Answer:
(xy - 4)(xy + 4).
Step-by-step explanation:
The is the difference of 2 squares.
a^2 - b^2 = (a - b)(a + b: so we have:
x^2y^2 - 16 = (xy - 4)(xy + 4)
For which discoveries did Watson, Crick, and Wilkins receive Nobel Prizes? Check all that apply.
A. The molecular structure of DNA.
B. The importance of heredity in living organisms.
C. the molecular composition of adenine and thymine.
D. The importance of information transfer in living organisms.
Answer:
b
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
<3 <3 <3
Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
Answer:
6x squared
Step-by-step explanation:
Answer:
Three-tenths x squared
Step-by-step explanation:
i just did this
What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
how to make a dot plot
Answer:
draw a a big L and put your numbers
Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
Which complex number has a distance of the square root of 17 from the origin on the complex plane?
Hey there! I'm happy to help! :D
-------------------------------------------------------------------
OVERVIEW
A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).
The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.
For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.
-------------------------------------------------------------------
MODULI
The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!
STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER
STEP 1: PLOT THE COMPLEX NUMBER
Let's use our complex number 4+3i. If we plot it, the point will be (4,3)
STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM
4²=16
3²=9
STEP 3: ADD THESE SQUARES
16+9=25
STEP 4: SQUARE ROOT IT
√25=5
Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.
-------------------------------------------------------------------
SOLVING THE PROBLEM
In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.
STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS
STEP 1: SQUARE THE MODULUS
√17²=17
STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER
Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17? Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.
Let's see what squares exist that are less than seventeen.
1, 4, 9, 16
(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)
Which of these can we add to get 17?
Well, we can do 1 and 16, so this is our result so far.
STEP 3: SQUARE ROOT THE RESULTS
Now, we just find the square roots of what we found in the last problem!
√1=1
√16=4
STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER
We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!
-------------------------------------------------------------------
SOLUTION
Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.
4+i
-4+i
4-i
-4-i
1+4i
-1+4i
1-4i
-1-4i
You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!
I hope that this helps! Have a wonderful day! :)
what’s the answer for this question
Answer:
66
Step-by-step explanation:
to find the area of a triangle it is base times height at a 90 degree angle divided by to so
11x12 then divide by 2 = 66
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius . What is the slope-intercept form of the equation of ? Show your work.
Corrected Question
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer:
y=0.62x+2
Step-by-step explanation:
In the attached circle drawn using Geogebra
Center is at point A(0,2)Point B on the circumference has coordinates (1.7,3.05)Radius of the circle=2 UnitsGradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]
[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]
Line AB intercepts the y-axis at y=2, therefore: b=2
The slope-intercept form of the line AB (in this case) is therefore:
y=0.62x+2
For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.
You can try one of your own!!
Collins Middle School’s basketball team won 75% of their games. If they lost 4 games, how many games did they win?
Answer:
12
Step-by-step explanation:
We are told that the school won 75% of the games, this means that the school lost:
100% - 75% = 25%
the school lost 25% of the games that equate to 4 games:
Games Percentage
4 ⇔ 25%
I will call 'x' the number of games that they won, which is the 75%:
Games Percentage
4 ⇔ 25%
x ⇔ 75%
we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:
x = 4*75/25
x = 300/25
x = 12
they won 12 games
Another (perhaps simpler) way to find this same result is:
we know that 25% equals 4 games,
if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:
4 * 3 = 12
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
Which statement about the angle measure is true
Answer:
D
Step-by-step explanation:
each angle of the triangle is 95° and the second angle has to be in alphabetical order
The true statement is ∠BAC + ∠ABC = 95°
What is an angle?An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.
Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.
Given is a figure, we need to find the correct answer from the option,
We know that,
The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.
Therefore,
∠BAC + ∠ABC = ∠ACD
∠BAC + ∠ABC = 95°
Hence, the true statement is ∠BAC + ∠ABC = 95°
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Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
Triangle question find the value
Answer:
55°
Step-by-step explanation:
total angle of a triangle is 180°
we are given 2 angles
85+40+ x = 180
180-125 = 55° (x)
Find the three positive geometric means between 3 and 48/625
A. 9/5, 27/25, 81/125
B. 6/5, 12/25, 24/125
C. 3/5, 3/25, 3/125
D. 1, 1/3, 1/9
Answer:
B. 6/5, 12/25, 24/125Step-by-step explanation:
Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:
3, x, y, z, 48/625
Using the nth term of a geometric sequence to find the missing term.
[tex]Tn = ar^{n-1}[/tex] where:
a is the first term
n is the number of terms and
r is the common ratio
From the sequence, a = 3
[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]
Since the fifth term is 48/625 then:
[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]
To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.
[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]
when n = 3;
[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]
when n = 4;
[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]
The three positive geometric mean are 6/5, 12/25, 24/125
Answer:
A
Step-by-step explanation:
10. Select the statements which could describe the graph of a non-proportional
relationship
The winterceptis
The intercept is an integer
The wintercept is a fraction
The line intersects the origin
DELL
Answer:
Y intercept is 0
Step-by-step explanation:
first to answer this correct gets to be picked the brainliest
Answer:0.32
Step-by-step explanation: you’re welcome
what is 2 + 2? and how does that work
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the area, the variables sales price (in thousands of dollars) total floor area (in square feet) number of bedrooms distance to nearest high school (in miles) are used in a multiple regression model. The estimated model is . Answer the folowing questions for the interpretation of the coefficient of in this model.
Answer:
The overview of the specific problem is outlined in the following section of the explanation.
Step-by-step explanation:
The Regression model is being used for finding as well as determining a connection or partnership of involvement among both your factor as well as some other variables. This type of equation is itself proving to be an improvement.Keeping some other factors constant, the average increase in selling price becomes 21 thousand dollars within each incremental bedroom in such a building.So that the above is the right answer.
Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all circles? Explain.
Answer:
1.) Circumference of circle A = 131.95 metre
2.) Circumference of circle B = 175.93 metre
3.) Yes. Radius is proportional to the circumference.
Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters
Circumference of a circle = 2πr
For circle A
Radius r = 21
Circumference = 2 × 3.143 × 21
Circumference = 131.95 metre
For circle B
Circumference = 2 × 3.143 × 28
Circumference = 175.93 metre
Is the relationship between the radius of a circle and the distance around the circle the same for all circles? YES
Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference
Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the total amount of wire Carlos needs each full row represent 1.0 meters
Answer:
Step-by-step explanation:
Given that ;
Carlos needs 1.7 meters of wire for one project &
0.8 meters of wire for another project
we are to shade the model to represent the total amount of wire Carlos needs .
NOW;
For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire = 2.5 meters of wire
In the attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.
Write an inequality for each sentence.
The elephant weighs more than 12,000 pounds.
Answer:
e > 12000 pounds
Step-by-step explanation:
Since the elephant weighs over 12000 pounds it would not be greater than or equal to or less than or less tan or equal to so
if elephant = e than
e > 12000 pounds
Find the unknown length. Round to the nearest tenth if necessary.
Answer:
a= 7.4
Step-by-step explanation:
Answer:
7.4
Step-by-step explanation:
Get the squares of the two given sides , subtract them , to get a squared.
square root the answer , which is 55 , to get the actual side , which is 7.416...
round off to 1 dp to get 7.4
(4x^3-4+7x)-(2x^3-x-8) is equivalent to expression ?
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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What is the length c of the right triangle, rounded to the nearest
tenth?
Answer:
6.1
Step-by-step explanation:
we will name the length in front of the angle , y :
tan(71°)≅2.904= y ÷2
⇒ y= 5.8
and we know that
c = [tex]\sqrt{2^{2} + y^{2} }[/tex]
then
c = 6.14
and if we round it to the nearest tenth :
c = 6.1
What is the error in the flow chart
there is no flow chart
Answer:
WHAT FLOWCHART?
Step-by-step explanation:
LUI
• Chicken nuggets, burger, hot dog
Apple Juice or milk
French fries or fruit
HOOD
8
The list below shows some of the possible
outcomes. List the missing possible outcomes
below.
ter and
ps the
- only
nd a
Chicken nuggets, apple juice, French fries
Chicken nuggets, apple juice, fruit
Chicken nuggets, milk, French fries
Chicken nuggets, milk, fruit
Burger, apple juice, French fries
Burger, milk, French fries
Burger, apple juice, fruit
Hot dog, apple juice, French fries
Hot dog, milk, French fries
Hot dog, milk, fruit
Answer:
cool cool no c um hi hi hi hi hi hi hi hi hi hi hi hi hu x
I need help preciate it
Answer: x=1
They all have 1 for their x coordinate; 'nuff said.
Bicycles in the late 1800s look very different than they do today how many rotations does each tire make after traveling 600 feet round your answers to the nearest whole number
Answer: 3
Step-by-step explanation: Dividing 600/188.4, we get 3 to the nearest whole number
Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain
Answer:
Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.
