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fiasKO [112]
3 years ago
11

line k has a slop of -5. Line J is perpendicular to line K and passes through the point (5,9). Create the equation for line j.

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

The equation of the line would be y = 1/5x + 8

Step-by-step explanation:

Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.

Now we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 9 = 1/5(x - 5)

y - 9 = 1/5x - 1

y = 1/5x + 8

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anygoal [31]

Answer:

c. 3680

Step-by-step explanation:

In 2010, the population was 8000.

In 2014, it increased by 15%.

Population in 2014 :

= 8000 + 15/100×8000

= 8000 + 1200

= 9200.

Now, 2/5 of the population was age 12 or under.

= 2/5 × 9200

= 2×1840

= 3680

Answer - c) 3680

3 0
3 years ago
Fresh milk costs 12.50 per liter what is the cost of y liters of fresh milk?​
victus00 [196]

Answer:

12.50y

Step-by-step explanation:

  1. If 1 ltr=12.50
  2. what about y ltrs

Therefore, 1 ltr= 12.50

y ltrs=?

you do cross multiplication

hence, 12.50 × y= 12.50y

total cost= sh.(12.50y)

8 0
3 years ago
Find S11 for 1 + 2 + 4 + 8 +
Free_Kalibri [48]
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
 
                                            Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11. 
Substituting the known values, 
 
<span>                                      Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047. 
4 0
4 years ago
A decimal that is 1/10 of 3.0
just olya [345]
0.3 I believe



I hope this helped (:
7 0
3 years ago
If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs
Crazy boy [7]

Answer:

a.Corresponding angles

b.Alternate exterior angles

c.Consecutive interior angles

Step-by-step explanation:

a.\angle 1,\angle3 are corresponding angles.

  • Two angles on the same side of the transversal either below or above of the two lines are corresponding angles.

b.\angle 4,\angle8 are alternate exterior angles.

  • Pair of angles in which one arm of each of the angles lies on opposite sides of the transversal.

c.\angle 2,\angle3 are consecutive interior angles.

Consecutive interior angles are also called co-interior angles.

  • Angles which are lying on the same side of a transversal cutting across the the two lines which are parallel.

So the pair of 1\ and\ 3 are corresponding angles the pair of 4\ and\ 8 are alternate exterior angles,the pair of 2\ and\ 3 are consecutive interior angles.

8 0
3 years ago
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