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Anton [14]
3 years ago
15

If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Mathematics
1 answer:
Zanzabum3 years ago
8 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] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill

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How many square meters in a room of such dimensions 5/3/4?
sdas [7]

Answer: 3.75 Square Meters

Step-by-step explanation: I am not sure exactly what you asked for here, I chose to take it as the one wall being 5 meters long, and the other being 3/4 meter long. If this was the right senario, then what you would do to solve it, and what I did, is just multiply 5*3/4 or if it makes it simpler, 5*.75

5 0
2 years ago
Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft
victus00 [196]
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
5 0
3 years ago
If one quart is the same amount as 2 pints, how many are in 8 quearts?
Verizon [17]

Answer

16 pints

Step-by-step explanation:

its basically 8x2

6 0
3 years ago
Simplify (2sq root 5-4) (3sq root 5-2)
tatuchka [14]

Answer:

2√5-4(3√5-2)

6√25-4√5-12√5+8

6(5)-16√5+8

30+8-16√5

38-16√5

7 0
3 years ago
Please help:((
kolezko [41]

Answer:

1/8 = 0.125

3/5= 0.60

30%=0.3

0.45=9/20

1.5=150%

Hey try to do these question by your self next time OwO

4 0
3 years ago
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