25/35 Marks
Find the midpoint of A and B where A has coordinates (8, 2)
and B has coordinates (3,8).

Answers

Answer 1

Answer:

[tex]\displaystyle (\frac{11}{2},5)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point A(8, 2) → x₁ = 8, y₁ = 2

Point B(3, 8) → x₂ = 3, y₂ = 8

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]:                                                       [tex]\displaystyle (\frac{8+3}{2},\frac{2+8}{2})[/tex][Midpoint] [Fraction] Add:                                                                               [tex]\displaystyle (\frac{11}{2},\frac{10}{2})[/tex][Midpoint] Divide:                                                                                            [tex]\displaystyle (\frac{11}{2},5)[/tex]

Related Questions

"If two polygons are similar, then their corresponding angles are equal in measure." True or false?

O True

O False

Answers

Answer:

true hope it helps thanks

Answer:

true

Step-by-step explanation:

if two polygons are congruent(equal) then their corresponding parts are equal

To solve for x in the equation x - 4 = 19, which inverse operation would you
apply? *
O add 4 to both sides
subtract 4 from both sides
add 19 to both sides
O subtract 19 from both sides

Answers

add 4 to both sides......
add 4 to both sides :)

The quadratic function f(x) has a vertex at (5,-5) and opens downward.

If g(x) = (x + 5)2 + 5, which statement is true?


A. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = -5.

B. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = -5.

C. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = 5.

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = 5.

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

We're told that f(x) has its vertex at 5, -5 and opens downward.  This tells us that it's axis of symmetry is x = 5.

The format of the function g(x) shows us that its axis of symmetry is x = -5.  We're shown this because of the (x + 5)² component.

So the correct answer is A.

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5,

the axis of symmetry of g(x) is g(x) = 5.

The quadratic function is a quadratic polynomial that has a parabolic form and a general equation

        g (x) = a x² + bx + c

where a, b, c are the coefficients, x is the independent variable and g the dependent

If the function has real roots it can be written in vertex form

       g (x) = a (x-h) ² + k

where (h, k) are the coordinates of the vertex

The quadratic function has several properties:

The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curve

The function can be written as a vertex value that cancels the binomial is where the symmetry axis passes

in this case, for the parabola to open downwards, the curve must be:

               g (x) = - (x + 5) ² + 5

this is the expression in vertex form, let's find the value that cancels the binomial,

              x + 5 = 0

              x = -5

at this point where the axis of symmetry passes

The value of the function for this point is

              x = -5

         g (x0 = - (-5 + 5) ² + 5

          g (x) = 5

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is

g(x) = 5

Learn more about quadratic function here:

https://brainly.com/question/21214550

In triangle GHJ, mH = 85° and mG = 60°.

Choose the correct symbol to put in the blank.

HJ ___ JG

<
=
>

Answers

Answer:  The correct symbol is '<'.

Step-by-step explanation:

Given: In triangle GHJ

[tex]m\angle H=85^{\circ}[/tex] and [tex]m\angle G=60^{\circ}[/tex]

Here angle H is opposite to side JG and angle G is opposite to side HJ

We know that,

The side opposite to the greater angle of a triangle is greater.

Since [tex]m\angle H> m\angle G[/tex]

Then, JG > HJ

Hence, HJ     <       JG

Given f(x) = -5(x - 2) + 21, what is the value of f(8)?

Answers

Answer:

Step-by-step explanation:

f(8) = -5(8 - 2) + 21

= -30 + 21

= -9

ANSWER CORRECTLY YOU WILL GET BRAINLY IF YOU ANSWER IN 5 min
Option 2 - Coaster City
Option 1 - Adventureland
$20.00 plus $9.00 per person
$40.00 plus $5.00 per person
Part A: Four members of Monica's family will be going on the trip. Which park is the better option if the family is
on a budget?
Part B: Three of Monica's friends have been invited to join the family of four on their trip. Which park will be the
best option for the group?
Part C. For how many people would the cost be the same for each park?
Write an equation that represents the situation then solve. (Explain/Justify your thinking.)

Answers

Answer:

A)

Adventureland.

B)

Coaster City

C)

5 People

Step-by-step explanation:

The cost of Adventureland for p people is:

[tex]A=20+9p[/tex]

And the cost of Coaster City for p people is:

[tex]C=40+5p[/tex]

Part A)

If four people is going on the trip, p = 4. So, the cost for Adventureland is:

[tex]20 + 9(4) = \$ 56[/tex]

And the cost for Coaster City is:

[tex]40+5(4)=\$60[/tex]

Since $56 < $60, Adventureland will be a better option.

Part B)

If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:

[tex]20 + 9(7) = \$ 83[/tex]

And the cost to Coaster City is:

[tex]40+5(7)=\$ 75[/tex]

Since $75 < $83, Coaster City is the better option in this case.

Part C)

So, we can set the two cost equations equal to each other:

[tex]20+9p=40+5p[/tex]

Solve for p. Subtracting 20 from both sides yields:

[tex]9p=20+5p[/tex]

And subtracting 5p from both sides yields:

[tex]4p=20[/tex]

And dividing both sides by 4:  

[tex]p=5[/tex]

So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.

PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLZ!!

Answers

Answer:

7. C   8. E  9. is x=12

Step-by-step explanation:

180 divided by3 equals 60

60-12 =48

48/4 =12

7) a

8) a, c, d

9) it is incorrect because he did not distribute the three to both terms. The correct work would be 3(4x+12) = 180 ; 12x+36 = 180 ; 12x = 144 ; x = 12

Each day,Faye earns $137 for driving a bus. How much will she earn if she works for 26 days?

Answers

Answer:

$3,562

Step-by-step explanation:

Assuming that Faye is paid $137 daily then she would earn $3,562.

$137x26= $ 3,562

i love u too. but u lied. i cant forgive u.

Answers

Answer:

..........................................

Answer:

understandable

Step-by-step explanation:

Mike compared the y-intercept of the graph of the function
f(x) = 5x + 12 to the y-intercept of the graph of the ilnear function that
includes the points from the table below. What is the difference when the y-
intercept of f (x) is subtracted from the y-intercept of g (x)?
Х
1 3 5 6
g(x) 10 14 18 20

Answers

Answer:

-4

Step-by-step explanation:

Given function

f(x) = 5x + 12

From the table we get the function g(x), use pairs (1, 10) and (3, 14)

The slope:

m = (14 - 10)/(3 - 1) = 4/2 = 2

The y-intercept:

10 = 2(1) + bb = 10 - 2b = 8

The function g(x) is found as:

g(x) = 2x + 8

The y- intercept of f (x) is subtracted from the y-intercept of g (x):

8 - 12 = -4

Answer:

(the answer is • -4)

...

can someone please help me with this fast

Answers

Answer: y intercept: -5/8

slope: -2x/5

Step-by-step explanation:

The function g is defined by g(x)= 3x2 - 3.
Find g(3z).

Answers

=3(3z)2-3
=3(9z2)-3
=27z^2-3
=3(9z^2-1)
=3(3z+1)(3z-1)

The graph of the line goes through the points (7.38, 2) and (11.07,3).

Answers

Answer:

BGHUYVGF

Step-by-step explanation:

TRUGT

Question: c > 2.5; c = 3

Answers

Answer:

(1+x)

n

=

n

C

0

+

n

C

1

x+

n

C

2

x

2

+

n

C

3

x

3

+.....

n(1+x)

n−1

=

n

C

1

+2

n

C

2

x+3

n

C

3

x

2

+....

Put x=5

n(1+5)

n−1

=C

1

+2.5C

2

+3.5

2

C

3

+....

=n6

n−1

.

Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?​

Answers

if he buys 5 DVDs at electronic-r-us plus the player it would be a total of $120
60+12(5)=60
if he buys the player plus 4 movies at movies-n-more the total would also be $120
80+12(4)=60
so in total he purchased 9 DVDs
5+4=9


Which of Polygons B, C, D, E, and F are similar to Polygon A?

Answers

Answer:there is no picture

Step-by-step explanation:

Answer:

theres no picture brainliest

Step-by-step explanation:

jayfeather friend me

earth's equator has a diamter of 7926.4 miles. which equation can be used to find the circumference of earth at the equator?

Answers

Answer:

To find the circumference you need to use C= 2πr but since you started with the diameter you need to divide it by 2 and you will get 3963.2. After you get the radius use the formula C= 2πr and you will get 24901.52

The equation would be written as 2 x π x 3963.2 = 24901.52

The location of three fish relative to the water's surface are -10 feet -3 feet, and -12 feet. Which number has the least absolute value?

Answers

Absolute value is the value despite the positive or negative part. If I have -10 and -3 and -12, the absolute values are 10, 3 and 12. Which one out of those three numbers is the least? The answer is 3.

Dont need awnser just explain

Answers

What’s the question?

Answer:

i am just standing here

Step-by-step explanation:

Offering Brainleast if you explain your answer

Answers

Answer:

1

Step-by-step explanation:

(2x - 5)

elsa is designing a commercial jet. she drew a model of her design using the scale shown below. According to her design what will be the length and width in feet of the actual jet

Answers

Answer:

55

Step-by-step explanation:

Cantos segundos tiene el año

Answers

31,556,952 son los segundos que ahi en un año
1 año = 365 días
365 x 24 horas = 8760
8760 horas x 60 minutos = 525.600 minutos
525.600 minutos x 60 segundos = 31.536.000 segundos

Find the measures of HQE and AQG

Answers

Answer:

HQE= 42

AQG= 21

Step-by-step explanation:

90+3y+27=180

117+3y=180

3y=63

y=21

Karen purchased a DVD player on sale. The original selling price was ​$175.90. The sale price was ​$141.37. What is the first step in finding the percent​ markdown? Find the percent markdown.

Answers

Answer:

subtraction

Step-by-step explanation:

Answer:

Subtract 175.90-141.37

Step-by-step explanation:

A real Karen would have asked for the manager.

Which situation CANNOT be represented by this equation?
- 1x + 15 = 9

Answers

Answer: Choice B

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

i need help on this i have an important test due rn ​

Answers

That is called supplementary angles, so they add up to 180 degrees
So it would be 57 + x + 23 = 180
Add 57 and 23, which is 80, subtract that from 180, and you would get
x = 100

Find the 40th term in the arithmetic sequence: 4,2,0,-2........

Answers

Answer:

-74

Step-by-step explanation:

help me with this problem please!!!! :)​

Answers

Answer:

this should do it

What equation is being graphed?

A. y+5= -3/2(x-4)
B. y-5= -2/3(x+4)
C. y-5= -3/2(x+4)
D. y-4= -3/2(x+5)

Answers

Answer:

D. y-4= -3/2(x+5)

Step-by-step explanation:

Firstly, taking two valid ordered pairs from the graph:

(-2,4) and (2,-2)

Using Delta y over Delta x, we are able to obtain m as -3/2

Next,

The following is the point-slope formula:  

y-y₁=m(x-x₁)

Based on the graph, (4,-5) can be spotted as a definite ordered pair

Therefore, y-4= -3/2(x+5)  fits the graph best and has the appropriate m value.

HELP ME ASAP PLEASE ?!?
Find the length of the missing side. Simplify all radicals.

Answers

Answer:

b = 9√5 (see below)

Step-by-step explanation:

Using the Pythagorean Theorem, you can find the missing side. The two sides connect to the right angle are the legs, and the sloping side across from the right angle is the hypotenuse.

We know that:

a² + b² = c²

—where a and b are legs and c is the hypotenuse.

Plug in the known values:

a² + b² = c²

18² + b² = 27²

324 + b² = 729

b² = 405

√b² = √405

b = √81 √5

b = 9√5

Answer:

20

Step-by-step explanation:

A^2+B^2=C^2

18^2+B^2= 27^2

324+B^2= 729

-324           -324

        B^2  = 405

         B= [tex]\sqrt{405)\\[/tex]

B=20

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