Ask question

Ask question

All categories

1 year ago

14

Solve for all values of y in simplest form. ∣y−12∣=16

1 answer:

Reil [10]1 year ago

5 0

Answer:

$y=-4; y=28$

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

$|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28$

You might be interested in

Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added o

Elena-2011 [213]

Answer:

$793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

4 0

1 year ago

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

6 0

2 years ago

Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d.

OverLord2011 [107]

Answer:

a) 22.8%

Step-by-step explanation:

(2590-2000) ÷ 2590 =

590 ÷ 2590 =

.2277 = 22.8%

4 0

2 years ago

PLSSSS HELP D: (85 points + brainliest)

irga5000 [103]

I’ve asked my teacher for the same thing and all he said was that this wasn’t possible! I still to this day wonder if he knew the answer!! Sorry tho I couldn’t help!

5 0

2 years ago

Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.

natka813 [3]

Answer:

21.89

Step-by-step explanation:

add and subtract

3 0

2 years ago