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3 years ago

Which expression shows the result of applying the distributive property to 3(1/5x − 1/7)?

Mathematics

2 answers:

Akimi4 [234]3 years ago

7 0

3/5x−3/7. I just got this question wrong and this was the answer they gave

elena55 [62]3 years ago

4 0

The expression that shows the result of applying the distributive property to 3(1/5x − 1/7) is:

3/5(x) - 3/7

I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions here in Brainly.

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Step-by-step explanation:

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Limit definition for slope of the graph, equation of tangent line point for f(x)=2x^2 at x=(-1)

Tems11 [23]

The slope of the tangent line to $f$ at $x=-1$ is given by the derivative of $f$ at that point:

$f'(-1)=\displaystyle\lim_{x\to-1}\frac{f(x)-f(-1)}{x-(-1)}=\lim_{x\to-1}\frac{2x^2-2}{x+1}$

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$2x^2-2=2(x^2-1)=2(x-1)(x+1)$

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$\dfrac{2x^2-2}{x+1}=\dfrac{2(x-1)(x+1)}{x+1}=2(x-1)$

Then

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3 years ago

Question included in the image - geometry problem.

iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that L₁ || L₂:

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.

Also, ∠y° and ∠2x° are same-side interior angles formed by the intersection of the hypotenuse of the triangle that acts as a transversal to the parallel lines, L₁ and L₂. Given that ∠y° and ∠2x° are same-side interior angles, then it means that they are the supplements of each other, such that the sum of their measures is 180°.

Now that we have established these definitions, we can proceed with the solution.

Equation 1: ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

Equation 2: ∠y° = ∠x° + ∠84° ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° + ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

$\frac{3x}{3} = \frac{96}{3}$

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° = ∠x° + ∠84°

∠y° = ∠32° + ∠84°

∠y° = 116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° = ∠x° + ∠84°

116° = 32° + 84°

116° = 116° (True statement)

Therefore, the correct answer is: y = 116°.

5 0

2 years ago