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Oksana_A [137]
3 years ago
12

The graph of an equation representing a direct variation passes through the point (6, 10). Give another point with integral coor

dinates that is also on the graph of this equation.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{6},\stackrel{y}{10})\qquad \textit{we know that } \begin{cases} x=6\\ y=10 \end{cases}\implies 10=k6\implies \cfrac{10}{6}=k\implies \cfrac{5}{3}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{5}{3}x}

to get another point, we simply can pick a random <u>independent variable</u>, namely "x", say hmmmm x = 9, thus

\bf y=\cfrac{5}{3}(\stackrel{\stackrel{x}{\downarrow }}{9})\implies y=5\cdot \cfrac{9}{3}\implies y=10~\hspace{7em}\boxed{(9, 10)}

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Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) \pi + (-\pi) = 0

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

1 - 2 = -1

5 - 5 = 0

\frac{1}{2} - \frac{1}{4} = \frac{1}{2}

4 - 2 = 2

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

In the given options (a) to (d), only

\pi + (-\pi) = 0 is not close under addition because:

\pi is irrational while 0 is rational

<em>In other words, they belong to different set</em>

8 0
2 years ago
ms.tran has 1/3 of a tank of gas in her car.if the tank holds 14 1/3 gallons sbout how much does she have?
Paraphin [41]

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3 0
3 years ago
Use the equation below to find T, if w=85, m= 12, and a=3.<br> T=w-ma<br> T = 3,060<br> X<br> ?
saw5 [17]

Answer:

T = 49

Step-by-step explanation:

T = w - ma

w = 85

m = 12

a = 3

Plug in the corresponding numbers to the corresponding variables:

T = (85) - (12) * (3)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, multiply, then subtract:

T = 85 - (12 * 3)

T = 85 - 36

T = 49

T = 49 is your answer.

~

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2 years ago
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solniwko [45]

SeconAnswer:

Step-by-step explanation:

First question answer is 390.66 m

1 mile_1609.34 m

1000m=1km

2km=2x1000=2000m

2000km - 1609.34m=390.66m

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3 0
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