression.<br> 3x - 10<br> y-5
Bond [772]
Is it
3x-10= 3(-6)-10= -28
Y-5= -2-5=-7
3 0
3 years ago
Find the 64th term of the following arithmetic sequence.<br> 8,11,14,17
ruslelena [56]

Answer: 197

Step-by-step explanation:

The nth term is 3n+5

so the 64th term will be

(3 x 64)+5

192+5

= 197

7 0
3 years ago
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