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IgorC [24]
3 years ago
10

Explain what it means for x and y to vary directly​

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

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The hypotenuse of a right triangle is 5m long. The shorter leg is 1m shorter than the longer leg. Find the side lengths of the t
Vesna [10]

Answer:

Longer Leg = 5

Shorter Leg = 144

Hypotenuse = 169

Step-by-step explanation:

5 0
2 years ago
Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and
Leya [2.2K]

Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

    = 3cos0 +2

     = 3(1) +2

     = 3 +2

     = 5 !

7 0
3 years ago
Evaluate 5 + 6 · 2 – 8 ÷ 4 + 7 using the correct order of operations.
allsm [11]

Answer:

22

Step-by-step explanation:

5+12-2+7

17-2+7

15+7

22

6 0
3 years ago
HELP PLEASE!!
seropon [69]

Answer:

BD = <u>1</u> unit

AD = <u>1</u> unit

AB = <u>1.6</u> units

AC = <u>1.6</u> units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C  = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D =  180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

3 0
3 years ago
2,3,5,9,17 what’s the pattern?
azamat

2,3,5,9,17 what’s the pattern?

The pattern is multiply by 2 then subtract 1

2 x 2 - 1 = 4 - 1 = 3

3 x 2 - 1 = 6 - 1 = 5

5 x 2 - 1 = 10 - 1 = 9

9 x 2 - 1 = 18 - 1 = 17

17 x 2 - 1 = 34 - 1 = 33

33 x 2 - 1 = 66 - 1 = 65

65 x 2 - 1 = 130 - 1 = 129

7 0
3 years ago
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