Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
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Negative nine is greater than or equal to the sum of two - fifths times a number and 9.
Answer:
W is either -22.5, or less than -22.5
Step-by-step explanation:
-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)
W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.
2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5
W can then be anything "lower" (on the left side) of -22.5.
W<-22.5
Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,
box 1: 1/4
first arrow: - (less than)
second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)
box 2: 1/4
third arrow: same as second arrow
last arrow: =
box 3: 104 ÷ 1/4 = 416
message if you dont understand
hope this helped
The inequality shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Nine less than the product of a number n and 1/4 is no more than 95.
Let the number be n.
Now,
No more than means,
We have less than, greater than, and equal to.
We can use less than and equal to.
The inequality can be written as,
1/4 x n - 9 ≤ 95
(1/4)n - 9 ≤ 95
Add 9 on both sides.
(1/4)n ≤ 95 + 9
(1/4)n ≤ 104
Multiply 4 on both sides.
n ≤ 416
Thus,
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
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Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?
Answer:
20%
Step-by-step explanation:
40 pieces total
32 pieces eaten
40 - 32 = 8
8 pieces not eaten
Percentage = (part / whole) x 100%
Percentage = (8 / 40) x 100% = 0.2 x 100%
Percentage = 20%
URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?
Answer:
The company should not make 300 bicycles.
Step-by-step explanation:
Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:
[tex]P(y) = R(y) - C(y)[/tex] (1)
If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:
[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]
[tex]P(y) = y^{2}-99500[/tex] (2)
The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:
[tex]P(300) = 300^{2}-99500[/tex]
[tex]P(300) = -9500[/tex]
The company should not make 300 bicycles.
Hace 9 meses que no llueve cual es el número entero
hnAnswer:
gjunn
Step-by-step explanation:
Answer:
en un menos de 9 meses
ya que es desmunusion es de 0
Given f(x) = -(x - 5)^2 + 1, what is the value of a?
what number goes into 105 and 90
Answer:
15
Step-by-step explanation:
Yw
Answer:
5
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
y=x+69
Answer:
y=x+69
Step-by-step explanation:
5+69=74
6+69+75
etc.
1 4/5 divided by 2 7/10
Answer:
2/3Step-by-step explanation:
In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.
So it would be 1 4/5 times the reciprocal of 2 7/10.
Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.
So 1 4/5 x 10/27 = 2/3
Answer:
2/3
Step-by-step explanation:
1 4/5 ÷ 2 7/10
Convert these into improper fractions
(Denomintaor × whole number + numerator)/denoninator
(5 × 1 + 4)/5
9/5
(10 × 2 + 7)/10
27/10
Now the equation says:
9/5 ÷ 27/10
Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction
9/5 × 10/27
Multiply the numerators and denominators separately
(9 × 10)/(5 × 27)
90/135
Simplify
Both 90 and 135 can evenly fit 15
90 ÷ 15 = 6
135 ÷ 15 = 9
6/9
This can still be simplified further
Both 6 and 9 can evenly fit 3
6 ÷ 3 = 2
9 ÷ 3 = 3
2/3
This cannot be simplified any further
Solve x for -2x- 1 = -7
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
There are 15 books on a shelf. 9 of these books are new. The rest of them are used.
Answer: 7
Step-by-step explanation:
15-9 =
9 10 11 12 13 14 15
1 2 3 4 5 6 7
7 books were used.
Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*
d = the number of days
c = the total cost of lunch
What is the answer?
Answer:
The dependent variable is c
Step-by-step explanation:
The cost of lunch changes with each day, so the cost depends on the number of days
Answer:
i agree c is the total cost
Step-by-step explanation:
729 ÷ 0.9
Do the solution
If its right i will make
You the brainliest
Answer:
Here's your ans
hope it helps you
Simplify -3a + 5b - c given a = 2, b = -1 and c= 10
Answer:
-21
Step-by-step explanation:
-3a + 5b - c
-3(2)+5(-1)-(10)=-21
There are more than one answer help me and I give brainilest
Answer:
Equivalent to a), b), and d). It is NOT equivalent to c).
Step-by-step explanation:
6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!
how is 3 x 3/6 the same as 9 x 1/6
Answer:
3/1 times 3/6 = 9/6
9/1 times 1/6 = 9/6
Step-by-step explanation:
You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you use to represent the money you have after 'w' weeks?
Answer:yes 12 +5
Step-by-step explanation:Idrk
Answer:
12 + 5
Step-by-step explanation:
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
What is the percent of increase from 25 to 26?
Answer:
4 percent
Step-by-step explanation:
because the new value is greater than the old value
The Answer is 4 percent
Why is it important that you put the polynomial in standard form (largest power
to smallest-power)? *
Answer: Polynomials like to be written in standard form. This means they contain no like terms and the exponents are in descending order (largest to smallest).
Step-by-step explanation:
A group of college students believes that herbal tea has remarkable restorative powers. To test its theory, the group makes weekly visits to a local nursing home, visiting with residents, talking with them, and serving them herbal tea. After several months, many of the residents are more cheerful and healthy.
1. The lurking variable in this experiment is
a. visits of the college students.
b. the fact that this is a local nursing home.
c. herbal tea.
d. the emotional state of the residents.
2. The explanatory variable in this experiment is
a. visits of the college students.
b. herbal tea.
c. the emotional state of the residents.
d. the fact that this is a local nursing home.
3. Which of the following may be correctly concluded from this study?
a. The results of the study are not convincing because only a local nursing home was used and only for a few months.
b. Herbal tea does improve one's emotional state, at least for the residents of nursing homes.
c. There is some evidence that herbal tea may improve one's emotional state. The results would be completely convincing if a scientist had conducted the study rather than a group of college students.
d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.
Answer:
1. a. visits of the college students.
2. b. herbal tea.
3. d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.
Step-by-step explanation:
1. The lurking variable in this experiment is - a. visits of the college students.
2. The explanatory variable in this experiment is - b. herbal tea
3. Which of the following may be correctly concluded from this study - d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.
HELP ME!!!!!!!!!!!!!!
Answer:
i wanna say it would be 1,735-3%y
Plz helpppp!!!!! Much love
Answer:
B.
Step-by-step explanation:
Select the most appropriate response. An event A will occur with probability 0.4. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.20. We may conclude Question options: that events A and B are independent. that events A and B are dependent. that either A or B always occurs. that events A and B are mutually exclusive.
Answer:
Events A and B are dependent
Step-by-step explanation:
If A and B are two events such as A and B are dependent then
P(A∩B) [tex]\neq[/tex] P(A) P(B)
An event A will occur with probability 0.4 that is [tex]P(A)=0.4[/tex]
An event B will occur with probability 0.6 that is [tex]P(B)=0.6[/tex]
[tex]P(A)P(B)=0.4(0.6)=0.24[/tex]
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) [tex]\neq[/tex] P(A) P(B)
So,
events A and B are dependent
According to the given probabilities, it is found that events A and B are dependent.
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the probabilities given are:
[tex]P(A) = 0.4, P(B) = 0.6, P(A \cap B) = 0.2[/tex]
The multiplication is:
[tex]P(A)P(B) = 0.4(0.6) = 0.24[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], the events A and B are dependent.
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What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)
Fine the slope of the line perpendicular to the line graphed below
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.
The slope of the line perpendicular to the one shown below will be [tex]-\frac{1}{2}[/tex] because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.
Two sides of a right triangle measure 2 units and 4
units.
What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared
Hey there!
The answer is √20 or approximately 4.47
We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:
[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]
Have a terrifcly amazing day!
please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answer:
C 89a + 2c)
Step-by-step explanation:
The largest factor of both 8 and 16 is 8. So, 8 = GCF
factor out an 8 and you get 8(a + 2c)
To check if you are correct, multiply and see if you get what you started with.
Answer
Step-by-step explanation: your answer would be -42 so heres how i did it: Evaluate for a=−5,c=−1
(8)(−5)+(2)(−1)
(8)(−5)+(2)(−1)
=−42
7283
+3124
----------
Answer:
10407
Step-by-step explanation:
what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
