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seropon [69]
3 years ago
7

Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first

hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs.
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0
(1,7)
(2,8)
just add one to  each side

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Oscar is 16 years old and his sister julia is 12 years old.  What will be the ratio of Oscar's age to julia's age in 2 years.  
bulgar [2K]
16+2=18-Oscar's\ age\ in\ 2\ years\\\\12+2=14-Julia's\ age\ in\ 2\ years\\\\Ratio:\\\\\frac{18}{14}=\frac{9}{7}
5 0
3 years ago
A square and a rectangle have equal area.The rectangle is 64 cm by 81 cm. What is the perimeter of the square?
Fittoniya [83]

Answer:

2592 cm

Step-by-step explanation:

square area = x²

rectangle area = bh

so

x² = bh

since the areas are equal

b and h are in the problem as 64 and 81

x² = 64x81

x² = 5184

divide by 2

x = 2592 cm

6 0
3 years ago
Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?
Margarita [4]

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=\sqrt{(4-0)^2+(2-0)^2}=\sqrt20=2\sqrt5

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).





3 0
3 years ago
Evaluate x(-2) - 16<br> When x = 2
Lelu [443]

\huge\text{Hey there!}

\huge\boxed{\rm{x(-2) - 16}}

\huge\boxed{\rm{= 2(-2) - 16}}

\huge\boxed{\rm{= -4 - 16}}

\huge\boxed{\rm{= -20}}

\huge\boxed{\rm{Therefore, your \ answer \ is: -20}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

<h2>~\huge\text{Amphitrite1040:)}</h2>
3 0
3 years ago
Read 2 more answers
Tracy Ate 10 Donuts that Week. Her Brother Ate 5. If Tracy Has Eaten 50 donuts how much donuts would her brother have ate?
Helga [31]
25 since Tracy ate twice as many as her brother.
6 0
3 years ago
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