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3 years ago

Point A is at (-5, -4) and point B is at (5, -3).

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

(0, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ $\frac{1}{2}$ (x₁ + x₂ ), $\frac{1}{2}$ (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(5, - 3)

midpoint = [ $\frac{1}{2}$ (- 5 + 5), $\frac{1}{2}$ (- 4 - 3 ) ] = ( $\frac{1}{2}$ (0), $\frac{1}{2}$ (- 7) ) = (0, - 3.5 )

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What is does a equal

Blababa [14]

Answer:

a = 13

Step-by-step explanation:

We should know that: The sum of the interior angles of the triangle = 180°

Given the measure of the angles: (6a - 2) , (5a - 13) and (5a - 13)

So,

(6a - 2) + (5a - 13) + (5a - 13) = 180°

16 a - 28= 180 ⇒ Add 28 to both sides

16 a = 180 + 28 = 208 ⇒ Divide both sides by 16

a = 208/16 = 13

5 0

3 years ago

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The

alexdok [17]

Answer:

The correct answer would be, No of bracelets the company must sell to break even would be 15

Step-by-step explanation:

Revenue is given by the function as:

R(x) = 20x

and Cost is given by the function as:

C(x) = 180 + 8x

Let the function P(x) represent the profit earned.

We know that Profit is equal to Revenue - Cost

i-e

Profit = Revenue - Cost

So,

P(x) = R(x) - C(x)

Now substituting the Revenue and cost values in the above equation.

P(x) = 20x - (180 + 8x)

P(x) = 20x -180 -8x

P(x) = 20x - 8x -180

P(x) = 12x - 180

Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:

0 = 12x - 180

12x = 180

x = 180/12

x = 15

So the break even point will be 15 bracelets.

8 0

3 years ago

A water tank contains 12 1/2 ltres of water. Two-fifth of it was (1 mark) consumed. How much of it was left?

SVEN [57.7K]

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

= 7.5

= 7 1/2

4 0

3 years ago

Write the value of the underlined digit 53 _

Alina [70]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the slope-intercept form of the equation of the line perpendicular to y = -x + 10 and passing throught the point (-2,7)?

notka56 [123]

Answer:

The slope-intercept form equation of the line perpendicular to y = $-\frac{1}{2}$ x + 10 and passes through point (-2, 7) is y = 2x + 11 ⇒ Not in the choices

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

The product of the slopes of the perpendicular lines is -1, if the slope of one is m, then the slope of the other is $-\frac{1}{m}$

To find the slope of the perpendicular line to a given line reciprocal the slope of the given line and change its sign

∵ The equation of the given line is y = $-\frac{1}{2}$ x + 10

→ Compare it with the form of the equation above

∴ m = $-\frac{1}{2}$

→ Reciprocal it and change its sign to get the slope of the ⊥ line

∴ m⊥ = 2

→ Substitute in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y in the equation by the coordinates of

a point on the line

∵ The line passes through the point (-2, 7)

∴ x = -2 and y = 7

∵ 7 = 2(-2) + b

∴ 7 = -4 + b

→ Add 4 to both sides to find b

∵ 7 + 4 = -4 + 4 + b

∴ 11 = b

→ Substitute it in the equation

∴ y = 2x + 11

The slope-intercept form equation of the line perpendicular to y = $-\frac{1}{2}$ x + 10 and passes through point (-2, 7) is y = 2x + 11

Note: The answer is not in the choices

6 0

3 years ago