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3 years ago

15

Subtracting 3xy^2 from 8xy^2 gives the same result as the expression as

2 answers:

anastassius [24]3 years ago

8 0

8xy^2 - 3xy^2 = 5xy^2

7xy^2 - 2xy^2 = 5xy^2

miskamm [114]3 years ago

3 0

When you subtract 3xy^2 from 8xy^2, you will get the result 5xy^2. And so if you subtract 2xy^2 from 7xy^2, you will also get 5xy^2. So the answer is C. 7xy^2 - 2xy^2

8xy^2 - 3xy^2
Subtract
Final Answer: 5xy^2

7xy^2 - 2xy^2
Subtract
Final Answer: 5xy^2

The answer is C because both expression's results match.

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

$3(x + 2) + x = 2x + 16$

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

$3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20$

Putting x = 3

$3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22$

Putting x=4

$3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24$

Putting x = 5

$3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26$

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0

2 years ago

The advertised size of a computer or television screen is actually the length of the diagonal of

andreyandreev [35.5K]

Answer:

37.5 cm

Step-by-step explanation:

See attached for reference.

let the diagonal be x,

By Pythagorean formula:

x² = (22.5)² + (30)²

x = √[(22.5)² + (30)²]

x = 37.5 cm

4 0

3 years ago

Y+5=-11<br> What does y equal?

Brut [27]

Y+5=-11
-5 -5
Y= -16

Answer:-16

8 0

3 years ago

49784^5-5 help me please? exact and decimal form

Elan Coil [88]

The answer to this question is:

305808068601324999999995 and 3.05808068 * 10^23

4 0

3 years ago