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3 years ago

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

When a system of equations has an infinite number of solutions, this means that the equations will be identical.

Convert the given equation to y = mx + b form.

2y - 4x = 6

2y = 4x + 6

y = 2x + 3

Answer A, B, and D don't apply.

Answer C is the answer because if it is the same equation but with a negative sign in front of each term. If you switch the signs on every single term, you will have the given equation.

irinina [24]3 years ago

5 0

Answer:

Step-by-step explanation:

A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.

2y - 4x = 6

2y = 4x + 6

2y = 2(2x + 3)

y = 2x + 3

-y = -(2x + 3)

-y = -2x - 3

Hence the other equation is -y = -2x - 3

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Solve with solution...no spam answers pls

Agata [3.3K]

Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.

In Step 1, Hannah wrote $\dfrac{d}{dx} (-3+8x)$ as the sum of two separate derivatives $\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x)$ using the sum rule.

This step is perfectly fine.

In Step 2, $\dfrac{d}{dx}(8x)$ was kept as it is, and $\dfrac{d}{dx}(-3)$ was rewritten as $0$ using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine.

In Step 3, $\dfrac{d}{dx} (8x)$ was rewritten as $\dfrac{d}{dx}(8) \dfrac{d}{dx}(x)$ supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, $\dfrac{d}{dx}(8x)
$ should be rewritten as $8 \dfrac{d}{dx}(x)$ and not as $\dfrac{d}{dx}(8)\dfrac{d}{dx}(x)$ .

Therefore, Hannah made a mistake in this step.

6 0

3 years ago

Read 2 more answers

The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.

lora16 [44]

Answer:

The standard form as $y=5x^2+30x+41$

Step-by-step explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it in standard form that in terms of

Given $y = 5(x+3)^2-4$

Squaring using $(a+b)^2=a^2+b^2+2ab$ , we get,

$y=5(x^2+9+6x)-4$

Multiply 5 inside , we get,

$y=5x^2+45+30x-4$

Solving further , we get,

$y=5x^2+30x+41$

Thus , we have obtained the standard form as $y=5x^2+30x+41$

8 0

2 years ago

Read 2 more answers

Which of the following is not part of the Triangle Proportionality Theorem?

natka813 [3]

Answer:

A. AA Similarity Theorem . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle. True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

A. AA Similarity Theorem

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

B. Two sides divided proportionally.

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

C. A parallel line to one side of a triangle.

TRUE, as the parallel line divides the other two non- parallel sides in equal proportions.

D. A perpendicular line to one side of a triangle.

FALSE, this part is not required anywhere in the given theorem result.

3 0

2 years ago

What is 6pi to the 6 power.

Tomtit [17]

Hey there!

6(3.14)^6

= 6(3.14^6)

= 6(3.14 * 3.14 * 3.14 * 3.14 * 3.14 * 3.14)

= 6(9.8596 * 9.8596 * 9.8596)

= 6(97.21171216 * 9.8596)

= 6(5,750.811583)

≈ 5750.81158328

Therefore, the answer should be:

5,750.81158328

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

1 year ago

Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel?

Papessa [141]

Answer:

185 miles

Step-by-step explanation:

We are given that

Both Kyle and Tyler traveled total distance to the beach=425 miles

Kyle traveled distance to the beach=240 miles.

We have to find the distance traveled by Tyler.

To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.

Let x be the distance traveled by Tyler.

According to question

$x+240=425$

$x=425-240=185$ miles

Hence, Tyler travels distance to the beach=185 miles

4 0

2 years ago

Read 2 more answers