What is the distance between A(28, 4) and B(4, 21)?
Help pls
Answer:
The answer is
[tex]\sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
From the question the points are
A(28, 4) and B(4, 21)
The distance between them is
[tex] |AB| = \sqrt{ ({28 - 4})^{2} + ({4 - 21})^{2} } \\ = \sqrt{ {24}^{2} + ( { - 17})^{2} } \\ = \sqrt{576 + 289} \: \: \: \: \: \: \: \\ = \sqrt{865} \\ = 29.410882339...[/tex]
We have the final answer as
[tex] \sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]
Hope this helps you
Antonio had $450 in his bank account on Monday. On Tuesday he wrote five checks for $24.50 each. On Wednesday he made three deposits of $45 each. How much money was in his account after the checks and deposits cleared? Explain
Answer:
$462.5 in his account in the end
Answer:
Antonio ends up with $462.50 after the checks and deposits cleared.
Step-by-step explanation:
First make an equation for what we know: Antonio started with $450, he made 5 different checks of $24.50 each, and he deposited $45 3 times.
450 - 5(24.5) + 45 (3)
450 - 122.5 + 135
327.5 + 135
$462.50
Antonio ends up with $462.50 after the checks and deposits cleared.
If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)
Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide sidewalk all the way around the house. There will be a protective metal strip around the outside edge of the sidewalk. If the house will have a perimeter of 136 feet, how will the four pieces of the protective strip need to be
Answer:
The length of the four pieces of protective strip is 96 feet
Step-by-step explanation:
Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)
= 2(w + w + 16)
= 2(2w + 16)
Since the perimeter of the house P = 136 feet,
136 = 2(2w + 16)
dividing through by 2, we have
136/2 = (2w + 16)
68 = (2w + 16)
collecting like terms, we have
68 - 16 = 2w
52 = 2w
dividing through by 2, we have
w = 52/2
w = 26 feet.
Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.
So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)
= 2(w + 22)
= 2(26 + 22)
= 2(48)
= 96 feet
So, the length of the four pieces of protective strip is 96 feet.
m-(5-3m)=7m+10
What is m?
Answer:−(5−3m)=7m+10
m+−1(5−3m)=7m+10(Distribute the Negative Sign)
m+(−1)(5)+−1(−3m)=7m+10
m+−5+3m=7m+10
(m+3m)+(−5)=7m+10(Combine Like Terms)
4m+−5=7m+10
4m−5=7m+10
Step 2: Subtract 7m from both sides.
4m−5−7m=7m+10−7m
−3m−5=10
Step 3: Add 5 to both sides.
−3m−5+5=10+5
−3m=15
Step 4: Divide both sides by -3.
−3m
−3
=
15
−3
m=−5
Step-by-step explanation:
brainliest pleaseee
HELPPPPP PLEASEEEEE
Classify the following pairs of equations given as parallel, perpendicular or neither on the basis of their respective slopes.
DRAG & DROP THE ANSWER
Parallel
Perpendicular
6 8
y=--
5
y = -3 +5
1 1
y = T +
2 2
y = -2% - 5
5 8.
y = =+
7
7
y = -x + 10
y = 2.0 + 5
y = 3x + 4
Neither
The slopes of each pair when analyzed shows us that; first is parallel; second and third are perpendicular and fourth is neither.
How to find the Slope of a Line?The general form of an equation in slope intercept form is;
y = mx + c
where m is the slope
1) The first pair shows that;
y = 6x/5 - 8/5
y = 6x/5 - 5
The slope in both cases is the same and so they are parallel.
2) The second pair of equations shows that;
y = (1/2)x + (1/2)
y = -2x - 5
Both slopes are negative reciprocals of each other and so they are perpendicular.
1st and 3rd box is for perpendicular
3) The third pair of equations shows that;
y = (5/7)x + (8/7)
y = -(7/5)x + 10
Both slopes are negative reciprocals of each other and so they are perpendicular.
1st and 3rd box is for perpendicular.
4) The third pair of equations shows that;
y = 2x + 5
y = 3x + 4
Both slopes are neither parallel nor perpendicular to each other.
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help plz...........................
Answer:So its simple just forget about the letters add the numbers then place the letter and x
Step-by-step explanation: ( Always Parentheses first) Then i think you divide it by the outside number
Answer:
in order of the picture:
18w+8 -48x-24
16d+20 -48p-18
6v-16 25m-10
-24z+16 -9n+36
10d-2 -36k-36
-14j-10 -9b+6
24j-9 3v+5
-72v-16 18h-72
-20f+32 -7x+8
4p-6 45t+72
Step-by-step explanation:
Hope this helps.
If the sum of four consecutive numbers is 1998, what is the third one?
Answer:
[tex]\huge\boxed{500}[/tex]
Step-by-step explanation:
In order to solve this, we have to note that consecutive numbers are numbers that are one more than the last.
If our first number is represented as [tex]n[/tex], then we know that the next number will be [tex]n+1[/tex], the next will be [tex]n+2[/tex], and so on.
Since we want 4 numbers, we can create the equation:[tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]
Now we want to solve for [tex]n[/tex]. It's important to note that [tex]n[/tex] is our first number.
Combine like terms:
[tex]4n+6=1998[/tex]
Subtract 6 from both sides:
[tex]4n=1992[/tex]
Divide both sides by 4:
[tex]n = 498[/tex]
We want the third number in the set of these four numbers. Looking back to our equation ([tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]) we can see that the third term here is [tex]n+2[/tex]
[tex]498+2=500[/tex]
Hope this helped!
22) Kelly is 8 years younger than her sister. The sum of their ages is 44 years. How old is Kelly and how
old is her sister?
Answer:
Kelly is 18.
Her sister is 26
Step-by-step explanation:
44 - 8 = 36
36/ 2 = 18 (kelly)
18 + 8 = 26 (her sister)
Kelly is 18 years and her sister is 26 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Kelly is 8 years younger than her sister.
The sum of their ages is 44 years.
let the age of Kelly's sister be x.
So, the age of Kelly is x- 8
Now, the sum of their ages is 44.
So, x+ x-8 = 44
2x = 52
x= 26
Hence, Kelly is 18 years and her sister is 26 years old.
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What is the constant of 2x+3y+6
Answer:
6
Step-by-step explanation:
Constants are any numbers that don't change.
2x + 3y + 6
Since "6" is the only number here, that is the only constant.
Best of Luck!
Answer:
6
Step-by-step explanation:
1C. When you review your monthly checking account statement, which
statement below would indicate that you deposited more money than you
spent?
Your previous balance is higher than your ending balance
Your fees are greater than your starting balance
O Your withdrawals are larger than your fees
Your ending balance is higher than your previous balance
Answer:
Your ending balance is higher than your previous balance
Step-by-step explanation:
An account statement is prepared periodically or on request by banks for the consumption of their customers.
This is a record of income and withdrawals on that account.
If at the end of a given period of time, the ending balance of the period is greater than the previous balance, then the account holder has deposited more money than he/she spent. Hence the answer.
∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =
Answer:
m∠2 = 103°
Step-by-step explanation:
Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180 :)
Help please!!!!!!!!!!!
Answer:
375.6
Step-by-step explanation:
If 10 pounds of sugar Cost $12 , how much would one pound of sugar cost?
Answer:
$1.2
Step-by-step explanation:
12 / 10 pounds = 1.2
Answer:
$1.20
12/10= 1.2
Step-by-step explanation:
can some one explain how this would be congruent will mark brainly
Answer:
Add the area of each object.
Step-by-step explanation:
a=4 (add up the two squares in the middle. Then, add up the triangles.)
b=4 (add up the two squares in the middle. Then, add up the triangles.)
In conclution, they are both congruent but just rotated differently.
Mary wants to buy a laptop that costs $152.75. If she can save $11.75 a week working at the motel, how many weeks will Mary have to work in order to buy the laptop?
Answer: 13 weeks
Step-by-step explanation:
152.75÷11.75=13
13×11.75= 152.75
What are the solutions for the given equation ?⬇️
x^2- 6x + 12 = 0
A garden has a perimeter of 56 square feet. The width of the garden
is, x, feet and the length of the garden is 2x -2. What is the value of
x? What is the length and width of the garden?
Answer:
98
Step-by-step explanation:
As it is a little bit of a few questions about the other one I have to the store go back tomorrow and will get back tomorrow and I have been working
You want to make bouquets of balloons. You choose 15 and 12 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the balloons? Estimate how much you will earn if you sell each bouquet for $3.99.
Answer:
3 ; $11.97
Step-by-step explanation:
Given that:
Balloon options : 15 and 12
Every bouquet has same number of each color :
Greatest possible number of bouquet possible using all the balloons :
Greatest common factor of both 15 and 12:
15 : 1, 3, 5, 15
12 : 1, 2, 3, 4, 6, 12
Hence the greatest common factor of both 15 and 12 is 3
Hence,
Greatest possible number of bouquet possible using all the balloons = 3
If each bouquet is sold for $3.99 :
Earning will be :
Number of bouquet * price per bouquet
3 × $3.99
= $11.97
If EF equals 2X -12, FG equals 3X -15 and e.g. equals 23 find EF
Which of the following functions could be f(x) ?
Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
[A] - x^4
When x is +∞ --> - (∞)^4 --> f(x) is -∞
When x is -∞ --> - (-∞)^4 --> f(x) is -∞
[B] - x^3
When x is +∞ --> - (∞)^3 --> f(x) is -∞
When x is -∞ --> - (-∞)^3 --> f(x) is ∞
[C] 2x^5
When x is +∞ --> 2(∞)^5 --> f(x) is ∞
When x is -∞ --> 2(-∞)^5 --> f(x) is -∞
[D] x^4
When x is +∞ --> (∞)^4 --> f(x) is ∞
When x is -∞ --> (-∞)^4 --> f(x) is ∞
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
Simplifying Products and Quotients of Powers
HELP(look at picture)ASPAP WORTH 20 POINTS WILL GIVE BRAINLIEST!
Answer:
a = 10 b = 6
Step-by-step explanation:
7^2 * 7^8
----------------
7^4
We know that a^b* a^c = a^( b+c)
7^(2+8)
----------------
7^4
7^(10)
----------------
7^4
We know that a^b / a^c = a^(b-c)
7^(10-4) = 7^6
what is the slope of the line through (-7.-2) and (-6,7)
Answer:
gradient = 9
Step-by-step explanation:
Answer:
[tex]\boxed {\tt m=9}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (-7,-2) and (-6,7). Therefore,
[tex]x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7[/tex]
Substitute the values into the formula.
[tex]m=\frac{7--2}{-6--7}[/tex]
[tex]m=\frac{7+2}{-6+7}[/tex]
Solve the numerator by adding 7 and 2.
[tex]m=\frac{9}{-6+7}[/tex]
Solve the numerator by adding 7 to -6.
[tex]m=\frac{9}{1}[/tex]
Divide 9 by 1.
[tex]m=9[/tex]
The slope of the line is 9.
Complete this item.
Identify ∠1 and ∠ 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Solve for y.
- 7y +1 > 22 OR -10y +41 > 81
Answer:
- 7y +1 > 22 answer is y<−3
-10y +41 > 81 answer is y<−4
I need these answers ASAP
Answer:
irratrrational Numbers
whole
real
Step-by-step explanation:
In segment JK, JH = 4x - 15 and HK = 2x +3, where H is between J and K on segment JK.
If JK = 48, find the value of x.
The value of the x in the line segment will be 10.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that In segment JK, JH = 4x - 15 and HK = 2x +3, where H is between J and K on segment JK. The value of JK is 48.
For the line segment we can form the expression below:-
JK = JH + HK
JK = 4x - 15 + 2x + 3
JK = 6x - 12
48 = 6x - 12
6x = 48 + 12
6x = 60
x = 60 / 6
x = 10
Therefore, the value of the x in the line segment will be 10.
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The rule T14 Ro 100-(x, y) is applied to rectangle KLMN Which rectangle shows the final image? 1 2 3 4
Answer:
C. 3
Step-by-step explanation:
After deconstructing the question at the end of the quiz, you can see the correct answers
Answer:
the third figure
Step-by-step explanation:
edge 2020
Will the border line of the graph of y < - 2 + 4x + 5 be a solid line or a broken
line?
Answer:
broken (or dotted)
Step-by-step explanation:
y will only be less than 2 + 4x + 5
never equal to it
Convert the angle measure 40° to a radian measure?
Answer:
The answer is
[tex] \frac{2\pi}{9} \\ [/tex]Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by [tex] \frac{\pi}{180} [/tex] .
From the question the value is 40°
It's equivalent in radians is
[tex]40 \times \frac{\pi}{180} = \frac{40\pi}{18 0} = \frac{2\pi}{9} \\ [/tex]
We have the final answer as
[tex] \frac{2\pi}{9} \\ [/tex]
Hope this helps you
divide u by 3, then multiply 7 by the result
Answer:
( u ÷ 3) times 7
Step-by-step explanation:
Must know what u equals to find actual answer to equation.