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Alla [95]
4 years ago
7

What is the constant of proportionality in the equation Y = x/9?

Mathematics
1 answer:
goldfiish [28.3K]4 years ago
4 0

Answer:

\frac{1}{9}

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Given

y = \frac{x}{9} = \frac{1}{9} x ← in form y = kx

with k = \frac{1}{9}

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What is the Y value of the point that Partitions the directed line segment A.B. into a 1:3 ratio
xenn [34]

Answer:

y = 5

Step-by-step explanation:

AB = | 8 - (- 4) | = | 12 |= 12

Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4

12 ÷ 4 = 3

Thus

y = 8 - 3 = 5

5 0
3 years ago
Find the exact value of sin 105 degrees​
STALIN [3.7K]

Answer:

\frac{\sqrt{6}+\sqrt{2}}{4}

Step-by-step explanation:

I'm going to write 105 as a sum of numbers on the unit circle.

If I do that, I must use the sum identity for sine.

\sin(105)=\sin(60+45)

\sin(60)\cos(45)+\sin(45)\cos(60)

Plug in the values for sin(60),cos(45), sin(45),cos(60)

\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\frac{1}{2}

\frac{\sqrt{3}\sqrt{2}+\sqrt{2}}{4}

\frac{\sqrt{6}+\sqrt{2}}{4}

4 0
3 years ago
Read 2 more answers
Sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels. Sandy says the mean of the data is 4. Is Sandy correct?
diamong [38]
If sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels, the mean of the data would be 4. So yes sandy is correct.
7 0
3 years ago
Read 2 more answers
How u do ratios and divide because i have bad memories and its to many steps?
Drupady [299]
It depends on the question, but if the questions is sort of like "Person A and Person B shared 40 sweets in the ratio 3:5, how many sweets did Person A get" then you add 3 and 5 to get 8, and then you do 40 ÷ 8 to get 5 which is 1 in terms of the ratio. Then, you would multiply 5 by 3 to get 15 sweets. If it's a different type of question then let me know so I can help out :)
5 0
3 years ago
Question 1 (1 point)<br> Which equation can be represented by a graph with a vertex at (1,3)?
madam [21]

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

f(x) = a {(x - h)}^{2}  + k

Then (h,k) is the vertex, and 'a' is a constant.

For instance

f(x) = 5 {(x - 1)}^{2}  + 3

has vertex at (2,3).

Also, an absolute function in the form

g(x) = a  |x - h|  + k

has vertex at (h,k).

This means

g(x) =   |x - 1|  + 3

also has vertex at (1,3).

I hope this explanation is helpful.

4 0
4 years ago
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