Hi, I'm happy to help!
To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.
The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.
First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, so we move 8 x units.
Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, so we move 4 y units.
Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.
Let's say x distance is a, and y distance is b. Now, apply the values:
8²+4²=c²
64+16=c²
80=c²
Now, we need to find the value of c, so we need to find the square root of 80.
√80=c
8.9442...=c
Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.
To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.
I hope this was helpful, keep learning! :D
Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive
Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48
Determine the quotient of .    
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
Manish writes the functions g(x) = ^3 sqrt - x - 72 and h(x) = -(x+72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Here we want to find the expressions we need to use to see if the functions g(x) and h(x) are inverses of each other.
The correct option is the last one, counting from the top.
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
In this case, we have the functions:
g(x) = ∛(-x) - 72
h(x) = -(x + 72)^3
Then the expressions we need to check are:
g( h(x) ) = ∛(-h(x)) - 72 = ∛(+(x + 72)^3) - 72 = (x + 72) - 72 = x
h( g(x) ) = -(g(x) + 72)^3 = -(∛(-x) - 72 + 72)^3 = -(∛(-x) )^3 = x
So we found that the two expressions needed are:
∛((x + 72)^3) - 72 and -(∛(-x) - 72 + 72)^3
Then the correct option is the last one, counting from the top.
If you want to learn more, you can read:
https://brainly.com/question/10300045
Answer:
GUYS ITS C THAT IS THE ANSWER
To earn $60 for the skateboard, Waheeda decides to run a lemonade stand. If she sells each glass of lemonade for $1.50, how many glasses of lemonade will she need to sell? Write and solve an equation to find the answer.
Cost of skateboard : $60
Cost of each lemonade = $1.50
Total glasses of lemonade to be sold = 60/1.5
= 60/15×10
= 4×10
= 40
Therefore she has to sell 40 glasses of lemonade
Must click thanks and mark brainliest
The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
A. length is 80 yards and the width is 45 yards.
B. length is 115 yards and the width is 10 yards.
C. length is 70 yards and the width is 60 yards.
Answer:
A lengthy is 89yards and the width is 45yards
What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
Answer:
a
Step-by-step explanation:
a
(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?
a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.
b. The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
From the question,
The data for the first week are
Week 1: 12, 8, 10, 9, 12
and for the second week
Week 2: 8, 7, 12, 9, 10
Putting the data together, we have
12, 8, 10, 9, 12, 8, 7, 12, 9, 10.
Now,
]a. To determine the mean of the above data,
Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.
From the above, we have 10 numbers
∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]
[tex]Mean = \frac{97}{10}[/tex]
Mean = 9.7 minutes
For the median of the data
The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.
For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10
Arranging in ascending order, we get
7, 8, 8, 9, 9, 10, 10, 12, 12, 12.
Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.
∴ [tex]Median = \frac{9+10}{2}[/tex]
[tex]Median = \frac{19}{2}[/tex]
Median = 9.5 minutes
For the mode of the data
The mode is the value that occurs most often.
From the data, 12 occurs most often (three times)
∴ Mode = 12 minutes
For the range of the data
Range is the difference between the highest and lowest values.
From the data
Highest value = 12
Lowest value = 7
∴ Range = 12 - 7
Range = 5 minutes
b. For the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day.
Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.
∴ The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Hence,
From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes
and the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Learn more here: https://brainly.com/question/16882439
You roll a cube which has the numbers 9, 10, 12, 15, 17, and 18 on it You then spin a spinner which has 4 sections. The letters on the spinner are H, K, F, and A. P(F and 17)
Answer:
Step-by-step explanation:
The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different
That means you have 6 numbers and 4 letters.
You have a 1/6 chance of throwing the 17
You have a 1/4 chance of spinning the F
P(F and 17) = 1/6 * 1/4 = 1/24
The area of each square below is 1 square unit.
Write (2X -5)^2 as a tri nominal
Answer:
(2X -5)^2 as a tri nominal:
2x+2x-10
Answer:
4x² - 20x + 20
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
a = 2x ; b = 5
(2x- 5)² = (2x)² - 2*2x*5 + 5² {(2x)² = 2x * 2x = 4x²}
= 4x² - 20x + 25
Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply. –5 –4 –3 –1 3 5
hi
(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )
= ( x+5) (x +1)
so
solutions are : x+5=0 so x=-5
x+1= 0. so x= -1
solution are -5 +and -1
) After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of her total shots did she make?
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
Math! Need help will give brainliest if CORRECT
Hey there! I'm happy to help!
So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.
So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.
-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.
Have a wonderful day and keep on learning! :D
What is the domain of the rational function f of x is equal to 2 x over the quantity 2 x cubed minus 5 x squared minus 12 x end quantity
x is an element of all real numbers such that x is not equal to 0
x is an element of all real numbers such that x is not equal to negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma three halves comma negative 4
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
----------------------
The domain of a function is all possible values that the input value x can assume.The domain of a fraction is all real values of x except the zeros of the denominator.----------------------
The function is:
[tex]f(x) = \frac{2x}{2x^3 - 5x^2 - 12x} = \frac{2x}{x(2x^2 - 5x - 12)} = \frac{2}{2x^2 - 5x - 12}[/tex]
The points outside the domain are the zeros of [tex]2x^2 - 5x - 12[/tex], which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
----------------------
[tex]2x^2 - 5x - 12[/tex] is a quadratic equation with [tex]a = 2, b = -5, c = -12[/tex].
[tex]\Delta = b^{2} - 4ac = (-5)^2 - 4(2)(-12) = 121[/tex]
[tex]x_{1} = \frac{-(-5) + \sqrt{121}}{2(2)} = 4[/tex]
[tex]x_{2} = \frac{-(-5) - \sqrt{121}}{2(2)} = -\frac{6}{4} = -\frac{3}{2}[/tex]
----------------------
The domain is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.
A similar problem is given at https://brainly.com/question/13136492
Answer:
Step-by-step explanation:
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that , second option.
----------------------
The domain of a function is all possible values that the input value x can assume.
The domain of a fraction is all real values of x except the zeros of the denominator.
----------------------
The function is:
The points outside the domain are the zeros of , which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
----------------------
is a quadratic equation with .
----------------------
The domain is: x is an element of all real numbers such that , second option.
A similar problem is given at brainly.com/question/13136492
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
HELP !!! find the surface area of each figure. Round it to the nearest tenth.
Answer:
556
Step-by-step explanation:
Surface area=2*(lb+bh+lh)=2*(110+80+88)=556
5×12÷[-12÷{15+(4-3)}]
Answer: -80
Step-by-step explanation:
PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050
Answer:
25
Step-by-step explanation:
The graph is going up by 25 each block or point of the way, if im wrong, im sory
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?
A. 94
B. 96
C. 98
D. 100
Answer:
98
Step-by-step explanation:
Let x be the next test score
87, 92, 90, 84, 88, and 91, and x
We want to average them and the average to 90
(87+ 92+ 90+ 84+ 88+ 91+x)/7 = 90
Multiply each side by 7
(87+ 92+ 90+ 84+ 88+ 91+x)/7*7 = 90*7
(87+ 92+ 90+ 84+ 88+ 91+x) = 630
Combine like terms
x+532=630
Subtract 532
x = 630-532
x= 98
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. The number of women and the number of men included in the data
Step-by-step explanation:
The boxplot is a useful way to display data. It represents the distribution of data in a five-number summary. These five numbers include the minimum, first quartile, median, third quartile, and maximum. Respectfully, each line on the graph, from left to right, represents one of these numbers. However, because the graph only shows the distribution of data, it does not include the sample size.
Which of the following are irrational numbers?
5
8.555...
N
1
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
8.555.... is a irrationtional number .
A book cost Rs.950 is sold for Rs 980. find profit/loss%
Answer:
96.94%
Step-by-step explanation:
Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.
Answer:
96.94%
Step-by-step explanation:
45. Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cm' of water, what is the volume of the smaller one? A. 27cm3 B. 125cm3 C. 135cm3 D. 208cm3 E. 490cm3
Answer:
c 135cm^3 is the correct answer
Answer:
Step-by-step explanation:
volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³
please please help
Three guy wires are being used to support a radio tower. One end of each wire is
attached to the top of the radio tower and the other end is anchored to the
ground 50 m from the base of the tower. If the wire must make a 65° angle with
the level ground, what is the length of each guy wire?
Answer:
sorry. I dont know.
Step-by-step explanation:
sorry. I dont know.
grade 5
mathematics
Add:
[tex] {3 }^{2} + \sqrt{64 + 36} [/tex]
Which is the product of (x - 5)2?
A. x2 - 10x - 25
B. x2 - 10x + 25
C. x2 + 10x +25
D. x2 + 10x -25
Answer:
B
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25 → B
Answer:
Step-by-step explanation:
B..x2+10x+25
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
