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Aneli [31]
2 years ago
10

What does the k value do to any function?

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
4 0

Answer:

k moves the value up or down

Step-by-step explanation:

PS: Just listened to the lecture :)

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It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from
Gennadij [26K]

Answer:

correct option is  C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first  \angle B and  

here

\angle A = 90 - 73 = 17°

\angle B =  73 - 31 = 42°

and

sum of all angle 180° so

\angle A +  

17° + 42° +  \angle C = 180°  

solve it we get

\angle C = 121°

Now we use here sin law that is

\frac{b}{sinB} = \frac{c}{sinC}   ........................2

put here value and we get

\frac{b}{sin42} = \frac{4.7}{sin121}  

solve it we get

b = 3,7 km

so correct option is  C. 3.7 km

7 0
2 years ago
Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is model
NeTakaya
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
    dM(s) = (-1/28)(2s) + 3 = 0

                     s = 42

Hence, the speed at which the best mileage is achieved is mi/h. 
5 0
1 year ago
In Quadrilateral ABCD , AB ∥ CD, and m∠2=35°.
Marianna [84]
Angle 2 and 5 are alternate interior angle and they are congruent. That means that m <5= 35°.
4 0
2 years ago
Read 2 more answers
A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
What is the length of leg s of the triangle below?
allochka39001 [22]

Answer:

F

Step-by-step explanation:

s²+s²=(4√2)²

2s²=32

s²=16

s=4

5 0
1 year ago
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