Find the coordinates of the other endpoint of each line segment given its midpoint and one endpoint Midpoint (5,8), endpoint (13,10)

Midpoint (-7,6 ),endpoint (-9,9 )


Find the coordinates of the other endpoint of each line segment given its midpoint and one endpoint

Answers

(-3,6)

(-5,3)

Step-by-step explanation:

1) 5= x+13/2

10= x+13

x = 10-13 = -3

8= y+10/2

16= y+10

y = 16-10 = 6

(-3,6)

2) -7= x-9/2

-14= x-9

x = -14+9 = -5

6= y+9/2

12= y+9

y = 12-9 = 3

(-5,3)

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Step-by-step explanation:

hi

Part 1. Option C


Part 2. Option A


Part 3. Option D


Part 4. Option B


Part 5. Option C


Part 6. Option B


Part 7. Option B


Part 8. Option B

Step-by-step explanation:

Part 1)

Let

H------> Henry's current age

J------> Justin's current age

we know that

H=10J ------> equation A

H+6=4(J+6) ------> equation B

the answer is the option C

Part 2)

we know that

The y-intercept is the value of y when the value of x is equal to zero

In the equation

3x=6-\frac{1}{3}y

evaluate for x=0

3(0)=6-\frac{1}{3}y

6=\frac{1}{3}y

y=18

therefore

the equation 3x=6-\frac{1}{3}y is the solution

Part 3) we know that

The formula to calculate the midpoint is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

Find the x-coordinate of the ordered pair

1=(-2+x2)/2\\2=-2+x2\\x2=4

Find the y-coordinate of the ordered pair

0=(3+y2)/2\\0=3+y2\\y2=-3

the endpoint is (4,-3)

Part 4)  we know that

In this problem the scale factor is equal to 1\frac{1}{2}=1.5

The perimeter on the photocopies is equal to the perimeter on a sheet of paper multiplied by the scale factor

so

60*1.5=90\ cm

Part 5)   we know that

The Triangle Inequality Theorem.states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

c------> the length of the third side

6+9c ------> 15c ------> c<15

6+c9 -----> c3

the answer is the option C 13

Part 6) we know that

the formula to calculate the distance between two points is equal to


d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}


A(45,76)\\B(76,76)  

substitute the values


d=\sqrt{(76-76)^{2}+(76-45)^{2}}


d=\sqrt{0^{2}+(31)^{2}}


d=31\ units


Part 7)  we know that

Line graphs provide an excellent way to map independent and dependent variables that are both quantitative.

Scatter plots are similar to line graphs in that they start with mapping quantitative data points. The difference is that with a scatter plot, the decision is made that the individual points should not be connected directly together with a line but, instead express a trend.

The cans of drinks sold each day in the snack bar should be graphed using a scatter plot instead of a line graph

Part 8) we know that

If a ordered pair lies on the line

then

the ordered pair must be satisfy the equation of the line

Substitute the values of the ordered pair in the equation

2x+y=9 ------> 2(5)+k=9 -----> k=9-10=-1

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D is the Right answer got it right on test and teacher said it was right

Step-by-step explanation:

Ym

(a) (x_{2},y_{2}) = (3,2)

              (b)  (x_{2},y_{2}) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

x_{m}=\frac{x_{1}+x_{2}}{2}

y_{m}=\frac{y_{1}+y_{2}}{2}

Isolating x_{2}:

2x_{m}=x_{1}+x_{2}

x_{2}=2x_{m}-x_{1}

And y_{2}:

2y_{m}=y_{1}+y_{2}

y_{2}=2y_{m}-y_{1}

(a) Replacing values and calculating x_{2}:

x_{2}=(2*2)-1

x_{2}=3

Calculating y_{2}:

y_{2}=[2*(-1)]-(-4)

y_{2}=2

(x_{2},y_{2})=(3,2)

(b) x_{2}=(2*5)-(-9)

x_{2}=19

y_{2}=(2*6)-19

y_{2} = -7

(x_{2},y_{2})=(19,-7)

1. C
2. A
3. D
4. B
5. C
6. B
7. B
8. B


Do you know the answer?

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