Y varies directly as x. if x = 10 when y = 40, find x when y = 200.

Mathematics

1 answer:

KiRa [710]4 years ago

6 0

Answer:

x = 50

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

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

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In ΔABC, if AB = 14 and BC = 9, AC may be equal to

Pie

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

<em>The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides</em>

If the lengths of the three sides of a triangle are a , b and c, then

a - b < c < a + b
b - c < a < b + c
a - c < b < a + c

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

than 5 and smaller than 23

∴ 5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

5 0

3 years ago

Read 2 more answers

Can someone please help me out with this! Im struggling a lot with this!<br> x=1 <br> y=-5

Alla [95]

Answer: See attached.

Step-by-step explanation:

When we have a simple x = a equation, the line will be vertical since all y values of that function/equation are equal to a. In this case, that is 1.

Similar thing for a y = b equation. The line will be horizontal since all x values of that function/equation are equal to b. In this case, that is -5.