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cestrela7 [59]
3 years ago
7

Please help, I will give brainliest.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

b = 30 / a

which agrees with the third expression in the list of possible options

Step-by-step explanation:

When we say that a and b vary inversely, that means that in mathematical form:

b = k / a  where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):

5/2 = k / 12

Then, solving for "k":

5 * 12 / 2 = k

60 / 2 = k

k = 30

Then we can now write the function that models this inverse variation:

b = k / a

b = 30 / a

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Help me with my math quiz from friday 4/1 <br> SHOW STEPS
malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

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4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

\rightarrow\sf{7x - 4=87}

\rightarrow\sf{7x =87+4}

\rightarrow\sf{7x =91}

\rightarrow\sf{x =\frac{91}{7}}

\rightarrow\boxed{\bf{x =13}}

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}

\rightarrow\boxed{\bf{circumference=106.8ft}}

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

\rightarrow\sf{6x - 16 = 180-160}

\rightarrow\sf{6x - 16 = 20}

\rightarrow\sf{6x = 20+16}

\rightarrow\sf{6x =36}

\rightarrow\sf{x =\frac{36}{6}}

\rightarrow\boxed{\bf{x =6}}

8 0
2 years ago
8 is what percent of 16?
MrMuchimi

Answer:

50% please thanks thanks thanks

6 0
3 years ago
Read 2 more answers
What is the correct answer?
lyudmila [28]

Answer:

a= -b+z^6  and b= -a+z^6

Step-by-step explanation:

simplify both sides of the equation then isolate each variable

3 0
3 years ago
Express 72 as a product of its prime factors.
ASHA 777 [7]
The trick is to just keep factoring out 2 until you get all prime numbers.

72 = 36 * 2
36 = 18 * 2
18 = 9 * 2
9 = 3 * 3

Therefore, the answer is:
72 = 2 * 2 * 2 * 3 * 3

Hope this helps
3 0
3 years ago
Consider the point (-6,3) and line L: 4x-3y=5. Write an equation (a) for the line passing through this point and parallel to L,
Kobotan [32]

4x - 3y =5

3y = 4x - 5

y = 4/3 x - 5/3

Equation of the line passing through the point (-6,3) and parallel to L

a) Parallel lines have same slope so slope = 4/3

y - 3 = 4/3(x + 6)

y - 3 = 4/3 x + 8

y = 4/3 x + 11

Answer:

Equation y = 4/3 x + 11

b) Perpendicular lines, slope is opposite and reciprocal so slope = -3/4

y - 3 = -3/4 (x + 6)

y - 3 = -3/4 x - 4.5

y = -3/4 x - 1.5

Answer:

Equation y = -3/4 x - 1.5

3 0
3 years ago
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