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Levart [38]
2 years ago
7

Which description best compares the graphs given by the equations:

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
<u>+5               +5</u><u>
</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

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aleksandrvk [35]

Answer:

Correct answer is C)\ 254\ m^{2}

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is <em>14m</em>.

<em>Side of base</em> = <em>10m </em>

Height of Triangular base = <em>8.7m</em>

Formula for <em>surface area of triangular pyramid</em>:

\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}

\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}

Hence correct answer is C)\ 254\ m^{2}.

3 0
2 years ago
Which contract costs more per month? An 18 month cable contract for $2070 or a 12 month contract at $1776? Which is the better d
Dafna1 [17]

Answer:

Contract A is cheaper because $115 per month is less than $148 per month

Step-by-step explanation:

To find the unit price we divide the total cost given by the total months given for each contract to find out the cost per month.

$2070/18 months = $115 per month

$1776/12 months = $148 per month

Contract A is cheaper because $115 per month is less than $148 per month

7 0
3 years ago
What operation do you use to convert 50 cups to gallons?
zzz [600]
Division can be used. For example

50/16=3.125gallons

or you could use multiplication

50*1/16=3.125gallons


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2 years ago
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The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
GarryVolchara [31]

Answer:

\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height

Given:

  • area = 18 cm²
  • base = 6 cm
  • height = (h + 1) cm

Substitute the given values into the equation and solve for h:

\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)

\sf \implies 18 = \sf \dfrac62 (h+1)

\sf \implies 18 =3(h+1)

expand using distributive property of addition a(b+c)=ab+ac:

\sf \implies 18=3h+3

subtract 3 from both sides:

\sf \implies 3h=15

divide both sides by 3:

\sf \implies h=5

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

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OverLord2011 [107]

 aline it like that then do 6×0 then put that answer ,you know what I'm jut going to show you.                                       60×

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                                                            360                   

                                                             600   

                                                              ↑then add 360 and 600 and that's all. Sorry that the numbers look all funny.



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