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3 years ago

Answers for the 2 boxes please:)

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer:

(5,-5)

Step-by-step explanation:

Eliminate y-term

$(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5$

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

Substitute x = 5 in any given equations.

I will choose to substitute in the first equation.

$2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5$

Answer Check

Substitute both x-value and y-value in any given equations

$2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25$

The equation is true. (It is better to check both the answer for both equation.)

Thus the answer is (5,-5)

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3/x^2-1 - 2(x+3) = 5/x+1

weqwewe [10]

Answer:

X=1.132589

Step-by-step explanation:

If im correct the answer would be x=1.132589

x2−1

−2(x+3)=

x+1

(x+1)(x−1)

+−2x−6=

x+1

Multiply all terms by (x+1)(x-1) and cancel:

3+(−2x−6)(x+1)(x−1)=5(x−1)

−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)

−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)

−2x3−6x2−3x+14=0

(Use cubic formula)

x=1.132589

And dont forget to check your answer

3 0

2 years ago

Find dy/dx by implicit differentiation.

kow [346]

dy/dx by implicit differentiation is cos(πx)/sin(πy)

<h3>How to find dy/dx by implicit differentiation?</h3>

Since we have the equation

(sin(πx) + cos(πy)⁸ = 17, to find dy/dx, we differentiate implicitly.

So, [(sin(πx) + cos(πy)⁸ = 17]

d[(sin(πx) + cos(πy)⁸]/dx = d17/dx

d[(sin(πx) + cos(πy)⁸]/dx = 0

Let sin(πx) + cos(πy) = u

So, du⁸/dx = 0

du⁸/du × du/dx = 0

Since,

du⁸/du = 8u⁷ and

du/dx = d[sin(πx) + cos(πy)]/dx

= dsin(πx)/dx + dcos(πy)/dx

= dsin(πx)/dx + (dcos(πy)/dy × dy/dx)

= πcos(πx) - πsin(πy) × dy/dx

So, du⁸/dx = 0

du⁸/du × du/dx = 0

8u⁷ × [ πcos(πx) - πsin(πy) × dy/dx] = 0

8[(sin(πx) + cos(πy)]⁷ × (πcos(πx) - πsin(πy) × dy/dx) = 0

Since 8[(sin(πx) + cos(πy)]⁷ ≠ 0

(πcos(πx) - πsin(πy) × dy/dx) = 0

πcos(πx) = πsin(πy) × dy/dx

dy/dx = πcos(πx)/πsin(πy)

dy/dx = cos(πx)/sin(πy)

So, dy/dx by implicit differentiation is cos(πx)/sin(πy)

Learn more about implicit differentiation here:

brainly.com/question/25081524

#SPJ1

6 0

2 years ago

What are the median mode and range of the data set 16,17,17,17,19,21,23,24

Sav [38]

Mode 17,
Mean is 19.3
Median 18.

3 0

3 years ago

The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it

mash [69]

An expression that represents the perimeter of the rectangle would be:

P = 2(3n+2) + 2(n-1)

Hope this helps!

5 0

3 years ago

I need to know how to solve this

ahrayia [7]

Answer:

To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.

Hope this helps, ask if you have any more questions!

8 0

2 years ago

Answers for the 2 boxes please:)​

Answers for the 2 boxes please:)