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kondor19780726 [428]
3 years ago
10

Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R

ound the distance to the nearest tenth. P(−4, 1) and Q(0, 7) The midpoint is at M( , ). Question 2 The distance between the two points is about units.​
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

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12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.

Hope this helps =)
3 0
3 years ago
Mr Smith takes orders from 12 people. 8 people want coffee and 6 people want donuts. how many people want coffee and donuts?
PIT_PIT [208]

Answer:

2

Step-by-step explanation:

8 + 6 - 12 = 2

5 0
3 years ago
Sally eats lunch at a restaurant and her bill is $12. She would like to leave a 15% tip for the waiter.
Andreas93 [3]

Answer:

$ 13.80

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELP PLEASE! PRE-ALGEBRA!
serious [3.7K]

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Step 1: Dilation by a scale factor of 1/2.

A point (x, y) is sent to (1/2 x, 1/2 y).

A(2, 2) ---> (1, 1)

B(2, 10) ---> (1, 5)

C(8, 12) ---> (4, 6)

Step 2: Rotate about the origin 180 degrees

A point (x, y) is sent to (-x, -y).

(1, 6) --->  A'(-1, -1)

(1, 5) --->  B'(-1, -5)

(4, 6) ---> C'(-4, -6)

6 0
3 years ago
10. In right triangle FGH shown below,
Vikki [24]

Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

<h3>What is the Leg Rule?</h3>

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

Learn more about the leg rule on:

brainly.com/question/25016594

5 0
2 years ago
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