======================================================
Explanation:
Let's focus on only the x coordinates for now.
The endpoint has x coordinate 6 and the midpoint's x coordinate is 4.5
The other endpoint's x coordinate is unknown. I'll call this P. I'm tempted to use x, but I want to avoid being this repetitious using x.
What happens is that we add up the two endpoint values, and divide by 2, to get the midpoint value. We'll use algebra to solve for P.
So,
midpoint = (endpoint1 + endpoint2)/2
4.5 = (6 + P)/2
4.5*2 = 6+P
9 = 6+P
P = 9-6
P = 3
This mystery endpoint has 3 as its x coordinate.
---------------------------
Now onto the y coordinate. We'll use the same idea as the last section.
The y coordinates are...
-2 for the first endpoint-2.5 for the midpointQ for the other endpoint, aka some unknown valueSo,
(endpoint1 + endpoint2)/2 = midpoint
(-2 + Q)/2 = -2.5
-2+Q = 2(-2.5)
-2+Q = -5
Q = -5 + 2
Q = -3
The y coordinate for the other endpoint is -3
---------------------------
To wrap everything up, we found that the other endpoint has x and y coordinates of 3 and -3 in that exact order.
Therefore, the missing endpoint is (3, -3)
If you were to apply the midpoint formula on (6,-2) and (3,-3) then you would find the midpoint is (4.5, -2.5). This will help confirm the answer.
Check out the diagram below for visual confirmation. This part is optional but I find it's handy to have. The diagram shows point A in blue as the given endpoint and point C in black as the given midpoint. The red point B is the answer we're after, aka that mystery endpoint.
A team of students lined up dominoes on the gym floor. 90 dominoes fell over and 10 are still standing. What percentage of the dominoes fell over?
Answer:
oops its 90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
90+10 is 100 and if you think about like a fraction when you split up 100 into ten parts it makes ten of ten. 9/10 is equal to 90%
David put $1500 in a savings account that earns 4% simple interest for 6 months. How
much money will he have at the end of the 6 months?
Answer:
$1560Step-by-step explanation:
1500 + (1500 : 100 × 4)
= 1500 + (15 × 4)
= 1500 + 60
= 1560
#Let'sLearnhow to convert quinary into binary numbers
Answer:
Step-by-step explanation:
how to convert quinary into binary numbers?
If this means x in base 5 is equal to y in base 2
You just have to divide in base 5 by 2
Let's take an example.
[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]
[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]
[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]
[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]
[tex]So\ (14)_5=(1001)_2\\[/tex]
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy?
.
Answer:
She will need to buy 39.75 meters of foam
Step-by-step explanation:
Heather received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.42 per pound. After buying the coffee, she had $54.74 left on her card. How many pounds of coffee did she buy?
Given the following measurements, calculate the minimum and maximum possible object. Round to the nearest square whole square unit.
The length of and width of a bookcover 22.2 centimeters and 12 Ret centimeters, respectively.
Answer:
28.3 centimeters and 21 centimeters
Step-by-step explanation:
28.3 + 0.05) cm, so 28.25 cm ≤ length < 28.35 cm.
Evaluate x + y2 (2+ x) if x + 3 and y = -1
Answer:
-7
Step-by-step explanation:
Please make me brainlist
What are the three types of triangles, based on ANGLES?
Draw an example for each one.
Answer:
Right Triangle, Acute Triangle, and Obtuse Triangle
Step-by-step explanation:
I can't draw it here but the right triangle has a side of 90°.
An acute triangle has a side smaller than 90°.
An obtuse triangle has a side bigger than 90°.
I’m struggling.help.
Answer:
2 is the common ratio
Step-by-step explanation:
Common ratio is obtained by dividing any term from it's previous term.
1 ÷ 1/2 = 2
2 ÷ 1 = 2
Hence 2 is common ratio.
Question in the image below:
Answer:
x = 5/33 or 0.151515151
Step-by-step explanation:
7(-6x-2) = 8(3x-4)
step 1: simplify the equation.
-42x - 14 = 24x - 4
step 2: isolate the variable (using the balance method).
-42x - 14 + 14 = 24x - 4 + 14
-42x = 24x + 10
-42x - 24x = 24x - 24x + 10
-66x = 10
step 3: solve for x.
x = 10 ÷ -66
x = 5/33
What is the solution
y=-x+2
y=-3x-2
Answer: (-2, 4)
Concept:
There are three general ways to solve systems of equations:
Elimination: using addition/subtraction to cancel out variables.Substitution: when two variables appear in both equations and are isolated, they could substitute each other.Graphing: graph the equations to find the intersection for the solution.Here we are going to use substitution since the variable [y] is being isolated in both equations.
Solve:
Given equations
y = -x + 2
y = -3x - 2
Using the method of substitution to combine the equations
-x + 2 = -3x - 2
Add 3x on both sides
-x + 2 + 3x = -3x - 2 + 3x
2x + 2 = -2
Subtract 2 on both sides
2x + 2 - 2 = -2 - 2
2x = -4
Divide 2 on both sides
2x / 2 = -4 / 2
[tex]\boxed{x=-2}[/tex]
Find the y value
y = -x + 2 →→→ Given expression
y = -(-2) + 2 →→→ Substitute values into the expression
y = 2 + 2 →→→ Simplify the value
[tex]\boxed{y=4}[/tex] →→→ SImplify by addition
Hope this helps!! :)
Please let me know if you have any questions
Factorise a.x3+4.a.x
Answer:
[tex] {ax}^{3} + 4ax \\ [/tex]
factorise out a and x :
[tex] { \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )[/tex]
but from general factorization:
[tex]{ \boxed{( {a}^{2} + {b}^{2}) = {(a + b)}^{2} - 2ab }}[/tex]
a » x
b » 2
therefore:
[tex] = ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}[/tex]
100,203 in expanded form
Answer:
100,000 + 200 + 3
Step-by-step explanation:
hhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppp
Answer:
The choose;
[tex]3 \frac{9}{10} [/tex]
Step-by-step explanation:
[tex]2 \frac{3}{5} \div \frac{2}{3} \\ \\ = \frac{13}{5} \div \frac{2}{3} \\ \\ =\frac{13}{5} \times \frac{3}{2} = \frac{39}{10} \\ \\ = 3 \frac{9}{10} [/tex]
I hope I helped you^_^
what is the sum of (3x^2y+4xy^2-2y^3+3) and (x^2y+2y^3-4)
Answer:
This is the sum ---> 4x^2y + 4xy^2 - 1
Step-by-step explanation:
(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)
(remove the parenthesis)
= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4
(now, group the like terms)
= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4
(add the elements you think are alike or similar)
= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y - 1
Answer:
the sum is 4x^2y + 4xy^2 - 1
best buy has a store brand tv for $700. this is $250 more than 1/4 of the cost of a deluxe model that they also carry. what is the price of the deluxe model that best buy has in their store?
Answer:
1800 Dollars
Step-by-step explanation:
If a 700 dollar tv is 250 dollars more than a quarter the cost of another tv, that means that 700 - 250 = 450, which multiplied by 4 equals 1800 which would be the price of the tv
Answer:
$812.50
Step-by-step explanation:
Make an equation:
700 = 250 + 1/4x
700 is the store brand version250 + 1/4x is the price of the deluxe t.v.Solve:
700 = 250 + 1/4x
-250 -250
------------------------
450 = 1/4x
------ ------
1/4 1/4
112.5 = x
Add:
700 + 112.5 = 812.5
So, the deluxe version is $812.50
Hope this helped.
All cheeses in Blake's Grocery sell for no less than $3.95 per pound
but less than $4 per pound. List all possible cheese prices at the store
from least to greatest.
Answer:
3.95,3.96,3.97,3.98,3.99 i think lol
Step-by-step explanation:
If DE = X+1, EF = x-2, DF =15, and E is
between D and F. then DE = ?
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8
What is the Triangle Congruence Theorem and is it congruent?
Answer:
Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. We use the symbol ≅ to show congruence. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match.Step-by-step explanation:
What can you say about the triangle in this diagram?
What convinces you that you can make this claim? What assumptions, if any, are you making about the other figures in the diagram
Answer:
it is an equilateral triangle
Step-by-step explanation:
it has equal sizes
BRAINLIEST!!! Simplify by combining like terms: -3 + 6x - 18 - 22x
Answer:
-16x-21
Step-by-step explanation:
[tex]6x - 22x - 3 - 18 \\ - 16x - 21 \\ [/tex]
Answer:
-16x - 21
Step-by-step explanation:
see, first arrange then systematically
6x -22x -18 -3
= -16x - 21
.°. you need to combine the like terms first
use a double number line to determine the missing number 63 is 90% of what number
Answer:
70 is the answer, but i dont know how to do double number line.
Step-by-step explanation:
Solve the following using substitution
Y = 2X + 4
Y = 0.5x - 2
Answer:
x=−4 and y=−4
Step-by-step explanation:
Let's solve your system by substitution.
y=2x+4;y=0.5x−2
Step: Solve y=2x+4for y:
y=2x+4
Step: Substitute 2x+4for y in y=0.5x−2:
y=0.5x−2
2x+4=0.5x−2
2x+4+−0.5x=0.5x−2+−0.5x(Add -0.5x to both sides)
1.5x+4=−2
1.5x+4+−4=−2+−4(Add -4 to both sides)
1.5x=−6
1.5x
1.5
=
−6
1.5
(Divide both sides by 1.5)
x=−4
Step: Substitute−4 fo rx in y=2x+4:
y=2x+4
y=(2)(−4)+4
y=−4(Simplify both sides of the equation)
Answer:
x=−4 and y=−4
a museum director wants to hang the painting on a wall. To the nearest foot, how tall does the wall need to be.
the painting is the square root of 90 ft
help!
Answer:
10ft
Step-by-step explanation:
I'm not quite sure I understand your question because you seem to have already stated the height of the wall but I found a similar one (see attached).
If the height of the picture is √90 feet. This means it is;
√90 = 9.5 ft
Rounded to the nearest foot is 10 feet.
To be able to hang the painting, the wall would have to be at least 10 ft in height.
The height of the wall should be at least 9.5 feet.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a museum director wants to hang the painting on a wall the height of the painting is √90 feet.
Height = √90
Height = 9.48 feet
Therefore, the height of the wall should be at least 9.5 feet.
To know more about an expression follow
https://brainly.com/question/28519153
#SPJ2
Simplify the following
Improper fraction 16/5
Answer:
[tex]{ \sf{ = 3 \frac{1}{5} }}[/tex]
Answer:
3 1/5
Step-by-step explanation:
5 goes into 16 , 3 times with a remainder of 1.
so this leaves you with 3 1/5
Alternatively you can divide 16/5 to get 3.2 this gives the fraction 3 2/10 witch can be simplified to 3 1/5
In one school district, annual funding for reduced-
price school lunches dropped from $26,365 to
$21,430. What's the percent decrease in funding?
Round to the nearest tenth of a percent.
23.0%
18.7%
12.3%
8.1%
Answer:it should be 18.7%
Step-by-step explanation:
Number three please :))
Answer:
can u add a picture of what u want help with please
Step-by-step explanation:
A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.
Answer:
The student took 28 classes
Step-by-step explanation:
What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.
A syllogism is a chain of _ statements
Answer:
A syllogism is a chain of three statements.
Explanation:
A syllogism is a basic form of reasoning consisting of three statements. The first two statements are the premises, the third statement is the conclusion. Here is a first example, showing the way we are going to write syllogisms in these notes.
13. Use the distributive property
to multiply and write the expression
without parentheses. Combine like
terms to simplify.
-2(x - 5) + 6(x-4)
Answer:
4x-14 jrjejejeueuueuw