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lukranit [14]
3 years ago
6

what is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3 (x – 6) and passes thr

ough the point (−2, −2)? y = –x – 10/3 y = –x 10/3 y = x – 1 y = x 1
Mathematics
1 answer:
velikii [3]3 years ago
6 0
For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2    [m1 = -2/3]

Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1
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Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper F c
inn [45]

Answer:

CORRECTED QUESTION:

Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper N, and the latitude of the second city is 36 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.

ANSWER: 1452.11 km

Step-by-step explanation:

Since the two cities both lies on the Northern latitude of the sphere along  the same longitude, we are going to subtract the angles the latitude that each city subtend at the equator.

36 - 23 = 13 degrees   i.e the angles between the with two cities on a cross section the large circle formed by the longitude and its center.

Applying   the formula for the length of an arc on a sector on the large circle  

(∅/ 360) x 2πR

where, ∅ = is the angle between the two cities

R = radius of the Earth.

13/360 x 2 x π x 6400 = 1452.11 km

7 0
3 years ago
The circumference of a circle of diameter 3,5 cm is 11 cm. What is the circumference of a circle of diameter 42 cm? Answer ... c
andreyandreev [35.5K]

Answer:

131.95 cm

Step-by-step explanation:

The Formula for the circumference of a circle is πd where d is the diameter. Therefore you simply multiply 42 with PI to get the circumference

5 0
2 years ago
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
grandymaker [24]

The ratio 9:7 gives you following statement:

  • Carl will win in 9 cases from 9+7=16;
  • Carl will lose in 7 cases from 16.

Then the probability that Carl will lose is

Pr(\text{Carl will lose})=\dfrac{7}{16}.

Answer: Pr(\text{Carl will lose})=\dfrac{7}{16}.


7 0
3 years ago
While shopping at Walmart, I had the option to buy either a 12 pack of Soda for $13, or I could buy a 24 pack for $24. Based on
ira [324]

Answer:

The 24 pack for 24 dollars!

Step-by-step explanation:

This is because you see that 12 is 1/2 of 24 and if you do 13x2 you get 26$ so for the 12 pack if you double it you will be paying 2$ more than if you got the OG 24 pack

8 0
3 years ago
Read 2 more answers
Why is 186,426 divisible by 3 and 9
Zepler [3.9K]
The divisibility rule
For example
The divisibility rule for three is adding the number together
1+8+6+4+2+6= 27
And 3 is divisible by 27
And for nine
It’s similar to three
7 0
3 years ago
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