Identify the imaginary part of this complex number:
10 - 5i

2x-54 and x + 22 are vertical angles and equal each other. Set the two equations equal to each other and solve for x.

2x -54 = x + 22

Add 54 to both sides:

2x = x + 76

Subtract 1x from each side:

X = 76

The answer is x = 76

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

The range of the function is ZERO to POSITIVE INFINITY because 4^x is always positive.

Step-by-step explanation:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

The range of a function is the set of output values of the function

The expression of the function is given as:

[tex]4^x[/tex]

Rewrite as:

[tex]f(x) = 4^x[/tex]

The value of the above function is always greater than 0, because it is an exponential function

Hence, the true statement is:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

Read more about range at:

https://brainly.com/question/10197594

Answer:

Thanks you to

Step-by-step explanation:

Answer:

kilometers

Step-by-step explanation:

Millimeter - too small

Centimeters - too small

Metres - good for width

Kilometres - good for length

Answer:

66°

Step-by-step explanation:

You would add both of the parts together

Given:

Total cheese = 12 pound

Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]

[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]

[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]

[tex]\text{Number of cheese packages}=24[/tex]

Therefore, there are 24 number of cheese packages.

Answer:

Step-by-step explanation:

x=29*2=58

58+7=65

58+7+65=130

Answer:

The relationship or pattern between the month and the daylight hours is that the winter months tend to have fewer daylight hours while the summer months tend to have more daylight hours.

Answer and Step-by-step explanation:

First, write down the equation.

9e + 4 = -5e + 14 + 13e

Combine like terms.

9e + 4 = 8e + 14

Subtract 4 and 14 from both sides of the equation.

e = 10

e = 10 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Number of 12-packs = 14

Step-by-step explanation:

 Cost       Number of 12-packs

 3.50               1

49.00              x

        [tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]

Number of 12-packs for $49 = 14

Answer:

a.20%

Step-by-step explanation:

because of the book is 100$ and the thereby sold it and gained 20$ equals to 20%

Answer:

Time in air is 7.5 s.

Step-by-step explanation:

initial height, h = 0.125 feet

initial velocity, u = 80 ft/s

final height, h' = 5 ft

acceleration due to gravity, g = 32 ft/s^2

Let the time is t to reach the maximum height.

v = u - gt

0 = 80 - 32 t

t = 2.5 s

Let the time is t' from top to ground.

[tex]s = u t + 0.5 gt^2\\\\5 = 80 t - 16 t^2\\\\16 t^2 - 80 t + 5 = 0 \\\\t = \frac{80\pm\sqrt{6400 - 320}}{32}\\\\t = \frac{80\pm78}{32}\\\\t = 5 s or 0.0625 s[/tex]

So the tie is 5 s

The time in air is

T = 2.5 + 5 = 7.5 s  

Answer:

6.5x10^2

Step-by-step explanation:

Answer:

15 oz

Step-by-step explanation:

Problem 3

-------------------------

Explanation:

Two points from the graph are (10,2) and (20,4)

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-2)/(20-10)

m = 2/10

m = 1/5

The slope of the graph is 1/5.

Do the same for two points from the table. I'll use the first two rows

m = (y2-y1)/(x2-x1)

m = (4-2)/(10-5)

m = 2/5

The slope of the table is 2/5.

Subtract the two slopes to wrap things up:

2/5 - 1/5 = (2-1)/5 = 1/5

=====================================================

Problem 5

------------------------

Explanation:

Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.

(angle1)+(angle3) = 180

(157) + (angle3) = 180

angle3 = 180-157

angle3 = 23 degrees

Answer:

1

Step-by-step explanation:

Yes the answer is just 1

Since the power of 2 in the inside will be multiplied by the power of the 4 in the outside will be 8 (The number 11 doesn't change)

A power divided by a power that is equivalent to it is 1

Answer:

a) (-4, 5)

b) (4, -5)

Step-by-step explanation:

Just reverse the signs or use desmos as a better example.

Answer:(4,-5) and (-4,5)

Step-by-step explanation: anything reflected from the x or y axis is the postive version which is  -4 has an absolute value of 4

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

[tex]AB=AC[/tex]                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

[tex]\angle B\cong \angle C[/tex]

[tex]m\angle B\cong m\angle C[/tex]

[tex]m\angle B\cong 49^\circ[/tex]

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

[tex]m\angle ADB=90^\circ[/tex]

[tex]x^\circ=90^\circ[/tex]

In triangle ABD,

[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex]         [Angle sum property]

[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]

[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]

[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]

[tex]y^\circ=41^\circ[/tex]

Therefore, the correct option is B.

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where they intersect

The graphs intersect and (-3,-3) and at (0,6)

Answer:

19

Step-by-step explanation:

Cause it’s angle on a straight line which is equals to 180

Answer:

You asked to solve questions 3 and 5

Since CD = EF,

MN = NP as their perpendicular bisectors are of same length.

Answer:

sdfgafddasfadfs

Step-by-step explanation:

dfsadsafdsfadfsadsfasdfa

Answer:

LOL

Step-by-step explanation:

Answer:

When your brain goes numb, you can call that mental freeze

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

x-42+x-32+180-x+17 = 180

3x +123 = 180

3x = 57

x=19

x = 91.

Putting 91 into the two equations inside the triangle makes the angles 59 and 49, and makes the outside angle 108. Those two angles must add and equal the outside angle, and they do, meaning x = 91.

Answer:

Step-by-step explanation:

take 52 degree as reference angle

using tan rule

tan 52=opposite/adjacent

1.27=x/21

1.27*21=x

26.67=x

26.9=x

Answer:

C

Step-by-step explanation:

Answer:

66.5 degrees

Step-by-step explanation:

use soh cah toa

sinx degrees= oppposite/hypotenuse

sinx degrees=11/12

sin x degrees= 0.916

sin 66.5 degrees = 0.916

if u need a full number do 66