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Dvinal [7]
2 years ago
6

Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

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Please give me the correct answer ​
Furkat [3]

Answer:

A

Step-by-step explanation:

1 over 10x10x10 is basically, 10 to the power of 3. 10x10 is 100, and 100x10 is 1000. An easy way to do this. Since we have 3 tens, we start with 10, then add a 0, then add another 0. Gives you 1000.

3 0
2 years ago
Select all possible values for x in the equation x^3=375?
Helga [31]
<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, 5\sqrt[3]{3}

Second option,  \sqrt[3]{375}

<h2>Why?</h2>

To solve the problem, we need to remember the following properties of the exponents and roots:

a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}

Then, we are given the expression:

x^{3}=375

So, finding "x", we have:

x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}

Hence, the possible values for x in the equation, are:

First option, 5\sqrt[3]{3}

Second option,  \sqrt[3]{375}

Have a nice day!

7 0
3 years ago
A circle has a diameter of 12 feet. What is the circumference of the circle?
Lady bird [3.3K]

Answer:

B). 37.68 feet.

Step-by-step explanation:

Circumference = diameter *  π

= 12 * π

=  37.68 feet.

5 0
2 years ago
A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolate
loris [4]

Answer: 21:84

Explanation:

84-63=21, and then just do 21:84 lol

3 0
2 years ago
Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged t
inessss [21]

Answer:

static electricty

Step-by-step explanation:

it is preserved charge

3 0
2 years ago
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