Given:
The expression is
[tex]\sqrt{64}+\sqrt{-144}[/tex]
Rewriting it as a complex number in the standard form a+bi.
To find:
The missing values in the given simplification.
Solution:
We have,
[tex]\sqrt{64}+\sqrt{-144}[/tex]
It can be written as
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]
[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]
Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.
Answer:
Sample Answer for Edmentum
Like and Rate!
Step-by-step explanation:
A band expects to put 16 songs on their next CD. The band writes and records 37.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
answer:
- this is multi-step problem
16 X 1.375 = 22 songs (37.5% was added)
22 X .5 = 11 songs (50% was removed)
final answer: 11 songs.
Dont have to graph it, just tell me the answers, I kinda need this now :v
Answer:
3/4(n)+1
3/4(8)+1=
6+1=7
3/4(12)+1=
9+1=10
3/4(14)+1=
10.5+1=11.5
3/4(20)+1=
15+1=16
I hope this helps:
At a multi screen movie theater two movies begin at 10 AM the first movie is shown every two hours the second movie is on every three hours what time will both movies be shown together again
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?
Answer: 1,152 toys can be stored in the box.
Step-by-step explanation:
For an object with measures L (length) by W (width) by H (height) the volume is calculated as:
V = L*W*H
We know that the measures of each toy are: 4in x 3in x 3in
Then the volume of each toy is:
V = 4in*3in*3in = 36in^3
The toy box is 4ft x 2ft x 3 ft
First we should write the measures in the same units as before, we know that:
1ft = 12 in.
Then:
4ft = 4*12 in = 48 in
2ft = 2*12in = 24in
3ft = 3*12in = 36in
Then the measures of the box are:
48in x 24in x 36in
Then the volume of the box is:
V = 48in*24in*36in = 41,472 in^3
Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3
this is equal to the quotient between 41,472 in^3 and 36in^3
N = 41,472 in^3/36in^3 = 1,152
1,152 toys can be stored in the box.
evaluate.
[tex] - \sqrt{81} [/tex]
.......
Answer:
Step-by-step explanation:
First find factors of 81
3 81
3 27
3 9
3 3
1
81 = 3×3×3×3
81 = 3^4
Taking squareroot
∴ -√81 = -√3^4
= -3^2
= -9
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
I need help I'm in 6th grade I use to have all f but I changed it into a,b,c can someone plss help so I don't fail
Answer:
um what
Step-by-step explanation:
Write the ratio 3/9 4/9 in simplest form
Answer:
3/9 is 1/3 but 4/9 is already simplified :D
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
write the equation of the line for the following table of values.
x. -3 -5 -7 -9 -11
y. -16 -26 -36 -46 -56
Plz helppp 35 points:)
Answer:
We conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
(-3, -16)(-5, -26)Determining the slope between (-3, -16) and (-5, -26)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]
[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]
[tex]m=5[/tex]
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
[tex]y = mx+b[/tex]
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 5x + 1[/tex]
Therefore, we conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]15 POINTSSS
An = 15 +3 (n-1)
term # l value of An
1 l ______
5 l ______
10 l ______
20 l ______
complete the table for each given sequence.
Please help me guys
2+2
Answer:
Step-by-step explanation:
2 plus 2 is four (4)
Which of the following graphs represents a function?
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Are these triangles similar?
pretty sure its no, the number on the outside arent the same meaning both areas wont add up.
write an absolute value inequality for the graph below.
use x for your variable.
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Kelsey can buy 3 sweatshirts for a total of $30. How much would it cost if she were to buy 4 sweatshirts at the same price?
Answer:
$40
Step-by-step explanation:
30 divided by 3 is 10 so 4 multiplied by 10 is $40
DeAndre bench pressed 300 pounds yesterday. Today, he was weak sauce and could only bench press 175 pounds. By what percent did the weights decrease? *
10 points
Answer:
75%
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!
Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)
Answer:
The answer is C
Step-by-step explanation:
Answer:
the answer is c sorry
Step-by-step explanation:
PLEASEHELP!
ANSWER CHOICES:
A)189
B)329
C)161
D)84
Answer:
329
Step-by-step explanation:
Why is it impossible for m
Answer:
? What M? What is impossible?
Convert -3 2/7 into an improper fraction.
Answer: -23/7
Step-by-step explanation:
Find the zeros for 2x2−24=26. What is the positive value of x?
Answer:
i think it is 12
Step-by-step explanation:
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
A line with slpoe 3 passes through the point (0.10). What is the y-coordinate of the point on the line with x-coordinate 2
Answer:
When x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (0, 10)
The slope m = 3
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We have given the point (0, 10)
It means:
at x = 0, y = 1 0
Therefore, the y-intercept b = 10
so substituting b = 10 and m = 3 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y = 3x+10[/tex]
Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:
[tex]y = 3x+10[/tex]
Now, substituting x = 2 in the equation
[tex]y = 3x+10[/tex]
y = 3(2) + 10
y = 6+10
y = 16
Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)
Answer: Choice D
[tex](-\infty, -2) \cup [4, \infty)[/tex]
=====================================================
Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying [tex]-\infty < x < -2[/tex]
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
4(b-3)=6 put the steps in Oder to solve the equation from first to last
Answer:
B= 9/2 Hope this helped
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
The value of b in the expression 4(b - 3) = 6 is 4.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 4(b - 3) = 6 and we have to solve for b.
4(b - 3) = 6.
4b - 12 = 6. (distributive law a(b+c) = ab + ac).
4b = 6 + 12. (constants change sign when moved to the other sides).
4b = 16.
b = 16/4.
b = 4.
learn more about numerical expression here :
https://brainly.com/question/29199574
#SPJ2
(x - 3)2 + (y + 7)2 = 121 what's the radius
Answer:
[tex]r=11[/tex]
Step-by-step explanation:
The equation of a circle is commonly denoted as:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.
This equation is already written in that format, therefore:
[tex]r^2=121,\\r=\fbox{$11$}[/tex],