Answer:
AB = 13Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points A(-1, -3) and B(11, -8).
Substitute:
[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]
What is the length of one leg of the triangle?
11 units
11/units
22 units
22/2 units
Answer:
The length of one leg of the triangle is 22 units
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the length of one leg of the triangle
we know that
In the right isosceles triangle of the figure
The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse
[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A
[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B
equate equation A and equation B and solve for x
[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]
therefore
The length of one leg of the triangle is 22 units
what is the answer?show work
Answer:
19
Steps:
1 - 7 + [tex]5^2[/tex]
-6 + [tex]5^2[/tex]
-6 + 25
19
-3x² - 4x – 8=0
Does anyone know how to solve this?
Answer:
That is a quadratic equation.
It can be solved by using the quadratic formula:
x = (-b +-sqr root b^2 -4*a*c) / 2 *a
In this equation a = -3
b = -4 and c = -8
x = (--4 +- sqr root (-4^2 - 4 * -3 * -8)) / (2 * -3)
x = (4 +- sqr root (16 -96)) / -6
x = 4 +- sqr root (-80) / -6
x1 = (4 +8.94427191 * i) / -6
x2 =(4 -8.94427191 * i) / -6
Remember that "i" is the square root of minus 1.
Step-by-step explanation:
1.98x=11.88 what does x equal?
Answer:
6
Step-by-step explanation:
Look at picture for help solving it.
What is the range of y= square root x+7+5?
Answer:
12x
Step-by-step explanation:
7+5+x
7+5=12
12+x=12x
X can be any thing so whatever the two variables are use that to get y
Answer:
The range is y≥ 5
Step-by-step explanation:
solve the equation for x. Round your answer to the nearest hundredth 8(x-7)=454
Answer: 63.75 or 225/4
I just did it on an IT Inspired inspired Calculator to solve for X and 63.75
Step-by-step explanation:
8(x - 7) = 454
x - 7 = 454/8
x - 7 = 57
x = 57 + 7
x = 64
Find m2ABC.
(2x)=(5x+5)
OPTIONS
25
60
50
130
Answer:
130°
Step-by-step explanation:
[2x] + [5x + 5] = 180
7x + 5 = 180
- 5 - 5
_____________
7x = 175
__ ____
7 7
x = 25
[tex]5(25) + 5 = 125 + 5 = 130[/tex]
I am joyous to assist you anytime.
What is the solution to the equation? 15= -x/5
A.3
B.75
C.-75
D. -3
Answer:
C.-75
Step-by-step explanation:
15=-x/5
(15)*(5)=-x
75=-x
x=(-1)*75=-75
Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, she can work no more than 13 total hours and must earn no less than $180. If Madelyn worked 8 hours lifeguarding, determine all possible values for the number of whole hours clearing tables that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours
Step-by-step explanation:
* Lets explain how to solve the problem
- Madelyn is making $20 per hour life guarding
- She is making $12 per hour clearing tables
- She can work no more than 13 total hours
∴ The greatest time she can work is 13 hours (≤)
- She must earn no less than $180
∴ The least money she wants to earn is $180 (≥)
- If Madelyn worked 8 hours life guarding and assume that she
worked x hours clearing tables
∵ She can work no more than 13 hours
∴ 8 + x ≤ 13
- Subtract 8 from both sides
∴ x ≤ 5 ⇒ (1)
∵ She must earn no less than $180
∴ 8 × 20 + x × 12 ≥ 180
∴ 160 + 12x ≥ 180
- Subtract 60 from both sides
∴ 12x ≥ 20 ⇒ (2)
- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5
- Substitute x in equation (2) by these values to find the right values
of x
# If x = 1
∴ 12(1) ≥ 20
- But 12 is less than 20
∴ x can not be 1
# x = 2
∴ 12(2) ≥ 20
∴ 24 ≥ 20
- 24 is greater than 20 then x can be 2
∵ 3 , 4 , 5 greater than 2
∴ All of them give answers greater than 20
∴ x can be 3 , 4, 5
∵ x represents the number of hours for clearing tables
∴ The possible values of the number of hours clearing tables are
2 , 3 , 4 , 5 hours
Madelyn can work 2, 3, 4, or 5 hours clearing tables to meet her requirements. This ensures she earns at least $180 while working no more than 13 total hours. The calculations consider her earnings from both jobs and time constraints.
Let's determine the possible values for the number of hours Madelyn must work clearing tables to meet her requirements. We know the following:
Madelyn earns $20 per hour lifeguarding.Madelyn earns $12 per hour clearing tables.She can work no more than 13 total hours.She must earn no less than $180.She worked 8 hours lifeguarding.First, calculate the earnings from lifeguarding:
[tex]\[8 \times \$20/hour = \$160\][/tex]Now, let x be the number of hours she works clearing tables. To meet the requirement of earning no less than $180, we set up the following inequality:
[tex]\[160 + 12x \geq 180\][/tex]Subtract 160 from both sides:
[tex]\[12x \geq 20\][/tex]Divide both sides by 12:
[tex]\[x \geq \frac{20}{12}\][/tex]Which simplifies to:
[tex]\[x \geq 1.67\][/tex]Since x must be a whole number, the minimum value for x is 2. Now, considering the total hours she can work (no more than 13), calculate the maximum value for x:
[tex]\[8 \text{ hours lifeguarding} + x \text{ clearing tables} \leq 13 \text{ hours}\][/tex]This gives us:
[tex]\[8 + x \leq 13\][/tex]Subtract 8 from both sides:
[tex]\[x \leq 5\][/tex]So, the possible values for the number of hours she could work clearing tables are:
2, 3, 4, or 5Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Since we know the line goes through points [tex](8,9)[/tex] and [tex](2,4)[/tex], we can construct a line in slope-intercept form
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.
The slope can be found using the two points provided:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]\frac{9 - 4}{8 - 2}[/tex]
[tex]\frac{5}{6}[/tex]
The line is now represented as
[tex]y = \frac{5}{6}x + b[/tex]
To solve for [tex]b[/tex], we can plug in one of the two points:
[tex]y = \frac{5}{6}x + b[/tex]
[tex](9) = \frac{5}{6}(8) + b[/tex]
[tex]4 = \frac{20}{3} + b[/tex]
[tex]b = \frac{-8}{3}[/tex]
We know have our line:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
To determine if the point [tex](-4, 3)[/tex] falls on this line, we just plug the numbers into the equation and see if it holds true:
[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]
[tex](3) = \frac{5}{6}(-4) - \frac{8}{3}[/tex]
[tex]3 = \frac{-10}{3} - \frac{8}{3}[/tex]
[tex]3 = \frac{-18}{3}[/tex]
[tex]3 = -6[/tex]
This does not hold true, so the point is not on the line.
4−(2x+4)=5
pls help:)
Answer:
The answer would be -2 1/2
Step-by-step explanation:
The sum of a number and 9 is 12.
Answer:
x=3
Step-by-step explanation:
You take 12-9 to get 3 :)
Answer:
[tex]3[/tex]
Step-by-step explanation:
Simple, all you have to do is backwards equation. If the sum is 12. Subtract 12 by one of the numbers given.
[tex]12 - 9[/tex]
[tex]==> 3[/tex]
[tex]3 + 9 = 12[/tex]
What is a multiplication expression with a product of 5 to the power of 13
Answer:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
Step-by-step explanation:
I count on equal steps my first number is -2 my fifth number is 26 what’s my third number
Answer:
12
Step-by-step explanation:
28 / 4 = 7
1) -2
2) -2+7=5
3) 5+7=12
4) 12+7=19
5)19+7=26
When moving in equal steps from -2 to 26 over four steps, each step increases the value by 7. Therefore, after two steps from -2, the third number you reach is 12.
Explanation:The question is about stepping evenly or moving in equal intervals from an initial number. Given that the first number is -2 and the fifth number is 26, we need to determine what the third number would be. Taking -2 being the first and the fifth being 26 means there are 4 steps between them. To find the equal steps between, you need to subtract -2 from 26 and divide by 4 (the steps in between), which gives you 7. This means each step increases the value by 7. Therefore, the first number is -2, the second number is -2+7 = 5, and third number is 5+7=12.
Learn more about Stepping in Equal Intervals here:https://brainly.com/question/32415034
#SPJ2
the answer for 6 + 4 ( 2 + 3 ) 2
Answer:
106Step-by-step explanation:
[tex]6+4\cdot(2+3)^2[/tex]
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]6+4\cdot(2+3)^2\\\\=6+4\cdot(5)^2\\\\=6+4\cdot25\\\\=6+100\\\\=106[/tex]
A line passes through the point (–3, 4) and its y-intercept is (0, –2). What is the equation of the line that is parallel to the given line and passes through the point (–5, 2)?
Answer:
y = - 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
• Parallel lines have equal slopes, hence slope of parallel line = - 2, thus
y = - 2x + c ← partial equation of parallel line
To find c substitute (- 5, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = - 2x - 8 ← equation of parallel line
Evaluate the expression when m = 6 and n = 31.
Answer:
7
Step-by-step explanation:
n-4m= 31 - 4(6) = 31 -24 = 7
Figure 1 is reflected over the x-axis and then reflected over the line x = k to produce Figure 2. What is the value of k?
Answer: try negative three-3 hope this helps you!
Step-by-step explanation:
A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 172 cats.
If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
A. x < 7
B. x < 28
C. x < 50
D. x < 24
Answer:
A. x<7
Step-by-step explanation:
B. x < 28
C. x < 50
D. x < 24
These answers exceed the cat adoption facilities cat limit.
Rate as Brainliest plz
Answer:
A. x<7
Step-by-step explanation:
We know three things:
The facility takes 4 cats per dayThe facility has to keep the occupancy below 200Currently, the facility has 172 catsNow we want to know how many more days the facility can continue to take in cats if none of their cats get adopted.
First, we want to know how many cats until the facility exceeds the occupancy and to do it we have to subtract the occupancy minus the cats they already have:
200 - 172 = 28
With this answer, we know that if they get 28 more cats they will have 200 cats and the occupancy has to be below 200.
Now we want to know how many days will it take them to get 28 more cats:
We know that every day they get 4 cats, so we are going to divide the number of cats to get 200 by the number of cats they get every day:
28(cats) / 4(cats per day) = 7 days
So in 7 days, they will pass their occupancy, which means that they can only take cats less than 7 days.
The expression will be:
x < 7
Where:
x is how many more days they can take in cats
< means less than
At a company that markets televisions, marketers learn that many of the consumers who are willing to pay for high-quality televisions are sports fans. Which of the following would be the best way for the marketers to apply their knowledge of consumer behavior?
A.Charge a price that all customers can afford
B.Associate their brand with a reference group of star athletes
C.Run ads to change consumers' attitudes about sports
D.Try to shorten the consumer decision-making process
Answer:
B.Associate their brand with a reference group of star athletes
Step-by-step explanation:
At a company that markets televisions, marketers learn that many of the consumers who are willing to pay for high-quality televisions are sports fans.
B.Associate their brand with a reference group of star athletes.
This seems the most appropriate answer. When a brand is associated with someone we like, it is very likely that we use the same products like that person.
PLEASE HELP!
5. Len plans to invest money he has saved so that he can earn $100 interest in one year. He will deposit some of his money in an account that
pays 4%/year. He will use the rest of his money to buy a one-year GIC that pays 5%/year.
a) Write an equation for Len's situation, anddraw a graph.
b) Suppose that Len buys a GIC for $1500.
Use your graph to determine how much
he would need to put in the account.
c) Suppose that Len deposits $2200 in the account. Determine how much he would need for the GIC.
Answer:
Step-by-step explanation:
Answer from:
answer:
a little over 31hours
step-by-step explanation:
use simple proportion
58miles = 1hr
1805miles = ?
(1805x1)/58 = 31.12hrs
since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer
Answer:
a little over 31hours
Step-by-step explanation:
Which pair of expressions are equivalent?
6t+5+ 2t and 11t+5
P+3+ 2p and 5t+3
3n+7+n and 4n+ 7
2X+2+7x and 9x+7
Answer:
3n + 7 + n and 4n + 7
Step-by-step explanation:
Answer:
C. 3n+7+n and 4n+ 7
Step-by-step explanation:
hope this helps! edge2021!
-|7 - 10|
Evaluate the following expression
|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3
Use Math Tools Terrell had a chain of
56 paper clips. Some of the paper clips fell off. Now there
are 38 paper clips in the chain. How many fell off?
Brain Builders
9. Li counts 203 stars in the sky. The next night, she counts 178 st
After three nights, she had counted a total of 500 stars. How m
Answer:
I know only answer for the first one
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
Billy and Maria ordered flyers to advertise the school dance. Flyers cost $8.75 for the
first 50, and $1.50 for each additional 10. The bill was $19.25. How many flyers did
they order?
Answer:
120
because they got 50 for 8.75 and if you add 1.50 until you get to 19.25 you would get 120
EF=4x-15,FG=5x+7 and EG=46 find the value of EF
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers..
Answer:
first = 65
second = 325
Third = 165
Step-by-step explanation:
Let the first number = x
first: x
second: 5x
Third = x + 100
first + second + third = 555
x + 5x + x + 100 = 555 Combine
7x + 100 = 555 Subtract 100 from both sides
7x + 100 - 100 = 555 - 100
7x = 455 Divide by 7
7x/7 = 455/7
x = 65
Help please! There is an image attached below
Answer:
C
Step-by-step explanation:
The absolute value always returns a positive value, that is
| - a | = | a | = a, thus
| 3 [tex]\frac{1}{2}[/tex] | = 3 [tex]\frac{1}{2}[/tex] → C
Which of the following best describes the graph above?
A.
neither a relation nor a function
B.
both a relation and a function
C.
relation only
D.
function only
The answer is B. both a relation and a function.
Relation: A relation is any set of ordered pairs. It shows how values in the x-axis (domain) are related to values in the y-axis (range). The graph visually represents a relation because it shows pairs of x and y values.
Function: A function is a specific type of relation where each input (x-value) has exactly one output (y-value). In other words, no x-value can be paired with two different y-values.
Vertical Line Test: To determine if a graph represents a function, you can use the vertical line test. If you can draw any vertical line that intersects the graph more than once, it's not a function. If every vertical line intersects the graph at most once, it's a function.
Applying the Vertical Line Test: I'm able to see the graph you sent. When I apply the vertical line test to this graph, I can see that every vertical line intersects the graph at only one point. This means that each x-value has only one corresponding y-value, satisfying the definition of a function.
Therefore, the graph represents both a relation (because it shows pairs of x and y values) and a function (because each x-value has only one corresponding y-value).
The option that best describes the graph is:
B. both a relation and a function
How to identify a function?
A relation is a set of ordered pairs that express a relationship between elements of sets. Meanwhile, a function is a type of relation where each element in the domain is related to exactly one element in the codomain.
In this case, the line represents the equation y = 5.
The equation y = 5 represents a function. A function is a relation in which each input value (x) leads to exactly one output value (y) .
In the case of y = 5, no matter what the input (x) is, the output (y) is always 5, satisfying the definition of a function. Therefore, y = 5 is a function and a relation.
I accidentally click an answer but what would the answer be? I’m on a time limit!! Need help ASAP thank u!
Hey!
-----------------------------------------------------------
Solution:
= 7√3 + 2√9
= 7√3 + 6
= 18.124... (Non-Terminating or Irrational)
When we add a rational number and a irrational number it's always irrational.
-----------------------------------------------------------
Answer:
The answer 7√3 + 6 is irrational because the sum of a rational number and irrational number is an irrational number.
-----------------------------------------------------------
Hope This Helped! Good Luck!
Answer:
d) The sum of an Irrational number and a Rational Number is still an Irrational Number
Step-by-step explanation:
[tex]7\sqrt{3}+2\sqrt{3^2}=7\sqrt{3}+6[/tex]
Rational Number = Any number that can be written as a quotient a/b form
Irrational Number =Any number that cannot be written as quotient a/b form
Since we have an Irrational number such as [tex]7\sqrt{3}=7*1.73....[/tex]it's another non-terminating and non-repeating number if I add 6 (rational number since 6=6/1) units to as addend to this sum is still an irrational number as the sum.