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3 years ago

The midpoint of mn is point p at (-4,6). If point m is at (8,-2), what are the coordinates of point n?

2 answers:

7 0

x₁ + x₂ y₁ + y₂
 2 = M 2 = M

x + 8 y + -2
 2 = -4 2 =6
multiply both sides by 2.

x+8=-8 y - 2 = 12
x = -16 y = 14

Final Answer: (-16, 14)

evablogger [386]3 years ago

6 0

The midpoint of 2 points is basicaly the average of th points

so
(x1,y1) and (x2,y2)
the midpoint x value is (x1+x2)/2
midpoint y value is (y1+y2)/2

so

midpoint is (-4,6)
a point i (8,-2)
so then
the missing point is (x2,y2)
so
(x2+8)/2=-4
x2+8=-8
x2=-16

(y2-2)/2=6
y2-2=12
y2=14

the point n is (-16,14)

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A man age is three times his sons age. ten years ago was five times his sons age. find their current age.

kow [346]

Answer:

The son is 20

The man is 60

Step-by-step explanation:

We can set up this equation with what we know. Let m stand for the Man's current age, and let s stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: m = 3s

Ten years ago means the man's current age minus 10 years. So it is m-10. So ten years ago he was 5 times his son's age 10 years ago, 5(s-10)

This can be written as: m-10=5(s-10)

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

m-10=5(s-10)

3s-10= 5s-50

40=2s

20 = s

The son is 20 years old.

We know the man is currently 3 times his son's age, because m=3s, so just solve for m since you now know the value of s.

m=3s

m=3(20)

m=60

The man is 60 years old

4 0

3 years ago

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo

Digiron [165]

Answer: $(\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .$

Step-by-step explanation:

Transformation rule for dilation:

$(x,y)\to(kx,ky)$ , where k = scale factor

Given : Scale factor = $-\dfrac13$

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

$(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)$

$(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)$

$(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)$

$(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)$

Hence, the coordinates of the image if the parallelogram = $(\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .$

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3 years ago

Round 34,576 to the nearest thousand

VARVARA [1.3K]

Answer:

35000

Step-by-step explanation:

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3 years ago

A factory produces 80,000 candies each day. They produce equal quauntities of four flavors cherry lemon orange and strawberry. T

Stells [14]

Answer: $\dfrac14$

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let orange candy= cherry = lemon = strawberry = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = $\dfrac{x}{4x}=\dfrac14$

Hence, the probability that a randomly selected candy is orange = $\dfrac14$

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Feliz [49]

ANSWER

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EXPLANATION

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3 years ago