Answer:
[tex]xy=30-109i+30i^2[/tex]
Step-by-step explanation:
If x=(10-3i) and y=(3-10i), then xy=
[tex](10-3i)(3-10i)=[/tex]
Using the FOIL method:
First: [tex]30[/tex]
Outer: [tex]-100i[/tex]
Inner: [tex]-9i[/tex]
Last: [tex]30i^2[/tex]
[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]
[tex]xy=30-109i+30i^2[/tex]
Hi!! I need some help with those exercises can anybody help me please !! Thanks you
Answer:
Step-by-step explanation:
(a+b)^2=a^(2)+2ab+b^(2)
(a-b)^2=a^(2)-2ab+b^(2)
13)
(x+2)^(2)-(x-1)^2
x^(2)+4x+4-(x^(2)-2x+1)
x^(2)+4x+4-x^(2)+2x-1
6x+3
15)
(x+5)^(2)-(x+1)^2
x^(2)+10x+25-(x^(2)+2x+1)
x^(2)+10x+25-x^(2)-2x-1
8x+24
Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5
Answer:
3x^3+2x^2y^2-4xy
Step-by-step explanation:
You should Photomath really good for math problems
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
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The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*
Answer:
The second choice. m < 4 = 85 degrees.
Step-by-step explanation:
m < 4 = 180 - m < 1
= 180 - 95
= 85 degrees.
The measure of angle 4 is 85 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that measure of Angle 1 is 95 degrees.
Therefore, we can see that angle 4 and Angle 1 makes linear pair so.
Angle 4 = 180 - Angle 1
= 180 - 95
= 85 degrees.
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What happens when the supply of a nonperishable good is greater than the consumer wants to buy?
A. either the good remains unsold or the price drops
B. the good becomes a luxury and the price rise
C. either the good is saved for later sale or the price is raised
D. the good is discarded
Answer:
A. either the good remains unsold or the price drops
Enter the ordered pair that is the solution to the system of equations graphed below y = - 1/2 * x - 1 y = - 3x + 9
Answer:
x= 4 and y =-3
Step-by-step explanation:
To find the pair that is the solution to the system of equations, we will follow the steps below;
y = -1/2 x - 1 -----------------------------------------------------------------------------------(1)
y = -3x + 9 ---------------------------------------------------------------------------------------(2)
substitute equation (1) in equation (2)
-1/2 x - 1 = -3x + 9
collect like term
-[tex]\frac{1}{2}X[/tex] + 3x = 9 + 1
-x+ 6x /2 = 10
5x /2 = 10
multiply both-side of the equation by 2
5x = 20
Divide both-side of the equation by 5
x = 4
substitute x = 4 into equation (2)
y = -3x + 9
y = -3(4) + 9
y = -12 + 9
y = -3
The solution is
x= 4 and y =-3
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using the values in the table, which conclusion can be made? According to the tables, f(x) does not have a y-intercept. According to the tables, f–1(x) does not have an x-intercept. The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0. The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Answer:
D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
The missing tables are:
First table
x: 0 1 2
f(x): 1 10 100
Second table
x: 1000 100 10
f^-1(x): 3 2 1
Option A is not correct because f(x) has a y-intercept at (0, 1)
If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct
Option C is not correct because the domain of f^-1(x) is associated with x values.
Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa
Answer: D
The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
potatoes are 50p a pound . how much for 24oz
Answer:
25p
Step-by-step explanation:
IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!
Answer:
Hi...
The correct ans is 25 p
Hope this helps.....
Pls mark my ans as brainliest....
Sry dude the calculations r longggggggggggg
Be sure to mark my ans as brainliest
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
A distribution in which the mean, mode, and median are nearly equal is called a ___________
distribution
a. bimodal
b. flat
c.normal
d. skewed
Answer:
C) Normal distribution
Step-by-step explanation:
We are supposed to find A distribution in which the mean, mode, and median are nearly equal
A) bimodal
Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.
B) Flat
A flat distribution can be said either to have no tails, or to have short tails.
C) Normal
A distribution in which the mean, mode, and median are nearly equal is called a normal distribution
D)Skewed
A left-skewed, negative distribution will have the mean to the left of the median.
A right-skewed distribution will have the mean to the right of the median.
Hence Option C is true
Answer:
its c on usatestprep
A rectangle has a length 2x+1 and width x+3.
Write an expression that shows the area of
the rectangle. Be sure to simplify your
ansver.
Answer:
3x + 3
Step-by-step explanation:
to find the area we do length times width so to find the area of this rectangle we do 2x + 1 * x + 3
for this equation we have an order of operations problem we have to multiply 1 * x first so the answer becomes 3x + 3 because after the order of operstions the equation becomes 2x + 1x + 3
we then combine like terms / the x's
2x + 1x = 3x
then add 3
3x + 3
What addition expression is shown on the
number line?
8
+
?
15
PLEASE HELP ME! WILL MARK BRAINLIEST! I WILL REPORT ABSURD AND INCORRECT ANSWERS!
2. Suppose, 11 numbers are given. When each of them was increased by 1, the sum of their squares did not change. Once again each number is increased by 1. Does the sum of squares change this time, and if so, by how much?
4. Several points were marked on a line after which a point was added between any two neighboring points. This operation was repeated 2 more times, and as a result, there were 65 points on the straight line. How many points were there in the beginning?
Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.
We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]
Now, we can plug the values given into that equation:
[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]
Now, cross multiply:
18x = 8(x + 15)
Now, we can simplify this equation and solve for x, or AC.
18x = 8x + 120
Subtract 8x from both sides:
10x = 120
Divide both sides by 10:
x = 12
Hope this helps!
Answer:
AC: 12
Step-by-step explanation:
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
alternet interior angles i think?
Step-by-step explanation:
Angles between transversal of parallel lines are related by several angle theorems.
The theorem that supports r || s and transversal q is (b) alternate interior angles theorem
From the image of lines q, r and s (see attachment), we have the following highlights.
Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent
The above means that:
Angles 2 and 7; angles 1 and 8, are also congruent
Hence, r || s and q is a transversal, because of the alternate interior angle theorem.
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WILL MARK AS BRAINLIST
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
Answer:
C
Step-by-step explanation:
4x-5y=0
5y=4x
y=4x/5, or rather y = (4/5)*x
k thus equals 4/5, and that is your constant of variation.
Answers: Yes, direct variation, k=4/5
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
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Two times a number plus four is 22. What is the number?
Answer:
9
Step-by-step explanation:
2n+4=22
2n=18
n=9
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!
Answer:
Step-by-step explanation:
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
please help me out here
*image attached
Answer:
Rate of change = change y / change x
Change y = + 1
Change x = + 2
SO the rate of change is 1/2
WHAT IS THE Y VALUE WHEN X IS 9
y = 1 MULTIPLY by 4.5 = 4.5
x = 2 MULTIPLY by 4.5 = 9
Y = 4.5 when x = 9
Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................
Answer: y=2x+14
Step:
substitute into y=mx+b
m= slope
b = y-int.
I will give the brainliest answer
Answer:
96 cm²
Step-by-step explanation:
area of single square:16cm²
no. of square in cube:16*6: 96cm²
Answer:
[tex]96 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
6
{a}^{2}
\\
=
6
·
{4}^{2}
\\
=
96 \: \: {units}^{2}
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which table represents a function?
The one on the far left
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74
Answer:
I think the answer would be $466.24.
It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answer:
It takes 9.3 acres to plant per pound of seed.
Step-by-step explanation:
[tex]93 \div 10[/tex]
[tex]9.3[/tex]
Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?
Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?
Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?
Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?
Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?
Answer: Gym problem (fourth option)
Step-by-step explanation:
Hi, to answer this question we have to analyze the options given.
For the first option the equation is:
384+2x=6x
Because the problem asks for a solution where both costs are equal.
For the second option the equation is :
384+2x = 6x
Because the problem asks for a solution where both amounts are equal.
For the third option the inequality is:
384+2x>6x
Because the problem asks for a solution where the first cost is more expensive than the second cost.
For the fourth option (gym problem) the inequality is:
384+2x< 6x
Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).
This option is the correct one.
Feel free to ask for more if needed or if you did not understand something.
HELP ASAP PLEASE need help
Answer:
4.10
Step-by-step explanation:
Cos 35 = AC/5
AC = 4.096
to the nearest hundredth
AC= 4.10
Answer:
AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5