To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:
Using FOIL:
(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)
= 16x² - 20xy - 20xy + 25y² (using the FOIL method)
Simplifying:
= 16x² - 40xy + 25y²
Using the binomial square formula:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)
= 16x² - 40xy + 25y²
Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.
Answer:
i do not know where the following is but here.
Step-by-step explanation:
To square the binomial (4x-5y)², we can use the formula:
(a - b)² = a² - 2ab + b²
In this case, a = 4x and b = 5y. So, we have:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²
Simplifying the terms inside the parentheses, we get:
= 16x² - 40xy + 25y²
Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².
Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).
So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.
Therefore, (4x-5y)² = 16x² - 40xy + 25y².
Angles 4 and 5 are ….
vertical angles
corresponding angles
alternate exterior angles
alternate interior angles
Answer: corresponding angles
Step-by-step explanation:
PLEASE HELP DUE TODAY 25 POINTS:
Answer:
1) x = -11
2) x= -9
3) x = -1
4) x = 32
5) x = 11
Step-by-step explanation:
Answer:
Step-by-step explanation:
11. -1= (5+x)/6 : to get rid of the 6 on the bottom multiply to both sides.
-6=5+x : subtract 5 to both sides
-11 = x
12. 2/3x + 2 = -4 : subtract the 2 to both sides
2/3x = -6 : divide 2/3 to both sides
x= -6/(2/3)
x=-9
13. 7x+2.5=-4.5 : subtract 2.5 to both sides
7x= -7 : divide by 7 to both sides
x= -1
14. 8-3/8x= -4 : subtract 8 to both sides
-3/8x = -12 : divide both sides by -3/8
x=32 : two negatives make a positive
15. -3x - 5 = -38 : add 5 to both sides
-3x=-33 : divide both sides by -3
x= 11 : two negatives make a positive
Need help ASAP will give Brainliest to the first one that answers
Answer:
12
Step-by-step explanation:
30%= .3
10%= .1
60 x .3 = 18
60 x .1 = 6
18 - 6 = 12
12 students
IS MY CLASS OF MATHEMATICS 8th
Answer: The answer is B.
Use the relationship between pounds and ounces shown in the example to complete the table below
Answer: 0.5, 1.25, 2.5
Step-by-step explanation:
There are 16 ounces in a pound, so 8/16 = 0.5.
20/16 = 1.25
40/16=2.5
Answer:
0.5, 1.5, 2.5
Step-by-step explanation:
You can find this answer by looking that 1 pound = 16 oz. So half of an ounce equals half of that pound.
0.5 pounds equal 8 lbs
1.5 = 20
2.5 = 40
What is an angle that is supplementary to CDH?
Amy buys candy that costs $5 per pound. She will spend more than $45 on candy. What are the possible numbers of pounds she will buy? Use p for the number Amy will buy. Write your answer as an inequality solved for p.
PLS ANSWER QUICK!!!!!!!!
Answer:
04) 5m
05) 1.5m
06) sorry i don't know this
PLEASE HELP AND EXPLAIN THANK YOU
Answer: B. 70 square units
Step-by-step explanation:
To find the area, we will use this formula :
(A = area, L = length, W = width)
A = LW
We need to find the distance of the length and width, then we will substitute what we know and solve for the area. See attached and below.
A = LW
A = (7)(10)
A = 70 square units
➜ Note that the scale of this coordinate plane is by 2's, not 1's.
70 unit²
Step-by-step explanation:Firstly, we can observe that 1 unit is equal to 2.
So, we can use this formula to find the area of a rectangle.
Area of a rectangle = Length * Breadth
Length of the rectangle = 5 units = 5 * 2 = 10
Breadth of the rectangle = 3.5 units = 3.5 * 2 = 7
Area of the rectangle = 10 * 7
= 70 unit²
Please mark my answer as the BRAINLIEST. Plsssssssssssssssss
Hope my answer helps you.
:)
A regular triangular pyramid has a base length of 4.6 centimeters and a slant height of 4 centimeters. If the height of the triangular base is approximately 4 cm, what is the surface area of the pyramid?
the answer would be 16
Step-by-step explanation:
multiply both numbers
30 pts (new day new question)
Which comparison is not correct?
8 > -9
-7 > -9
-8 < -4
-2 < -9
pls answer nicely, i just woke up tnx
Answer:
-2 < -9
Step-by-step explanation:
On a number line lets say it goes from 0 to 10 on the right side or 0 to -10 on the left side.
-2 is closer to 0 on the number line rather than -9
-9 is NOT greater than -2
-2 IS GREATER than -9
(I hope this helps!) Have a lovely day
HELPP ASAP
Daniel opens a new savings account and makes an initial deposit of $1,200. If the account earns 2.5% annual interest, which equation shows how much money is in the account in 9 months?
1. x=1,200+1,200(0.025)(0.75)
2. x=1,200+1,200(0.25)(9)
3. x=1,200+1,200(0.025)(9)
4. x=1,200+1,200(0.25)(0.75)
Answer:
x = 1,200 + 1,200(0.025)(0.75)
Step-by-step explanation:
The initial deposit of $1,200 is added to the total amount in the account after 9 months, so we start with 1,200 + ?
The annual interest rate is 2.5%, but we need to calculate the interest earned in 9 months. To do this, we can multiply the annual rate by the fraction of the year represented by 9 months, which is 0.75 (9/12). So the interest earned is 1,200(0.025)(0.75).
Adding the interest earned to the initial deposit gives us the total amount in the account after 9 months, which is x.
Answer:
C
Step-by-step explanation:
Seeing has his initial deposit is 1200
We first convert 2.5% to a decimal making it 0.025 because we moved the decimal 2 places back seeing as 100 percent only has 2 0s
It's also asking us how much money is in his account in 9 months meaning we have to times it by 9 and not 0.75
Please help
It's due pretty soon
Answer: 89
Step-by-step explanation:
bh/2
(5.6)/2=15
13x8=104
104-15=89
Answer:
84.5
Step-by-step explanation:
Because 13x8=104 and 1/4 of the area of rectangle is 19.5 104-19.5=84.5
Please mark me brainliest
Pre-Algebra Brainliest if correct
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three eighths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(−1.5, 2.25), B′(−0.75, 0.75), C′(1.5, −0.75), D′(1.5, 1.5)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(0.75, −1.25), B′(1.6, −1.6), C′(−1.25, 1.6), D′(−0.075, −0.75)
A′(1.27, −3), B′(3.2, −3.2), C′(−0.75, 3), D′(3, 3)
Answer:
First choice: A′(−1.5, 2.25), B′(−0.75, 0.75), C′(1.5, −0.75), D′(1.5, 1.5)
Step-by-step explanation:
A(-4, 6) x 3/8 → A'(-12/8, 18/8) = A'(-1.5, 2.25)
B(-2, 2) x 3/8 → B'(-6/8, 6/8) = B'(-0.75, 0.75)
C(4, -2) x 3/8 → C'(12/8, -6/8) = C'(1.5, -0.75)
D(4, 4) x 3/8 → D'(12/8, 12/8) = D(1.5, 1.5)
RQPS is rotated 180° clockwise around the origin. what are the coordinates of P? question 10 out of 15
Answer:
simply the answer is p(7,2)
Step-by-step explanation:
the question you given me is in quadrant 1 and the chooses aren't correct what the graph carefully and remember that x axis is the first number and y axis is next one then follow the lines the point p by the intersected point as i show you on my figure
Which team do you expect to have scored more field goals in the last 3 quarters, if the teams are tied at at the end of regulation?
Click the image to view the table.
Question content area bottom
Part 1
In the last three quarters, Team A will score
_______ field goal(s) and Team B will score
_______ field goal(s). So,
( choose Team A / Team B ) will score more field goals in the last three quarters of the game.
Answer:
Based on the provided image of the table, it appears that Team A has scored 10 field goals in the last three quarters, while Team B has scored 12 field goals in the same period.
So, Team B will score more field goals in the last three quarters of the game.
Write a function to describe the following scenario.
Jonathan is selling his old trading cards.
Each customer that buys gets the first
box they purchase for $10, and each
additional box for only $5.
y = [?] x + [ ]
Enter
Answer:
y=5x+10
Step-by-step explanation:
$5 is based on how many boxes are bought
$10 is the base price and does not change
Need help ASAP will give Brainliest to the first one that answers
Answer:
Veggies = 700
Fruit = 300
Carbs = 500
Protein = 500
A line on a graph is represented with the equation y= -3x-9. What is the equation for the image of this line after a reflection over the mirror line y=x ?
Answer:
O y=-1/3x-3 is the answer i think
A tart contains either 3 white, or 4 red, or 5 black cherries. A tray of 20 tarts contains 89 cherries. How many red cherries are on the tray if it contains 3 tarts with white cherries?
20 pts!! HURRY PLS Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
Answer:
2 54, 2 1/4, -1.79, -4
4. -4= least value, less than 0, last
3. -1.79, less than 0, second least value, before last
2. 2 1/4 = 2.25, more than 0, less than 2.5, second
1. 2.51, greater than 0, greater than 2.5, highest value, first
Answer:
Step-by-step explanation: 1/4 is equal to 0.25 which make 2 1/4 = 2.25 and the higher the negative number the lower the actual number is so the answer should be : 2.54, 2 1/4, -1.79, -4
I'm sorry if this not a good explanation
NEED HELP PLEASE I WILL GIVE BRAINLIEST FOR GOOD ANSWER
Directions: Identify each preposition and each prepositional phrase.
1. Salt Lake City, Utah's capital and largest city, was founded in 1847.
2. Janice and Carla spent the day at the mall.
3. Standard time was adopted in the United States in 1884.
4. The geographic center of the United States is in Kansas.
5. The first safety lamp for miners was invented by Sir Humphrey Davy in 1816.
6. Many people of North Borneo live in houses that have been built on stilts in the Brunei River.
7. The children were charmed by the magician's tricks.
8. We visited the Royal Ontario Museum in Canada.
9. The first automobile show was held in "New York City in 1900.
10. Self-government in the United States began in Jamestown in 1619.
11. The first street railway in the world was built in New York in 1832.
12. The inventor of the telephone was born in Scotland.
13. Who is the inventor of the printing press?
14. The shadowy outline of the giant skyscrapers loomed before us.
15. Our small boat bobbed in the waves.
16. The swivel chair was invented by Thomas Jefferson.
17. A raging storm fell upon the quiet valley.
18. I was lulled into sleep by the patter of the rain.
19. We found acorns beneath the tree.
20. That cow is standing in the middle of the road.
Answer:
1.when they captured utah
2.they was at the mall
3. when adoption started
4.the center of the usa
5.who made the first safety lamp
6.where northern houses were build
Step-by-step explanation:
A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)
Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)
Answer:
don't copy this word for word, but here's the answers and reasons you can use
also mark me brainliest if this helps pls
Step-by-step explanation:
Part A:
The area covered by a circle is given by the formula:
A = πr^2
where r is the radius of the circle.
For two-way radio A, the radius is 3 miles. So we have:
A = π(3)^2
A ≈ 28.27 square miles
Therefore, two-way radio A covers approximately 28 square miles.
Part B:
For two-way radio B, the radius is 6.44 kilometers. However, the formula for the area of a circle uses the squared value of the radius, so we need to square 6.44:
A = π(6.44)^2
A ≈ 130.23 square kilometers
Therefore, two-way radio B covers approximately 130 square kilometers.
Part C:
To compare the two areas, we need to convert the area covered by two-way radio A to kilometers:
1 mile = 1.61 kilometers
So 3 miles is equivalent to:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
The area covered by two-way radio A in square kilometers is:
A = π(4.83)^2
A ≈ 73.03 square kilometers
Comparing the areas, we see that two-way radio B covers the larger area.
Part D:
The scale factor relationship between the radio coverages is the ratio of their radii. Using the given conversion factor, we can convert the radius of two-way radio A to kilometers:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
So the scale factor relationship is:
4.83 km (radius of two-way radio A) / 6.44 km (radius of two-way radio B)
= 0.75
This means that the coverage area of two-way radio B is approximately 0.75 times the coverage area of two-way radio A.
Given that A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
A) two way radio A can cover 28 square miles. (using area of circle)
B) two way radio B can cover 132 square kilometer. (using area of circle)
C) Area of coverage of radio B is more.
D) Using the radius of each circle, the scale factor relationship between the radio coverages of A and B is 3:4.
Area of a circle is given by the formula [tex]\pi r^2[/tex].
A) radius of radio A = 3 miles
Area of coverage = [tex]\pi r^2 = 3.14 *3*3 = 28.26[/tex] sq miles
B) radius of radio B = 6.44 km
Area of coverage = [tex]\pi r^2 = 3.14 *6.44*6.44 = 130.22[/tex] sq km
C) 1 mile = 1.61 km
1 sq mile = 1.61 km * 1.61 km = 2.5921 sq km
Area of coverage of radio A = 28.26 sq miles = 28.26 *2.5921 = 73.25 sq km
On comparison, area of coverage of radio B is more.
D) 1 mile = 1.61 km
radius of radio A = 3 * 1.61 = 4.83 km
scalar factor relationship between radio A and B = [tex]\frac{4.83}{6.44} = 3:4[/tex]
Learn more about area of circle here
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If the order of the numbers in a sum matters, then in how many ways can you represent the number 9 as the sum of three positive integers?
I already tried: 18, 32, and 30. None of them were right :(
Answer:
3
Step-by-step explanation: 9
can be expressed in three such ways, 2+3+4
, 4+5
or simply 9
Zahra cuts out a rectangle that has a perimeters of 22 inches and a length of 9 inches she cuts another rectangle that is the same length and twice as wide.
Answer:
The first rectangle that Zahra cuts out has a perimeter of 22 inches and a length of 9 inches. To find the width of this rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Substituting in the given values, we have:
22 = 2(9 + width)
Simplifying and solving for width, we get:
width = 2 inches
Therefore, the dimensions of the first rectangle are 9 inches by 2 inches.
Zahra then cuts another rectangle that is the same length (9 inches) but twice as wide as the first rectangle. Therefore, the width of this second rectangle is:
2 x 2 inches = 4 inches
So, the dimensions of the second rectangle are 9 inches by 4 inches.
In summary, Zahra has cut out two rectangles with dimensions as follows:
- Rectangle 1: Length = 9 inches, Width = 2 inches
- Rectangle 2: Length = 9 inches, Width = 4 inches
Jake rides his bike to and from work for a total of 26 miles per day. How many miles does Jake ride his bike in 43 work days?
will chose you as brainiest
Answer: 1118 miles (thats a lot!)
Step-by-step explanation: he rides 1118 miles because you simple multiple 26 x 43, 26 for the amount of miles he travels every day, and 43 for every day
Need help ASAP will give Brainliest to the first one that answers
Answer:
12
Step-by-step explanation:
Because 20% of 60 is 12 because 60 divided by 12 is 5.
Sorry but I forgot it, so I searched it up and saw this and this is the correct answer.
Please Help!!! I will give brainlist if right!!!
Aliya deposits $300 into a college savings account that earns simple interest at a rate of 10%. If she makes no withdrawals, how much total interest has Aliya's college savings account earned after 7 years?
(Include the $ symbol)
Answer:
after 7 years is $210.
Step-by-step explanation:
To calculate the total interest earned by Aliya's college savings account, we need to use the formula:
I = P * r * t
where I is the total interest earned, P is the principal (initial amount deposited), r is the interest rate (as a decimal), and t is the time (in years).
In this case, Aliya deposited $300, the interest rate is 10% or 0.1, and the time is 7 years. Plugging in these values, we get:
I = $300 * 0.1 * 7 = $210
the total interest earned by Aliya's college savings account after 7 years is $210.
HOPE THIS HELPS :)
Bill is playing a game. He chooses one fraction card and one decimal card that have the same value. What 2 cards might bill choose
2/3
6/8
5/4
5/6
0.6 repeating
1.5
0.75
1.3repeating
1.25
0.83
0.8
0.83repeating
1.2
0.67
1.3
1.33
Answer: To determine which fraction and decimal cards have the same value, we can convert each fraction to a decimal and then compare them to the decimal cards:
2/3 = 0.666... (repeating)
6/8 = 0.75
5/4 = 1.25
5/6 = 0.833... (repeating)
0.6 repeating = 0.666... (repeating)
1.5 = 1.5
0.75 = 0.75
1.3 repeating = 1.333... (repeating)
1.25 = 1.25
0.83 = 0.83
0.8 = 0.8
0.83 repeating = 0.833... (repeating)
1.2 = 1.2
0.67 = 0.67
1.3 = 1.3
1.33 = 1.33
From this list, we can see that Bill can choose the following two cards that have the same value:
2/3 and 0.666... (repeating)
0.6 repeating and 0.666... (repeating)
Step-by-step explanation:
Bill has a range of card pairs that all have the same value at his command. The fraction card 2/3 and the decimal card 0.67 are one such pair because both cards show the value of two-thirds. The fraction card 6/8 (which may be written as 3/4) as well as the decimal card 0.75 are another pair that could be used as both of them reflect the value of three-quarters.
Since both cards show the value of five-sixths, Bill may either select the fraction card 5/6 and the repeating decimal card 0.83 repeating. The fraction card 1.25 and the decimal card 1.25 are another pair that may coexist as both of them represent the sum of one and one-quarter.
Also, Bill has the choice to pick either the fractional card 0.75 or the decimal card 0.75, both of which denote the value of three-fourths. He might also select the decimal card 1.33, which reflects the amount of one and one-third, and the fraction card 1.3 repeating, which is similar to 4/3.
Bill has a choice of card pairs to select from, all of which reflect the same number in both fractional and decimal form.
Learn more about decimal:
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Solve the following:
Answer:
1) x = 17
2) y = -0.5
3) m= 20
4) -1.5
5) -1
6) -7.2
Step-by-step explanation:
1) 12=5=17
2) 2 times -.5 = -1 minus 4 = -5
3) 8+ 12 = 20
4) -.75 divided by .5 = -1.5
5) first 2 negatives cancel out leaving you with the last -1
Answer:
1. 17
2) -0.5
3) 20
4) -1.5
5) -1
6) -7.2