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padilas [110]
2 years ago
8

Find the midpoint of the line segment joining the points P = (-7,1) and Q = (5,-7)

Mathematics
1 answer:
stealth61 [152]2 years ago
5 0

Answer:

  (-1, -3)

Step-by-step explanation:

The midpoint coordinates are the average of the respective end point coordinates:

  M = (P +Q)/2

  M = ((-7, 1) +(5, -7))/2 = (-7+5, 1-7)/2 = (-2, -6)/2

  M = (-1, -3) . . . . the midpoint of PQ

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What is the measure of x?​
enyata [817]

Answer:

9 in.

Step-by-step explanation:

Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.

As such, the ratio of the sides would give the same results.

Hence,

4/6 = 10/(6 + x)

cross multiplying

4(6 + x) = 60

Dividing both sides by 4

6 + x = 15

collecting like terms

x = 15 - 6

= 9

3 0
3 years ago
What is the interquartile range of the data shown in the box plot? 48 50 52 54 56 58 60 62 66 68 70 72 74 76 78 80 82 32 14 16 8
mart [117]

Answer:

22

Step-by-step explanation:

7 0
4 years ago
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IF THE ORIGINAL POINT IS (6,15) AND THE SCALE FACTOR IS 1/3,WHAT IS THE NEW POINT
AysviL [449]
I believe it would be (9, 16). My reasoning for this is that if the slope is 1/3, then x would increase by 3 and y would increase by 1.
8 0
3 years ago
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Semenov [28]

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Step-by-step explanation:

The the next term in this sequence is being determined by multiplying the last two numbers of the sequence.

Next three terms are;

= -6 * 18

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= 18 * -108

= -1,944

= -108 * -1,944

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3 0
3 years ago
Find K if x + 1 is a factor of P(x) = Kx^2-x+2
wlad13 [49]

Answer:

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Step-by-step explanation:

According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

We have the polynomial:

P(x)=Kx^2-x+2

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We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.

Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:

P(-1)=K(-1)^2-(-1)+2=0

Simplify:

K+1+2=0

Solve for <em>K. </em>Hence:

K=-3

8 0
3 years ago
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