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2 years ago

Which inequality has a solid boundary line when graphed?

1 answer:

4 0

Inequalities are expression not separated by an equal sign. None of the inequality is correct since there is absence of equal sign.

<h3>Graph of inequalities</h3>

Inequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.

An inequality that will have solid boundary line must include only the less than or equal to sign < or greater than or equal to > sign.

From the option given, none of the inequality is correct since there is absence of equal sign.

Learn more on inequality graph here: brainly.com/question/24372553

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You might be interested in

The product of 12 and C is 36 in algebraic form

Lelechka [254]

Answer:

Step-by-step explanation:

12C = 36

3 0

3 years ago

What is the length of AE<br><br> 1. 17.1<br> 2. 23.39<br> 3. 22.9<br> 4. 43.39

jonny [76]

I hope this helps you

17,1/17,1+20=20/20+AE

17,1/37,1=20/20+AE

171/371=20/20+AE

20+AE=20.371/171

20+AE=43,39

AE=23,39

4 0

3 years ago

Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?

kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.

The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0

3 years ago

Write 0.51 as a fraction in simplest form please help!

KonstantinChe [14]

51/100

Explain: you start with 51/100 and that can’t be simplified any further :) hope this helped

4 0

4 years ago

Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}

alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6