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Genrish500 [490]
4 years ago
15

What is the equation of the line perpendicular to 2x-3y=13 that passes through the point (-6,5)

Mathematics
2 answers:
svlad2 [7]4 years ago
6 0

Answer:

the answer is y = (-3/2) - 4

Step-by-step explanation:


Vinvika [58]4 years ago
3 0

Answer:

y=-1.5x-4

Step-by-step explanation:

-3y=-2x+13

3y=2x-13

y=2/3x-13/3

Slope: -3/2

5=-6(-1.5)+b

5=9+b

b=-4

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2. Find the area of the regular polygon.
mash [69]

Answer:

P = 80

A = 480²

Step-by-step explanation:

To solve for the base we use the Pythagorean Theorem

13^2-12^2=25\\\sqrt{25} =5

then we multiply by 2 to get the side length

2x5=10

this is an 8 sided figure with congruent sides so to get the perimeter we multiply 8 and 10

8x10=80 so the perimeter is 80

To find the area of a regular polygon we multiply the apothem (12) and the perimeter (80) and divide by 2

12x80=960

960/2=480

the area is 480²

4 0
3 years ago
What is the multiplicative inverse of 1 2/3
amid [387]

Answer:

sorry if im wrong but im pretty sure -5/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify the given expression<br> sin(3x)cos(8x)-sin(8x)cos(3x)
tatuchka [14]

Answer:

Step-by-step explanation:

sin A cos B-cos A sin B=sin (A-B)

sin (3x)cos (8x)-cos (3x)sin (8x)=sin (3x-8x)=sin (-5x)=-sin (5x)

4 0
3 years ago
Can someone please help with these 2 word problems ASAP.
PolarNik [594]

Answer:

4.     4.66hours

5.  time_trip = 2.777 h

Step-by-step explanation:

4. A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver and Regina is 1730 km. If the flight from Vancouver to Regina on a commercial airplane takes 140 minutes longer than a jet plane, what is the time of a commercial plane ride of this route?

We know that

Speed_commercial = distance/ time_comm

Speed_commercial = 1730 km/ time_comm

Then,

Speed_jet = distance/ time_jet = 2*Speed_commercial

Speed_jet =   1730 km/ time_jet = 2*Speed_commercial

time_comm = 2.333 h + time_jet

1730 km/ time_jet = 2*1730 km/ time_comm

time_comm = 2*time_jet

time_comm = 2*(time_comm  - 2.333h)

time_comm = (2*time_comm  - 4.666h)

time_comm  = 4.666 h

5. A man goes fishing in a river and wants to know how long it will take him to get 10km upstream to his favourite fishing location. The speed of the current is 3 km/hr and it takes his boat twice as long to go 3km upstream as is does to go 4km downstream. How long will it take his boat to get to his fishing spot?

Distance = 10 km upstream

Speed_current = 3 km/h

Upstream

(Speed_boat - Speed_current)  = 3 km / (2*time_downstream)

Downstream

(Speed_boat + Speed_current)  = 4 km / (time_downstream)

We subtract both equations

(Speed_boat + Speed_current) - (Speed_boat - Speed_current) = 4 km / (time_downstream) - 3 km / (2*time_downstream)

2*Speed_current = (5/2 km)/ time_downstream

2*(3 km/h)= (5/2 km)/ time_downstream

time_downstream = 0.416 h

(Speed_boat + 3km/h)  = 4 km / (0.416 h)

Speed_boat  = 6.6 km/h

Trip upstream

(Speed_boat - Speed_current)  = 10 km / (time_trip)

time_trip = 10 km/(3.6 km/h) = 2.777 h

time_trip = 2.777 h

3 0
3 years ago
Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo
Elodia [21]

Answer:

She will earn <u>$442.89</u> in one week after the changes.

And this is <u>more</u> than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

10.50\times 40\\\\=\$420.

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97

<u>Salary after hourly raise = $11.97 per hour.</u>

Then, to get the number of hours worked decreased by 7.5%:

40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.

<u>Number of hours per week after hours of worked decreased  = 37 hours.</u>

Now, to get the salary after changes:

<em>Salary after hourly raise × number of hours per week after hours of worked decreased</em>

=11.97\times 37

=\$442.89.

<u>Salary after changes in one week = $442.89.</u>

<u><em>As, the previous salary was $420 in one week. </em></u>

<u><em>And after changes this salary is $442.89 in one week which is more than previous. </em></u>

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

4 0
3 years ago
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