Answer:
HJ = 15Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
HJ = 15
Hence the length of segment HJ is 15 units
Use the distributive property: (5x - 3y + 4)6
Answer:
30x - 18y + 24
Step-by-step explanation:
When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).
Owen follows the rule "divide by 2" to write the pattern below . He will write two more numbers to complete the pattern. Which statement is true? 800,400,200,100,_____
Answer:
50,25
Step-by-step explanation:
you continue to divide by 2 so 100/2 is 50 then 50/2 is 25
1 gallon is around 3.8 liters. State this as a ratio of liters to gallons, in the form a:b. Give your answer in simplest form
The ratio of liters to gallons in simplest form is 5 : 19.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 1 gallon is around 3.8 liters.
So, The ratio of liters to gallons in a : b form is 1 : 3.8
Or, 10 : 38,
Or 5 : 19.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
Given f(x) = x2 - 10x + 22, what is the domain of f
The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x² - 10x + 22
Now, We know that;
Domain of a function is defined as a set of value for which the value of function is real and defined.
Here, There is no points for x where the function f(x) is non defined.
Hence, Whole number line is the domain for the given function.
So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ5
PLS HELP
what would be an appropriate level for the dependent variable on this graph?
Answer:
Y-axis = scoops sold
X-axis = month
Solve for h: 7a=10+2h
Answer:
[tex] \frac{7a}{2} - 5 = h[/tex]
Step-by-step explanation:
[tex]7a = 10 + 2h[/tex]
Isolate 2h
[tex]7a - 10 = 2h[/tex]
Divide both sides of the equation by 2
[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]
Simplify
[tex] \frac{7a}{2} - 5 = h[/tex]
Increase £36.00 by 10%
Answer:
3.6
Step-by-step explanation:
10% = .10
36 * .10 = 3.6
Solve the equation 3x-7=x+23
Answer:
x = 15
Step-by-step explanation:
3x-7=x+23
Subtract x from each side
3x-x-7=x-x+23
2x -7 = 23
Add 7 to each side
2x-7+7 = 23+7
2x = 30
Divide by 2
2x/2 = 30/2
x = 15
Answer:
x=15
Step-by-step explanation:
3x-x=23+7
2x=30 divide by 2
x=15
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work. I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t. What was Mara’s error?
Answer: Maria did not divide correctly
Step-by-step explanation:
Answer:
Maria did not divide correctly
Step-by-step explanation:
A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Initial data when Jackie bought = 2 gigabytes
Rate of change of data per year:
[tex]\rm\frac{dB}{dt} = 3.5[/tex]
We can frame a linear function such that:
[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]
[tex]\rm y = 2 + 3.5n[/tex]
Where y represents the total data stored at n years.
And n represents the [tex]\rm n^{th}[/tex] year
When n = 0 then y = 2 (initial data when Jakie bought it)
When n = 1 then y = 5.5 (after one year the amount of data Jakie's computer has)
Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.
Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
Learn more about the function here:
brainly.com/question/5245372
Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $281? A. n ≥ 11 B. n ≤ 10 C. n ≥ 10 D. n ≤ 11
Answer:the correct answer is b
Step-by-step explanation:
What is the image of (-12,-3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(-4, -1)
Step-by-step explanation:
Multiply both coordinates by 1/3 which is the same as dividing by 3.
Answer: (-4, -1)
x/10 + y/1000 = 1
Can you please rewrite this in slope-intercept form
Please help !!!
Answer:
Slope-int form: y = mx + b
x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000
Step-by-step explanation:
are the expressions (x + 7) (x - 3) and (x + 7) equivalent expressions? explain
Answer:
No
Step-by-step explanation:
(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.
Answer:
no
Step-by-step explanation:
just to make you clear...
to check if two terms or expression are equivalent or equal
just divide them and if quotient is 1 then they are equal
but in this case.their quotient will be (x-3)
Which of the tables represents a function? (4 points)
Please help i’m having a really hard time
Answer:
table A
Step-by-step explanation:
side note: if the outputs have the same numbers there not a function
What minus 5 equals 14
Answer:
19
Step-by-step explanation:
All you have to do is add 14 to 5 to find out x-5=14
Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?
Answer:
16 boxes in 10 minutes
Step-by-step explanation:
2/5 = 15 sec
15 ÷ 2=7.5 1/5 = 7.5 seconds
7.5 × 5 = 37.5 37.5 = 1 box
60 × 10 = 600 secs
600 ÷ 37.5 = 16
16 boxes of toffee were made in 10 minutes
The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?
Answer:
Length of fencing needed = 4x + 45
Step-by-step explanation:
Assume;
Width of rectangle = x
So,
Length of rectangle = x + 45
Find:
Length of fencing needed
Computation:
Length of fencing needed = 2(l+b) + b
Length of fencing needed = 2(x+45+x) + x
Length of fencing needed = 2(2x+45) + x
Length of fencing needed = 4x + 45
How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?
Answer:
2 places after the decimal point.
Step-by-step explanation:
Answer:
2 places after the decimal point
Step-by-step explanation:
[tex]\frac{1}{100}[/tex] =0.01
Hav a nice day
Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten
Answer:Three times the difference of x and seven plus ten
Step-by-step explanation:
If the square root of a number is equal to twice the same number what is the number?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
let the number be x , then
[tex]\sqrt{x}[/tex] = 2x ( square both sides )
x = (2x)² = 4x² ( subtract x from both sides )
4x² - x = 0 ( factor out x from each term )
x(4x - 1) = 0
Equate each factor to zero and solve for x
x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]
As a check
[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
PLEASE HELP, Find the slope of the following lines :D
I WILL GIVE YOU BRAINLIEST,5 STARS, AND THANKS.(P.S. AT LEAST TWO PEOPLE GIVE ANSWER SO I CAN GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
the other options have a common difference
Answer:
A is not arithmetic series
Step-by-step explanation:
In B,C and D there is arithmetic series as a2-a1=a3-a2
In A. there is no such series.....
o the
What is the x-coordinate of the point plotted below?
Answer:
The x coordinate is 2
Step-by-step explanation:
Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)
The x-coordinate of the point plotted is (2, 0)
What is Coordinate Geometry?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
We need to find the x-coordinate of the point plotted in the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.
The point is at 2 on x axis and y value will be zero
(2, 0) is the x coordinate of the given point
Hence, the x-coordinate of the point plotted is (2, 0)
To learn more on Coordinate geometry click:
https://brainly.com/question/18269861
#SPJ2
Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yellow beads. What is the highest amount of key chains he can make?
Answer:1.25
Step-by-step explanation:90/72
Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.
What are HCF and distributive property?The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.
Joe wants each key chain to have the same number of beads.
∴ HCF of 72 and 90 is 18
Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.
= 162/18.
= 9 key chains.
learn more about HCF here :
https://brainly.com/question/17240111
#SPJ5
14- =5+4
SECOND GRADE MATH HELP PLS
Answer:
5
Step-by-step explanation:
14, 13, 12, 11, 10, 9.
5+4 = 9
Answer:
5
Step-by-step explanation:
You're given 14 - [something] = 5 + 4.
You can start out by making sure you understand what you see.
If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?
And you can figure out that 5 + 4 = 9.
So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:
14 - [something] = 9
Now you can just think about this. Fourteen minus what equals 9?
You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.
Or, you can also think like this:
You know that 10 is just one more than 9.
14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!
Write an equation of the line that passes through
the given point and has the given slope.
(1/2,4),m = -8
Answer:
The answer is
y = - 8x + 8Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y _{1} = m(x - x _1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is
(1/2,4) and slope m = -8
The equation of the line is
[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]
We have the final answer as
y = - 8x + 8Hope this helps you
Given f(x) = -x + 2, find f(0)
Step-by-step explanation:
Using the f(x) defined in the question,
f(0) = -(0) + 2 = 2.
5. Gaylen works 40 hours every week during the summer and makes $11.50 an hour. In
addition, he earns about $500 selling fireworks on the Fourth of July. How much did he
make during a 12 week period in the summer?
Das Istre
bi
mooni patololes 791)
please helppppppppppppppppppppppppppp
Answer:
Each friend will need to contribute $20
Step-by-step explanation:
For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:
Cost per friend = Total cost / # of friends
We are given that the Total cost is $100 and that there are 5 friends. So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):
Cost per friend = Total cost / # of friends
Cost per friend = $100 / 5
Cost per friend = $20
Hence, each friend will need to contribute $20.
Cheers.