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irina [24]
2 years ago
5

Y varies directly as x and y =18 when x=1/2 write an equation that relates y and x

Mathematics
1 answer:
marusya05 [52]2 years ago
6 0

Answer:

y = 36x

Step-by-step explanation:

Given that y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 18 when x = \frac{1}{2}, thus

k = \frac{y}{x} = \frac{18}{\frac{1}{2} } = 36

y = 36x ← equation of variation

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write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

8 0
2 years ago
For each of the following numbers, write 4 decimals that would round to this whole number when rounde to the nearest whole numbe
Natalka [10]
Round to the nearest whole number:

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c) 32 ⇒ 31.5 ; 31.9 ; 32.1 ; 32.4
d) 50 ⇒ 49.5 ; 49.9 ; 50.1 ; 50.4
e) 67 ⇒ 66.5 ; 66.9 ; 67.1 ; 67.4
f) 71 ⇒ 70.5; 70.9 ; 71.1 ; 71.4
g) 88 ⇒ 87.5; 87.9 ; 88.1 ; 88.4
h) 95 ⇒ 94.5; 94.9 ; 95.1 ; 95.4

If the following number is within the range of 1 to 4 then round down.
<span>If the following number is within the range of 5 to 9 then round up.</span>
8 0
3 years ago
Evaluate 9P2- need to make a good grade
Svetllana [295]
81, if you mean 9 Squared.
3 0
3 years ago
What are some ways in which you are surrounded by political messages?
stiks02 [169]

life: people tell others all the time how they feelwhethe it is appropriate or not.

7 0
2 years ago
Plz help<br> Find the surface area of the prism.
maw [93]

Answer:

920ft^2

Step-by-step explanation:

20*17=340

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60*2=120

8*20=160

340+300+120+160= 920 ft^2

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2 years ago
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