Which value of x will make the absolute value equation true? |x| = 8

A coroner arrives at a murder scene at 10p.m. She finds the temperature of the body to be 86.3 degrees F. She waits one hour, t

hram777 [196]

5 - 6 pm

if the temperature drops 3 degrees per hour. so how many hours would it take to go from 98.6 to 86.3

98.6-86.3=12.3

3 goes into 12 4 times.

10 pm - 4 hours is 6pm.

if you figure in the .3

you come to approximately 5pm

7 0

3 years ago

Describe how to determine if two polygons have the same size and shape.

QveST [7]

You can identify similar polygon by comparing their corresponding angles and sides. ( if they are the same the ratio of the lengths is the scale factor. Also check if their sides are proportional.)

4 0

4 years ago

Read 2 more answers

Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$

We know that PR is 20.

QR is the combined length of QS+SR, so QR is 5+11 or 16.

So, substitute:

$(PQ)^2+(16)^2=(20)^2$

Solve for PQ. Square:

$(PQ)^2+256=400$

Subtract 256 from both sides:

$(PQ)^2=144$

Take the square root of both sides:

$PQ=12$

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

$(PQ)^2+(QS)^2=(PS)^2$

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

$(12)^2+(5)^2=(PS)^2$

Square:

$144+25=(PS)^2$

Add:

$169=(PS)^2$

Take the square root of both sides:

$PS=13$

Therefore, the length of PS is 13 units.

And we're done!

7 0

4 years ago

Which equation of the solutions of x2 = -7x – 8

timama [110]

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1 , b = 7 and c = 8

taking positive sign

x = (-b + $\sqrt{b^2 - 4*a*c}$ ) /2*a

x = (-7 + $\sqrt{7^2 - 4*1*8}$ ) /2*1

x = (-7 + $\sqrt{49 + 32}$ ) /2

x = (-7 + $\sqrt{81}$ )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - $\sqrt{b^2 - 4*a*c}$ ) /2*a

x = (-7 - $\sqrt{7^2 - 4*1*8}$ ) /2*1

x = (-7 - $\sqrt{49 - 32}$ ) /2

x = -7 - $\sqrt{17}$ / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

4 0

3 years ago

Read 2 more answers

Answers for photo please

Kisachek [45]

Explanation:

Each equation asks for x . So let's solve it in a way so that at the end remains x = ,then the rest equation.

So first one,

1. a(x+b)=c

ax + ab = c

ax = c - ab

x = (c - ab ) / a

Now we can write that in two ways:

i. We already got the answer for the 2nd blank which is c - ab / a

ii. If we rearrange it so that there is a minus sign, it would be like: c/a - b

Try solving the rest 3 by your self to make sure you understood them. Then scroll down to match the answers.

2. 8(x + a) = b

8x + 8a = b

8x = b - 8a

x = (b-8a)/ 8

First blank for 2nd equation: x = b/8 - a

Second blank: x = b - 8a / 8

3. a(x - 9) = b

ax - 9a = b

ax = b + 9a

x = (b + 9a) / a

First blank for 3rd equation: x = b/a + 9

Second blank: x = b+9a / a

4. c(2 + x ) = 7

2c + cx = 7

cx = 7 - 2c

x = (7 - 2c) / c

First blank for 4th equation: x = 7/c - 2

Second blank: x = 7 - 2c / c

Do let me know if it's correct! <3

5 0

3 years ago