Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2


Related Questions

Identify the image of ∆XYZ for a composition of a 10 degree rotation and 80 degree rotation, both about point X.

Answers

Answer: 90° option a
180° option b
Step-by-step explanation: If we do a rotation of 90° about the X point, this means that the angle between the lines XZ and X'Z must be equal to 90°.
The options that have a 90° angle between these two lines are a and c.
And here you can see that, if the rotation is counterclockwise, the option a is a rotation of 90° and option c is a rotation of 270°, while if the rotation is defined clockwise, the option c is 90° and option a is 270°.
Usually, the rotations are defined as counterclockwise, so under this viewpoint, the right answer is option a.
For a 180° rotation the angle between XZ and X'Z' must be equal to 180°, the only option that has a 180° angle is option b, so here b is the answer.

Please Help me ( i give brainly) Given the graphs of the three functions below...At what x value are all functions equal to each other?
x = 0


x = 10


x = 7


x = 4

Answers

Answer:

7

Step-by-step explanation:

Because it is asking what X value are all the functions equal to just find a point that lies on X that they all come to.

In this case it's 7

Answer:

x = 7

Step-by-step explanation:

The functions are equal to each other where the lines of the functions intersect each other.

The intersection point is (7, 3).

The x-value at this point is 7.

Hence, x = 7.

PLEASE HELP <3 Figure out which ones best fit the graph

Answers

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph using points (0, 12) and (4, 0):

y intercept = 12; slope = (0 - 12)/(4 - 0) = -3

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

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pls help odd numbers only

Answers

Answer:

The question asks, "find the slope".

9) -4/15

10) -1/14

11) -3/4

12) -1/4

13) 11/17

14) -18/13

15) 0

16) -30

17) -5

19) -1/5

21) 1/4

23) -1

25) -2/3

Which of the following are solutions to the inequality below? Select all that apply.
5 ≥ s

Answers

Answer:

: w ≤ - 6

Step-by-step explanation:

Line segment EF begins at (-1,5) and ends at (-1, -3). The segment is translated to the right 4 units and down
2 units to form line segment E'F.
Enter the length, in units, of line segment E'F.

Answers

The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:

E' = (-1 + 4, 5 – 2) = (3, 3)

F' = (-1 + 4, -3 - 2) = (3, -5)

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of the E'F' = √(0 + 64) = 8 units

Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

Learn more about the geometric transformation here:

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Aldo is a software salesperson. His base salary is $2500 and he makes $80 more for every copy of English is Fun he sells. His total pay, p (in dollars), after selling c copies is given by the following.

p=80c+2500

Answer the following questions.

(a)
If Aldo's total pay is $5140, how many copies did he sell?
? copies
(b)
What is Aldo's total pay if he sells 23 copies?
$

Answers

Answer:

A: He sold 33 copies

B: $4340

Step-by-step explanation:

A: p=80(33) + 2500

   p=2640+ 2500

   p=5140

B: p = 80(23) + 2500

   p=1840+ 2500

   p=4340

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 40-kg object is 2 meters off the ground. the potential energy of the object is 784 joules. a 10-kg object is 3 meters off the ground. what is the potential energy of the 10-kg object? 33 joules 131 joules 294 joules 1,176 joules

Answers

The potential energy of the 10-kg object is 294 joules.

What is Variation?

Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.

Analysis:

let potential energy be = P

let mass be = m

let height be = h

P ∝ mh

P = kmh

when P = 784, m = 40kg, h = 2 meters

784 = k x 40 x 2

k = 9.8

P = 9.8mh

when m = 10kg, h = 3 meters

P = 9.8 x 10 x 3 = 294 joules.

In conclusion, the potential energy of the object at 3 meter height is 294 joules.

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which is the graph of the function?​

Answers

at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.

the vertex is then at (-3, 5) which narrows down the answer to F.

Answer:

it's orange

Step-by-step explanation:

because black is (x-<+17)

and yellow is 61 that means that y =orange

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5

Answers

Answer:

18√5  or Decimal Form: 40.24922359…

Step-by-step explanation:

Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is

Answers

Answer:

Step-by-step explanation:

a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)

b. 6^8

Are there real-world examples of both two- and three-dimensional figures?
if so what are they?

Answers

Answer:

yes

Step-by-step explanation:

because a shadow cab be expressed by a two dimension

Answer this, Please help.

Answers

Y-x+2=0 there is the answer

Step-by-step explanation:

y-x+2 =0 is the right answer so try in that way

given b( 5, -7), under which reflection is B' (-5, -7)?

Answers

Answer:

reflection in the y- axis

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis

What is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3

A.-24
B.-6
C.-2/3
D.0

Answers

The value of is x is A. -24.

8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.

If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.

with solutions

Please help thank you​

Answers

Step-by-step explanation:

33÷8= 4 with one left over

4 and 1/8 is your mixed number!

please only answer question b​

Answers

Answer:

P = 12 + 2π cm

Step-by-step explanation:

arc length is calculated as

arc = circumference × fraction of circle

the angle subtended at the centre of the sector = 360° - 300° = 60° , then

arc = 2πr × [tex]\frac{60}{360}[/tex]

      = 2π × 6 × [tex]\frac{1}{6}[/tex]

      = 2π

the perimeter (P) = 6 + 6 + 2π = 12 + 2π

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.

Which statements are true based on the model?

Select each correct answer.


The store earns about $50,000 in profits on its best days.

Maximum profits are earned when there are 6 clerks working.

The store earns profits when no clerks are working.

Maximum profits are earned when there are 3 clerks working.

The store loses money when 7 or more clerks are working.

Answers

Answer:

See below ~

Step-by-step explanation:

The true statements based on the graph :

Maximum profits are earned when there are 3 clerks working.The store loses money when 7 or more clerks are working.

whats 2 divide by 1/6.

Answers

Answer:

1/3

Step-by-step explanation:

2 divided by 1/6

2/1 divided by 1/6

2/6 ---> Simplify: 1/3

Answer:

12

Step-by-step explanation:

the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw

Help?????????????????

Answers

Answer:

please make the image less blurry

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45

Answers

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

the hypotenuse of a right triangle has endpoints (2,7) and (11,-5) what is the perumeter of the triangle?

Answers

Answer:

36 units

Step-by-step explanation:

Using the coordinates, you can find the length of each leg of the triangle.

Find the distance between the x-coordinates, 2 and 11 by subtracting.

11 - 2 = 9.

Find the distance between the y-coordinates, 7 and -5 by subtracting.

7 - (-5)

7 + 5 = 12

The two legs of the right triangle are 9 and 12.

Use the pythagorean theorom to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +12x^{2} =c^{2} \\81 + 144 = c^{2} \\225 = c^{2} \\\sqrt{225}=\sqrt{c^{2} } \\c = 15[/tex]

The three sides of the triangle are 9, 12, and 15. To find the perimeter, add the sides together.

9 + 12 + 15 = 36

a right cylinder has a height of 22 1/4ft and a diameter 2 2/5 times it’s height. what is the volume of the cylinder

Answers

Answer:

                         

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

A jar of pennies weighs 50 ounces. If the number of pennies inside the jar is doubled, the jar of pennies will weigh 92 ounces. How much does the jar weigh?​

Answers

Answer: 8 ounces



Hope this helps

Answer:

8 ounces

Step-by-step explanation:

50×2=100

100-92=8

there ya go

please help me i really don't understand it

Answers

Answer:

32 possible outcomes

Step-by-step explanation:

4 × 2 × 4 = 32

Using the equation, y=5x²−17x −12, determine whether the parabola opens upward or downward.

Answers

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd

Answers

Answer:

[tex]A = 66\ yd^2[/tex]

Step-by-step explanation:

You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:

[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]

Answer:

The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Step-by-step explanation:

Step 1:  Find the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 2:  Find the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 3\ yd[/tex]

[tex]A = 9\ yd^2 * 2[/tex]

[tex]A = 18\ yd^2[/tex]

Step 3:  Find the area of the left and right sides

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 4:  Total area

[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]

[tex]A_{total}= 66\ yd^2[/tex]

Answer:  The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.

Answers

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

A cube has a volume of 1000 cubic feet. what is the length of an edge of the cube? show how you found the answer. please help

Answers

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So the length of an edge of the cube is 10 feet.

X-
x=8
r=3
Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters

Answers

Answer:

Step-by-step explanation:

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