Is this correct ? .......................

Answers

Answer 1

Answer: To find the midpoint of the two points (x₁ ,y₁) and (x₂, y₂) we need to use the formula:

$\sf{Midpoint=((x_1 + x_2)/(2), (y_1+y_2)/(2))}$

So to find the midpoint of E (a,a) and F (3a, a), let's plug it in to the formula:

$\sf{Midpoint=((a + 3a)/(2), (a+a)/(2))}$

Simplify the numerator:

$\sf{Midpoint=((4a)/(2), (2a)/(2))}$

Simplifying the fractions more:

$\sf{Midpoint=(2a, a)}$

So the midpoint of EF is (2a,a).

Your answer of (a,a) would be wrong.

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Mn-rs=x +2p solve for p

Answers

Answer:

$p = (mn-rs - x)/(2)$

Step-by-step explanation:

$if \: mn-rs=x +2p \n x +2p = mn-rs \n 2p = mn-rs - x \n p = (mn-rs - x)/(2)$

On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b. If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c? mc =

Answers

Answer:

The slope of line c is 1

Step-by-step explanation:

The given information are;

The coordinates of the points on the line a are; (-3, 3) and (3, -3)

The coordinates of the points on the line b are; (-3, -2) and (2, 3)

Line c ║ line b

Line b ⊥ line a

Line c ⊥ line a

Therefore, we have

The slope, $m_c$ of line c is equal to the slope, $m_b$ , of line b Definition of parallel lines (The slopes of parallel lines are equal)

$m_c$ = $m_b$

Therefore, the slope, m, of the line b is given as follows;

$Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))$

Where, for line b, (x₁, y₁) = (-3, -2) and (x₂, y₂) = (2, 3), we have;

$Slope, \, m_b =(3-(-2))/(2-(-3)) = (3 + 2)/(2 + 3) = 1$

From $m_c$ = $m_b$ = 1, the slope of line c = 1.

Since line b is perpendicular to line a, and line c is perpendicular to line a, the slope of line c is equal to 1.

How to determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided above, we can logically deduce the following;

Line c parallel line b
Line b is perpendicular line a.
Line c is perpendicular line a.

Therefore, the slope of line "c" can be calculated as follows;

Slope (m) = (3 - (-2))/(2 - (-3))

Slope (m) = (3 + 2)/(2 + 3)

Slope (m) = 5/5

Slope (m) = 1

Read more on slope here: brainly.com/question/28143558

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Four more than the product of 23 and Gregs height. Use the variable g to represent Gregs height

Answers

four more than (4+) the product of 23 and gregs height (23 times greg's height)
greg's height will be represented by g
4+23g

23g means 23 times g same as 23(g)

Final answer:

The expression that represents four more than the product of 23 and Greg's height is 23g + 4. Simplifying the expression gives us 5.385g.

Explanation:

The question is asking for an expression that represents four more than the product of 23 and Greg's height. We can represent Greg's height with the variable g. So the expression would be 23g + 4. If we simplify the expression, we get 5.385g.

Learn more about Mathematics here:

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A piece of wire is used to form the framework of a cube. The volume of the cube is 2744 cubic inches. Find the length of the wire

Answers

Answer:

56 inches (perimeter) * 14 inches (height) = 784 inches

Step-by-step explanation:

To find the length of the wire used to form the framework of a cube, we need to consider the perimeter of the cube's base and multiply it by the height of the cube.

The volume of the cube is given as 2744 cubic inches. Since the volume of a cube is calculated by multiplying the length, width, and height of the cube, we can find the length of each side of the cube by taking the cube root of the volume.

∛2744 = 14

So, each side of the cube measures 14 inches.

To find the perimeter of the cube's base, we multiply the length of one side by 4 (since the base of a cube has 4 sides of equal length).

14 inches * 4 = 56 inches

Therefore, the perimeter of the cube's base is 56 inches.

To find the length of the wire used to form the framework of the cube, we multiply the perimeter of the base by the height of the cube. Since all sides of a cube are equal, the height is also equal to the length of one side, which is 14 inches.

56 inches (perimeter) * 14 inches (height) = 784 inches

So, the length of the wire used to form the framework of the cube is 784 inches.

Answer:

168 in

Step-by-step explanation:

Volume of a cube = length*width*height

Cubic root of 2744 = 14

Cube = 4 length+4 width+4 heights = 12

14 + 12 = 168 in of wire

business plans are aimed MAINLY at A.Government Regulators B.employees C.marketing firms D.potential investors

Answers

D) potential investors. In a business plan it is best for businesses and societies to find approaches that will move towards all three goals - environmental protection, social well-being and economic development - at the same time. There are many different government laws to ensure this happens.

A) Increase 30 by 13%b) Decrease 250 by 15%
c) Decrease 825 by 28%

Please show your working out

Answers

A) multiplier = 1.13
30 x 1.13 = 33.9
B) multiplier = 0.85
250 x 0.8 = 200
C) multiplier = 0.72
825 x 0.72 = 594

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