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nalin [4]
3 years ago
15

The line segment joining the points A(2,1) and B(5,-8) is trisected at the points p and q such that p is nearer to A. If p also

lies on the line given by 2x-y+k=0, find the value of k

Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0

Answer:

Step-by-step explanation:

  • A(2,1)

2x-y+k=0    k=?

2*2-1+k=0

4-1+k=0

3+k=0

k=-3

  • B(5,-8)

2x-y+k=0

2*5-(-8)+k=0

10+8+k=0

18+k=0

k=-18

SpyIntel [72]3 years ago
3 0

Answer:

  k = -8

Step-by-step explanation:

The location of P is ...

  P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)

Putting this point into the equation for the line, we have ...

  2(3) -(-2) +k = 0

  8 +k = 0

  k = -8

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What is m∠ MHJ?<br> 35<br> 50<br> 72.5<br> 92.5
NNADVOKAT [17]

Answer:

50

Step-by-step explanation:

MHJ and LHK are vertical angles, which means they are equal

2x-20 = x+15

Subtract x from each side

2x-20-x = x+15-x

x-20 = 15

Add 20 to each side

x-20+20 = 15+20

x = 35

We want to find MHJ

MHJ =2x-20

        =2(35) -20

       = 70 -20

      = 50

3 0
4 years ago
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Is 3.667 a rational number,interger,or whole number
steposvetlana [31]
Rational 3667/1000
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4 0
3 years ago
1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

6 0
2 years ago
the ratio of red marbles to blue marbles in a bag is 3:4. if there are 42 marbles in the bag, how many of the marbles are red?
AlexFokin [52]

Answer:

18

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7

Divide the amount of marbles by 7 to find the value of one part of the ratio

42 ÷ 7 = 6 ← value of 1 part of the ratio, thus

red marbles = 3 × 6 = 18

8 0
3 years ago
Can someone please help me with my homework maths please. thanks ​
mario62 [17]

Answer:

35 blocks are given to the class

Step-by-step explanation:

she has 19 pounds which she divides into 1/2 pounds

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she keeps 3 of the blocks and gives the rest away

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35 blocks

4 0
3 years ago
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