Answer:
Step-by-step explanation: I am trying to interpret the question: I'll assume:
Line AB has a midpoint, M.
A is (8,4)
B is unknown, but desired
M is (3,-2)
We'll assume a straight line of the form y=mx+b, where m is the slope. m can be calculated by the "Rise" over the "Run" between the points A and M:
Rise = (4-(-2))=6
Run = (8-3)=5
Slope = (Rise/Run) = (6/5)
The line becomes y=(6/5)x+b
Calculate b, the y-intercept (the value of y when x is 0), by entering one of the two known points. I'll choose (8,4).
y=(6/5)x+b
4 = (6/5)(8)+b
b = 4 - (6/5)(8)
b = 4 - (48/5)
b = 4 - (9 3/5) or -5 3/5
The equation becomes:
y=(6/5)x - 5 3/5
Point B will have an x value of -2 [The change in x from A to M was (3-8) = -5. From M to 5 would be another -5 increment, so x goes from 3 to (3-5) or -2.
Find the value of y for x=-2:
y=(6/5)x - 5 3/5
y=(6/5)*(-2) - 5 3/5
y=(-12/5) - (28/5)
y = -(40/5) or - 8
B has coordinates of (-2, -8)
If coordinates of point A is (8, 4), then the coordinate of point B will be (-2, -8).
The "Midpoint-Formula" is used to find the coordinates of a point that lies exactly halfway between two given points. It's given as :Midpoint (M) = ((x₁ + x₂)/2, (y₁ + y₂)/2),
In this case, we have the midpoint as M(3, -2) and one of the endpoints as A(8, 4). We need to find coordinates of other endpoint which is B,
Using the midpoint formula, we rearrange it to solve for the missing coordinates (x₂, y₂),
x₂ = 2 × Mₓ - x₁,
y₂ = 2 × [tex]M_{y}[/tex] - y₁,
Substitute the given values:
We have : Mₓ = 3; [tex]M_{y}[/tex] = -2,
x₁ = 8; y₁ = 4
x₂ = 2 × 3 - 8 = -2; y₂ = 2 × -2 - 4 = -8,
Therefore, the coordinates of point-B is(-2, -8).
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The given question is incomplete, the complete question is
The midpoint line AB is M(3, -2). If the coordinates of A is (8,4), What are the coordinates of B?
Discuss inductive and deductive reasoning. Use examples to compare and contrast the two types of
reasoning. Be sure to include in your discussion an example where inductive reasoning fails.
Answer:
Deductive reasoning applies general rules to make conclusions about specific cases. Inductive reasoning observes patterns in specific cases to infer conclusions about general rules. For
Step-by-step explanation:
Example: All men are mortal. John is a man
Fresh and easy breath lozenges have only two 3/4 cal piece how many calories are in a pack of 16 lozenges
what is 7 times zero and eight tenths
Answer: 5.6
Step-by-step explanation:
8x7=56
Move the decimal from 56 once to the left because there is 1 number behind the decimal.
I need help with #4 and #5
Answer:
Step-by-step explanation:
Please help me with these thanks!! :)
Answer:
this one is rational and real :)
Solve: 1/3x + 7 = 15
Select the correct statement in the table.
Given that r and s are both irrational numbers, determine which statement is true.
Answer:
Below.
Step-by-step explanation:
The value of r + x is always irrational.
The value of r. s is sometimes irrational:
- for example √2 * √3 = √6 which is irrational,
but √3 * √3 = √9 = 3 which is rational.
Which system of linear inequalities is represented by
the graph?
HELPPP Please!!!
what is the value of this expression?
Answer:
20
Step-by-step explanation:
4 + [tex](m-n)^{4}[/tex] ← substitute m = 7 and n = 5 into the expression
= 4 + [tex]7-5)^{4}[/tex]
= 4 + [tex]2^{4}[/tex]
= 4 + 16
= 20
If the sides of a square measure 9units, then find the length of the diagonal.
Answer:
12.72792
Step-by-step explanation:
d = √2a = √2 x 9 = 12.72792
Sorry, I don't have too much time to explain the question but I hope this helps!
What are the greatest common divisors of the pairs of integers?
Answer:5
Step-by-step explanation:
A group of workers can plant at a rate of 16 hectares per day.
How many hectares can they plant in 4 days?
Answer:
They can plant 64 acres a day
Step-by-step explanation:
16 x 4 = 64
Find the distance between each pair of points.
(-2,-3), (8,-1)
How do I find the difference? Due today!
I HOPE IT WILL HELP YOU.
Thank you.
If B = -p + 10p2 and C = 2p + 7, find an expression that equals B + 3C in
standard form.
Answer:
10p^2 + 5p + 42 = b+3c
Step-by-step explanation:
b = -p + 10p^2
c = 2p + 7
b + 3c = 5p + 10p^2+ 42
How many tens are in 20,000? (Answer in simple words!) Example: "38 tens", or "48 tens"
HELPPPPPPPPPPPPPPPPPPPPPPP
find x and y ILL GIVE BRAINLIESTTTT
Answer:
y =90° x =70°
Step-by-step explanation:
Answer:
x = 70° , opposite angles of the same line with angle 70.
sum of interior angles of trapezium is 360°.
y + 70° + 90° + 110° = 360°
y = 90°
(sorry for login question pls help )
Fit Data to a line
When using empirical data ( data and information collected by scientists in an experiment ), sometimes, that data will not form a perfect line on a graph. when this happens, the line that is created using a linear regression is known as the " line of best fit " the following speed data was collected from a car moving with a constant acceleration.
1 - what is the line of best fit for this data? perform a linear regression on this table to find the equation .
2 - based on your equation, what was the car's approximate initial velocity (at time = 0) ?
3 - if the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds ?
Using a linear regression calculator, the best fit line, initial velocity and the velocity of the car after 15 seconds is :
y = 3.64x + 5.7 Initial Velocity = 5.7 m/s Velocity after 15 seconds = 60.3 m/sUsing technology, the linear regression equation obtained by fitting the data is :
y = 3.64x + 5.7x = times(seconds) ; y = velocity(m/s)The approximate velocity at time = 0 ; x = 0 :
y = 3.64(0) + 5.7
y = 0 + 5.7
y = 5.7 m/s
3.) Velocity after 15 seconds :
At time, x = 15 seconds
y = 3.64(15) + 5.7
y = 60.3 m/s
Therefore, the velocity of the car after 15 seconds is 60.3 m/s
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PLEASE SHOW STEPS // -5 (2b + 7) + b < -b - 11
Answer:
b < -11
Step-by-step explanation:
-5 X 2b = -10b + -35 +b
-10b + 35 + b < -b -11
-b -b
cancel out the b
-10b + 35 < -11
-35 < - 35
-10b <-11
-10 < -10
b < -11 and that's your answer
81a^2x+9a^2y-90bx-10by
It cost adults $7 to get into the fair and it cost children under 11 years old $4. What does it cost for 8 adults and 4 children to get into the fair?
A $82
B $84
C $72
D $76
Answer:$72
Step-by-step explanation:7*8=56
4*4=16
56+16=72
irreducible fraction of -30/40
Answer:
-3/4
Step-by-step explanation:
An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered).
so
-30/40 =
-3/4
John has 3 different colored tiles. (red, blue
and green). He wants to put them into
different orders to make a pattern. How many
different patterns can he make?
Answer:you can make around 3
Step-by-step explanation:
john can make 3 different patterns because he has 3 colors for example...
pattern 1:green,red,blue
pattern 2:red,blue,green
pattern 3:blue,red,green
keep going you might find more..good luck!51661-61661+611×5561×58
Solve.
Answer:
=197060718
Step-by-step explanation:
51661−61661+(611)(5561)(58)
=−10000+(611)(5561)(58)
=−10000+(3397771)(58)
=−10000+197070718
=197060718
93 divided by 5932 long division
Answer:
63 73/93 (steps are in the attached file)
Step-by-step explanation:
what is the math pattern
Simplify the following square rots.When necessary, write the square root using the “WIRIS editor” button;
Answer:
[tex]3\sqrt{9}[/tex]
Step-by-step explanation:
[tex]\sqrt{ab}= \sqrt{a} *\sqrt{b}\\\\\sqrt{99}=\sqrt{9*11}\\\\=\sqrt{9}*\sqrt{11}\\=3\sqrt{11}[/tex]
5t+8=43
Pleas some one explain I do not understand.
Answer:
7
Step-by-step explanation:
5 times 7 is 35.
35 plus 8 is 43.
Simplify x ^8/ x ^6
Answer:
[tex]\displaystyle \frac{x^8}{x^6} = x^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Property [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{x^8}{x^6}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle \frac{x^8}{x^6} = x^{8 - 6}[/tex][Exponents] Subtract: [tex]\displaystyle \frac{x^8}{x^6} = x^{2}[/tex]what the example of constant and variable?
Answer:
A constant is a defined value often portrayed as a number.
A variable is a value that can change and is often represented as a letter.
Step-by-step explanation:
For example:
In the equation ? = 10x + 3y + 17
10, 3, and 17 are all constants.
X and Y are both variables.
To reiterate, constants are known values that can NOT change while variables are unknown values that can change!