Solve using standard algorithm 7.3+2.8

The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Given that the midpoint of AB is M whose coordinates can be written as,

The x-coordinate of point B,

[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]

[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]

10 = 3 + x

x = 10 - 3

x = 7

The y-coordinate of point B,

[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]

[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]

2 = 6 + y

y = 2 - 6

y = -4

Hence, the coordinates of point B are (7, -4).

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Answer:

D) -5

Step-by-step explanation:

When two numbers have different sign, subtract and the answer will have the sign of the bigger number.

Here the sign of bigger number is negative. So, (-5)

Answer:

15 and 24

Step-by-step explanation:

distribute the -1 to the -15 amd it will cancel out same for the other

Answer:

[tex]f(n) = 5 + f(n - 1)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 5n - 2[/tex]

Required

Write a recursive expression

[tex]f(n) = 5n - 2[/tex]

When n = 1

[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]

[tex]f(1) = 3[/tex]

When n = 2

[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]

[tex]f(2) = 8[/tex] can be rewritten as

[tex]f(2) = 5 + 3[/tex]

Substitute 3 for f(1)

[tex]f(2) = 5 + f(1)[/tex]

Express 1 as 2 - 1

[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)

When n = 3

[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]

[tex]f(3) = 13[/tex] can be rewritten as

[tex]f(3) = 5 + 8[/tex]

Substitute 8 for f(2)

[tex]f(3) = 5 + f(2)[/tex]

Express 2 as 3 - 1

[tex]f(3) = 5 + f(3 - 1)[/tex]  ------ (2)

Write out (1) and (2)

[tex]f(2) = 5 + f(2-1)[/tex]

[tex]f(3) = 5 + f(3 - 1)[/tex]

Replace 2 and 3 with n in both cases; This gives

[tex]f(n) = 5 + f(n - 1)[/tex]

Hence;

The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]

Answer:

Always

Step-by-step explanation:

if two points lie in a plane, then the entire line containing those points lies in that plane

Answer:

-5

Step-by-step explanation:

-9c - 15 + 7c + 10 + 2c

-9c + 7c + 2c -15 + 10

-9c + 9c - 5

-5

Answer:

5

Step-by-step explanation:

-9c - 15 + 7c + 10 +2c

-9c + 9c + -15 + 10

5

Answer:

look it up

Step-by-step explanation:

Answer:

5.603 ounces

Step-by-step explanation:

From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice​, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:

6.85-1.247=5.603

According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.

Answer:

6 i think

Step-by-step explanation:

30+6ft=11ft

    -6     -6

   30=5

30/5=6  5/5=1

6=1

Answer:

x = 4.5

Step-by-step explanation:

l = 2x

p = 4l

note: 4l in this case because it is a square

plug in l into equation p

36 = 4(2x)

36 = 8x

divide by 8

x = 4.5

Answer:

10

Step-by-step explanation:

17-7=10

Answer:

10

Step-by-step explanation:

f(x) = n - 7

f(17) = 17 - 7

f(17) = 10

Answer:

60

Step-by-step explanation:

The angle measures in a triangle always add up 180 degrees. 180-80-40=60

Length of Wire = 176 cm

It's bent into a square.

Side of square = 176/4 = 44 cm

Area of square = Side × Side = 44 × 44 = 1,936 sq.cm

Then it's bent into a circle.

Circumference of the circle = 2πr = 176 cm

Circumference = r = 176/2 × 7/22 = 28 cm

Area of circle = πr^2

Area = 22/7 × 28 × 28

Area = 2,464 sq.cm

The Circle will have more area than the square.

Answer:

Option A

Step-by-step explanation:

If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)

14 ft x 28 ft = 392 square feet

Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.

The pool is twice as long as it is wide. Its width is 14 feet.

If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].

Then the [tex](14 (2)=28)[/tex].

So,

[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet

Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

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Answer:

600

Step-by-step explanation:

6x10^2 = 600

Answer:

600

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

For a relation to be a function each value of x on the domain can only map to one unique value of y in the range.

For the given point, we can see that

x = 1 → y = 4 and x = 1 → y = 1

This breaks the function rule, thus the set is not a function

Explanation:

The list of first numbers of the ordered pairs is ...

  1, 3, 1, 9, 0.

There is a repeated value, 1, so the relation cannot be a function. Each domain value can only appear once in a relation that is a function.

Answer:

if anyone got the question asking between stations b and d instead of j and k the answer is 6

Step-by-step explanation:

6

Answer:

8.9

Step-by-step explanation:

X-6y<-12 in slope intercept form is y > 1/6X + 2

Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

Answer:

EF=9

Step-by-step explanation:

DF=15

DE=6  EF=9

Write equation 6+x=15

subtract 6 on both sides

x=9 EF=9

Answer:

37.5 miles per hour

Step-by-step explanation:

To find the miles per hour, you divide the miles by hours. If you divide 225/6, you get 37.5. You can double check this by dividing another set, like 450/12 and see that you still get 37.5. Hope this helps! :)

Answer:

Your answer is going to be D

Step-by-step explanation:

Add 100° with 30° and subtract that sum from 180°.

Answer:

jimragarant 1

Step-by-step explanation:

pls can u help me with the questions i have posted i will give u anything u want

pls help its urgent

Answer:

108.8 yd²

Step-by-step explanation:

The area (A) of the triangle can be calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides and C the angle between them

Here a = 23, b = 9.5 and C = 85° , thus

A = 0.5 × 23 × 9.5 × sin85° ≈ 108.8 yd² ( to the nearest tenth )

Answer:

Step-by-step explanation:

4d + 7e = 68

-4d - 6e = -72

e = -4

4d  + 7(-4) = 68

4d - 28 = 68

4d = 96

d = 24

(24, -4)

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

Answer:

F: 1, -2

G: 3, 1

H: 5, -2

J: 3, -5

Step-by-step explanation:

Hope this helps!!!