Write an algebraic expression for the following word phase: the quotient of r and 12

If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)

Pepsi [2]

( - 10, - 22 )

using the midpoint formula,

let the other endpoint have coordinates (x, y) then

$\frac{1}{2}$ (2 + x ) = - 4 ( multiply through by 2 )

2 + x = - 8 ( subtract 2 from both sides ) then

x = -8 - 2 = - 10 ← value of x-coordinate

Similarly for y-coordinate

$\frac{1}{2}$ (8 + y ) = - 7 ( multiply through by 2 )

8 + y = - 14 ( subtract 8 from both sides )

y = - 14 - 8 = - 22 ← y -coordinate

the other endpoint is ( - 10, - 22 )

7 0

2 years ago

A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft.

Alik [6]

Total pool = 40 by 20, or 800 feet
Recreational = 20 by 10, or 200 feet

Subtract the recreational part of the pool from the total pool, your answer should be:

600 square feet are reserved for the swim team.

5 0

3 years ago

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Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (−1

ludmilkaskok [199]

Answer: 8 -1

Step-by-step explanation:

referring to brainly.com/question/16983018

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1

The coordinates of the end of the stencil = (8, -1)

5 0

2 years ago

A survey of 70 students from a high school is conducted. From this sample, it is found that 58 students have sent a text message

Irina-Kira [14]

Number of students who have sent a text message only is given by the difference between those that have sent a text message and those that have done both.
i.e. Number of students who has sent a text message only = 58 - 12 = 46

Number of students who have uploaded a selfie only is given by the difference between those that have uploaded a selfie and those that have done both.
i.e. Number of students who have uploaded a selfie only = 21 - 12 = 9

The total number of students surveyed is 70.
Let the number of students who have neither sent a text message nor taken a selfie today be x, then
46 + 9 + 12 + x = 70
67 + x = 70
x = 70 - 67 = 3

Therefore, 3 students neither sent a text message nor taken a selfie today.

The number of students that have sent a text message or have taken a selfie today is given by the sum of the number of students that have sent a text message and the number of students that have taken a selfie less the number of people that have done both.
i.e. number of students that have sent a text message or have taken a selfie today = 58 + 21 - 12 = 67.

7 0

3 years ago

On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se

kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent = $\dfrac12(2x+12)$

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

5 0

3 years ago

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