Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Let n be x+yi
So
√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50Minimum value is 5+5i as 5²+5²=50
How many terms are in the expression x + 4x-3?
O A. 5
O B. 3
O C. 6
O D. 4
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
B. 3
Thanks Hope it helpsAndy runs 437.5 meters in 62.5 seconds. If Andy runs at a constant speed, how far does he run in one second?
Answer:
1 sec = 437.5 divided by 62.5
=7
Step-by-step explanation:
7 meter per second
A ball and a bat cost £90 in total. Three balls and two bats cost £210 in total. How much
does a bat cost?
Submit Answer
Answer: 60
Step-by-step explanation:
ball =x
bat = y
x + y = 90
and
equation II is
3 x + 2 y =210
By multiplying by 3 to equation I both sides
we get equation III as
3( x + y) = 3 ( 90 )
3x + 3y =270 III
subtract II and III
we get 3x+3y=270
- 3x+2y=210
--------------------------
0+y= 60
y =60
cost of bat is y ie = 60
and cost of ball ,is
let put value of y in equation I
x+60=90
x=90-60
x=30
cost of ball is 30
Which triangle is congruent to ABC?
Answer:
c
Step-by-step explanation:
the awnser is c
The triangle in option (D) follows the property of congruence triangle.
Therefore option (D) is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangle ABC,
Two sides AB, and BC are given.
And two angle B and C are shown.
To find the triangle which is congruent to ABC,
Use Angle-side-Angle property,
According to ASA property,
One side and two angles should be equal.
The triangle in option (D) shows the ASA property.
Hence, option (D) is correct answer.
To know more about Triangle on:
https://brainly.com/question/2773823
#SPJ2
help me with this plss
Answer:
175 AKA B
Step-by-step explanation:
40/8=5 5*35=175
What is the volume of this Triangular Prism?
Step-by-step explanation:
V = 0.5 X b X a X h
V = 0.5 × 5 × 4.3 × 14
V = 150.5in
what's the value of x?
Answer:
x=40
Step-by-step explanation:
Reflections have to be equal to each other.
Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.
If this helps please mark as brainliest
Answer:
X=40 pls mark brainlist it would really help
Step-by-step explanation:
3x-6 must equal 114. So...
3x-6=114
+6 +6
3x=120
/3 /3
x=40
Here are the last questions from my previous post!
Answer:
1 - C (38 cm)
2 - A (13)
3 - C (4x + 44 = 180)
Step-by-step explanation:
I NEED THIS TOMORROW AT THE LATEST! ITS FOR A 100 POINT TEST AND IM FALLING MATH SO PLEAS HELP!!!! SOS
Evaluate the expression for the given value.
2w+2l when w=7, l=5
Answer:
Solution given:
we have
2w+2l
when w=7, l=5
2w+2l=2×7+2×5=14+10=24
Step-by-step explanation:
hope it is helpful to you
Express the solution graphically of – }(2x + 1) < 3.
Answer:
The third one counting from the top.
Step-by-step explanation:
We have the inequality:
(-1/3)*(2x + 1) < 3
The first thing we need to do is isolate x on one side of the inequality.
First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:
(-3)*(-1/3)*(2x + 1) > 3*(-3)
(2x + 1) > -9
Now we can subtract 1 in both sides:
2*x + 1 - 1 > -9 - 1
2*x > -10
Now we can divide by 2 in both sides:
2*x/2 > -10/2
x > -5
Then we should see a number line such that all the points at the right of -5 are colored.
The correct option is the third one, counting from the top.
ace please help
plss
Answer: C $25
HOPE THIS HELPS
i need help with this geometry question !
Answer:
15
Step-by-step explanation:
First, calculate one side of your triangle like this:
[tex]A = h\frac{b}{2} \\\\A = 6 \frac{2.5}{2} \\\\A= 7.5[/tex]
You have 2 halves however, so add them to get your total area.
Need this question completed as soon as possible! Please!
Answer:
B is the answer
Step-by-step explanation:
I converted each option to decimals so answer b looks like
2.25> 2.23> -2> -2.2
A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?
Anyone know how to do this?? I need help plss!!! Tyyy!!
the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0
Step-by-step explanation:
f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !
find the surface area of the prism
Answer:
Total surface area is 94 ft^2
Now,
T.S.A = 2 ( lb + bh + lh )
= 2 ( 3*5 + 5*4 + 3*4 )
= 2 ( 15 + 20 + 12 )
= 2 * 47
= 94 Sq. ft
This is Right Answer.....
I hope you understand....
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the larger sphere.
Answer:
45 in
Step-by-step explanation:
Given 2 similar figures with ratio of radii = a : b , then
ratio of volumes = a³ : b³
Here ratio of volumes = 8 : 27 , then
ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3
let r be the radius of the larger sphere then by proportion
[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )
2r = 90 ( divide both sides by 2 )
r = 45
The radius of the larger sphere is 45 in
Parallelograms 1 and 2 are similar. The perimeter of parallelogram 1 is 12 centimeters and the perimeter of parallelogram 2 is 18 centimeters. 2 y What is the ratio Y : Z?
1. 9:4
2. 4:9
3. 2:3
4. 3:2
Answer:
You can set up the ratio 12.4:18.6 because it says that the parallelograms are similar.
Now simplify as much as possible
12.4:18.6
6.2:9.3
2:3
Step-by-step explanation:
Hope this helps! If it's wrong let me know so i can re-check it.
The sum of a number and five divided by fifteen
Answer:
Option F
Step-by-step explanation:
Let the number be n.
Sum of a number and 5 is n + 5.
Sum of a number and five divided by fifteen is
( n + 5 ) / 15
how to finish homework in a short period of time…??????????:$3$; i’m desperate lol
Answer:
breath <3 Im in the same boat rn just calm down and believe in yourself
Step-by-step explanation:
get some snacks play music and relax
hope this helps <3 : )
Find area of the shaded segment vb and length of vb
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
PLEASE I NEED HELP ASAP!!!?
Answer:
11√3-7√6
im good at these, just hit me up if you need more help ;)
Complete the paragraph to show how you can solve problems involving equivalent expressions.
_______________with bar models or algebra tiles to determine if the expressions are_________.You can also write equivalent expressions using_________________________and order of operations.
Blank 1 options.
Evaluate the variables.
Model the expressions.
Follow the order of operations.
Use numerical expressions.
Blank 2 options.
Mathematical.
Solvable.
Equivalent.
Theoretical.
Blank 3 options.
Properties of expressions.
Numerical expression.
properties of operations.
Variable expressions.
Answer:
Step-by-step explanation:
Model the expressions
with bar models or algebra tiles to determine if the expressions are
Equivalent.
You can also write equivalent expressions using
properties of operations
and order of operations.
Answer:
Step-by-step explanation:
Blank 1
Model the expressions.
Blank 2 options.
Equivalent.
Blank 3 options.
properties of operations.
if n = 3a - 6 which inequality below will make n a positive number
Answer:
Step-by-step explanation:
plz help i give brainlist !!!!!!!!!1 help now please
Answer:
option 3
Step-by-step explanation:
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
No links, ty <3
4. At a store, 3 bags of peanuts were sold for $18. Determine if each statement has the same unit rate as the original statement or a different unit rate. Check a box for each statement to indicate “Same unit rate” or “Different Unit Rate.”
boxes are In a pic
Answer:
sAy yOu aRe mY bAkA
Step-by-step explanation:
ty for the points <3
A store that provides hedonic benefits will __________. [This question has been randomly selected from a pool of 3 questions. For optimal success in this class, repeat this chapter's questions until you are sure you are acquainted with all of the alternate versions of each question.] Group of answer choices have drive-through facilities emphasize efficiency in the check-out process encourage customers to shop as quickly as possible stock only essential products offer an entertaining and enjoyable shopping experienc
Answer:
offer an entertaining and enjoyable shopping experience.
Step-by-step explanation:
Hedonistic is a word in English language used to describe the pursuit of pleasure by an individual or group of people as the main activity of life. A hedonistic individual is typically devoted to seeking and having fun and pleasurable times in life.
Hence, a store that provides hedonic benefits will offer an entertaining and enjoyable shopping experience such as playing video games, swimming, viewing centers, playing music or karaoke, etc. The main purpose of hedonic benefits is to induce or enhance customer impulsiveness, as well as influencing their decision to stay longer in the shopping environment or store.