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4 years ago

Which best explains the relationship between lines a and b?

Mathematics

2 answers:

Tema [17]4 years ago

5 0

Answer: They are skew and will never instersect.

Step-by-step explanation: First of all, they will never instersect because they are in the parallel planes. They are also skew because in the 3 dimensional geometry, they are also not parallel because they can be different directions.

kifflom [539]4 years ago

5 0

Answer:

<h2>They are skew and will never intersect.</h2>

Step-by-step explanation:

WE know that lines are in different planes which are parallel, this means that those planes have the same angle of direction.

If planes are parallel, then all lines inside them are skew, that is, line a and line b will never intersect and they aren't necessarily has to be parallel.

For example, imagine you are in a apartment, parallel planes are the roof and the floor, they are parallel, that is, the will never intersect each other. So, if you have a ruler attached to the roof and another ruler on the floor, you will see that those rulers are not necessarily parallels, and they won't intersect each other because, they have the same angle of direction.

Therefore, the right answer is "They are skew and will never intersect"

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Julius has a garden that has dimensions of 12 ft by 20 ft. Julius needs more room to plant some peppers, and determines the gard

alukav5142 [94]

Answer:

C. 3.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' feet.

As, the length and width of the garden are 20 ft and 12 ft respectively.

It is given that the area of the new garden is 360 ft²

Since, the length and width are increased by 'x'.

The new length and width are (x+20) ft and (x+12) ft respectively.

So, we get,

New area, $A_{G}$ = length × breadth = (x+20) × (x+12)

i.e. 360 = $x^{2}+32x+240$

i.e. $x^{2}+32x-120=0$

i.e. (x+35.4)(x-3.4)=0

i.e. x = -35.4 and x= 3.4

Since, the value of x cannot be negative.

Thus, x = 3.4 feet.

5 0

3 years ago

Practice writing and solving quadratic equations.

liberstina [14]

Answer:

$\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }$

Step-by-step explanation:

Hello,

We need to use the <u>distributive property</u> which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

$x(x+1)=72\\ x*x+x*1=72\\ x^2 + x -72 = 0\\$

do not hesitate if you have any question

8 0

3 years ago

Giving away points! <br> =D

Rzqust [24]

Answer:

Thanks you very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very very much for points

6 0

3 years ago

Read 2 more answers

What multiplied by itself 3 times gives you -216 please answer asap!!!

AlexFokin [52]

Answer:

-6

Step-by-step explanation:

given

x³ = -216

x = (-216)^⅓

factorize

x = [(-6)×(-6)×(-6)]^⅓

x = -6

4 0

3 years ago

Read 2 more answers

The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.

Alexxandr [17]

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (57.5 - 42.5)/(9 - 3)

m = 15.0/6

m = 2.5

The slope is 2.5

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

8 0

2 years ago