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ryzh [129]
3 years ago
8

Please simplify.

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0
It’s A. Your welcome
vladimir2022 [97]3 years ago
7 0

Answer:

\large\boxed{A.\ y^3}

Step-by-step explanation:

\text{Use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\\dfrac{y^{10}}{y^7}=y^{10-7}=y^3

\text{Other method:}

\text{We know:}\ a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}\\\\y^{10}=\underbrace{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}_{10}\\\\y^7=\underbrace{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}_7}

\dfrac{y^{10}}{y^7}=\dfrac{y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\cdot y\cdot y}{y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup\cdot y\!\!\!\!\diagup}=y\cdot y\cdot y=y^3

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Through(-2,-3); parallel to 3x+2y=5
Vilka [71]

Step-by-step explanation:

Hey there!

<u>Firstly </u><u>find </u><u>slope </u><u>of</u><u> the</u><u> </u><u>given</u><u> equation</u><u>.</u>

Given eqaution is: 3x + 2y = 5.......(i)

Now;

slope(m1) =   \frac{ - coeff. \: of \: x}{coeff. \: of \: y}

or \: m1 =  \frac{ - 3}{2}

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

(y + 3) =  \frac{ -  3}{2} (x + 2)

~ Simplify it.

2(y + 3)  = - 3x - 6

2y + 6 =  - 3x - 6

3x  + 2y + 12 = 0

Therefore, the eqaution of the line which passes through the point (-2,-3) and parallel to 3x + 2y= 5 is 3x + 2y +12 =0.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
2 years ago
Read 2 more answers
−3(x + 3) = −3(x + 1) − 5.
tatyana61 [14]

Answer:

No solution

Step-by-step explanation:

-3x-9=-3x-3-5

-3x-9=-3x-8

-9=-8

4 0
2 years ago
Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
7 0
2 years ago
Which of the following is a solution to the equation y = 3x - 1 ?
CaHeK987 [17]
To solve this question all you have to do is input the X and y coordinates and test each point in the question. To see which of those points. Have the left hand side equal to the right hand side after doing all of the operations.
5 0
3 years ago
Read 2 more answers
Combine like terms. 5y - 8 - y
Svetlanka [38]
<h3>Question:-</h3>
  • Combine like terms. 5y - 8 - y

<h3>Answer:-</h3>
  • here like terms are 5y,-y
  • solving like terms
  • 5y-y-8(subtracting 5y-y)
  • 4y-8

hence the combination=

\bold {4y - 8}

All the best !

4 0
2 years ago
Read 2 more answers
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