What is m in this question
What is m in this question - 1

Answers

Answer 1
Answer: -16 because you need to subtract -4 from -12

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Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer:

B. B = (4,-2)

Step-by-step explanation:

GIven that A = (-2, 2) and M = (1, 0), and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

M = (1)/(2)\cdot A + (1)/(2)\cdot B

The location of B is now determined after algebraic handling:

(1)/(2)\cdot B = M - (1)/(2)\cdot A

B = 2\cdot M -A

Then:

B = 2\cdot (1,0)-(-2,2)

B = (2\cdot 1, 2\cdot 0)-(-2,2)

B = (2,0) -(-2,2)

B = (4,-2)

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)

Then the formula can be written as

x₂ = 2x - x₁ and y₂ = 2y - y₁

Then we have

x₂ = 2 × 1 + 2

x₂ = 4

y₂ = 2 × 0 - 2

y₂ = - 2

Then the coordinate of point B will be (4, -2).

Thus, the correct option is B.

More about the coordinate geometry link is given below.

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What is the image of (0, -8) after a reflection over the line y = -x?
Submit Answer

Answers

The required reflection of the point (0, -8) on the line y = -x is (8, 0).

To determine the image of (0, -8) after a reflection over the line y = -x.

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).

Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).

Learn more about equation here:

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Answer:

(8,0)

Step-by-step explanation:

could be negative 8 but it said positive 8

positive works

Please help me with this​

Answers

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

take lcm of the denominator

lcm = 100

25*100 + 32*10 +4*1/100

2500 + 320 +4/100

2824/100

28.24

Find the value of (1 point)

Answer D .28.24

Write the slope-intercept form of the equation : a) 4x-2y = 3​

Answers

Answer:

y = 2x - (3)/(2)

Step-by-step explanation:

slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtraction

~

First, subtract 4x from both sides of the equation:

4x (-4x) -2y = (-4x) + 3

-2y = -4x + 3

Next, divide -2 from both sides of the equations:

((-2y))/(-2) = ((-4x + 3))/(-2)

y = (-4)/(-2)x + (3)/(-2)

y = 2x - (3)/(2)

y = 2x - (3)/(2) is your answer.

~

Rewrite the equation by completing the square. x^2-14+33=0

Answers

Answer:

(x - 7)² = 16

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Completing the Square

Step-by-step explanation:

Step 1: Define

x² - 14x + 33 = 0

Step 2: Rewrite

  1. Isolate x terms:                    x² - 14x = -33
  2. Complete the Square:         x² - 14x + 49 = -33 + 49
  3. Reduce:                               (x - 7)² = 16

And we have our rewritten form!

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) My Notes Ask Your Teacher (a) the volume of the cube maximum possible error relative error percentage error cm
(b) the surface area of the cube maximum possible error relative error percentage error cm Need Help? ReadTalk to Tuter

Answers

Answer with Step-by-step explanation:

We are given that

Side of cube, x=30 cm

Error in measurement of edge,\delta x=0.5 cm

(a)

Volume of cube, V=x^3

Using differential

dV=3x^2dx

Substitute the values

dV=3(30)^2(0.5)

dV=1350 cm^3

Hence,  the maximum possible error in computing the volume of the cube

=1350 cm^3

Volume of cube, V=(30)^3=27000 cm^3

Relative error=(dV)/(V)=(1350)/(2700)

Relative error=0.05

Percentage  error=0.05* 100=5%

Hence, relative error in computing the volume of the cube=0.05  and

percentage error in computing the volume of the cube=5%

(b)

Surface area of cube,A=6x^2

dA=12xdx

dA=12(30)(0.5)

dA=180cm^2

The maximum possible error in computing the volume of the cube=180cm^2

A=6(30)^2=5400cm^2

Relative error=(dA)/(A)=(180)/(5400)

Relative error  in computing the volume of the cube=0.033

The percentage error in computing the volume of the cube=0.033* 100=3.3%