Find midpoint (-6, 3) (4,-3)
Step-by-step explanation:
Given points are (-6,3) and (4,-3)
[tex]x_1=-6 ,[/tex] [tex]y_1=3[/tex] , [tex]x_2= 4[/tex] and [tex]y_2 = -3[/tex]
Coordinate of mid point [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
[tex]=(\frac{-6+4}{2} ,\frac{3+(-3)}{2})[/tex]
=(1,0)
Which graph shows the result of dilating this figure by a factor 1/3 about the origin
Plot the vertices A'(-12, 9), B'(9, 3), and C'(6, -3) on the coordinate plane. Label them as A', B', and C', respectively.
To determine the coordinates of the dilated triangle A'B'C', we can follow these steps:
1. Find the coordinates of the original triangle's vertices: A(-4, 3), B(3, 3), and C(2, -1).
2. Dilate each vertex from the origin by a scale factor of 3. This means we will multiply the x and y coordinates of each vertex by 3.
- For vertex A: Multiply -4 by 3 to get -12 and multiply 3 by 3 to get 9. Therefore, the coordinates of A' are (-12, 9).
- For vertex B: Multiply 3 by 3 to get 9. The y-coordinate remains the same at 3. Therefore, the coordinates of B' are (9, 3).
- For vertex C: Multiply 2 by 3 to get 6 and multiply -1 by 3 to get -3. Therefore, the coordinates of C' are (6, -3).
3. Plot the vertices A'(-12, 9), B'(9, 3), and C'(6, -3) on the coordinate plane. Label them as A', B', and C', respectively.
Note: The original triangle ABC remains unchanged on the coordinate plane.
By following these steps, you will have successfully determined the coordinates of the dilated triangle A'B'C' and plotted it on the coordinate plane.
Brainliest!!!!!! Plz help !!!!
Using data for population in the District of Columbia, write an exponential model of the form a ∙ bx to estimate this population in the years after 2005.
A.) a ∙ bx = (550,521)(0.993)x
B.) a ∙ bx = (550,521)(0.990)x
C.) a ∙ bx = (550,521)(0.992)x
D.) a ∙ bx = (550,521)(0.991)x
Answer:
Its C Hope dis helps!!!
Step-by-step explanation:
Without the actual data, we cannot definitively decide the correct exponential model for the population of the District of Columbia. The options provided all share the same initial quantity, with different growth factors. To pick one, we would need data on the annual population growth or decline.
Explanation:The question is asking us to choose an exponential model of the form a ∙ bx that best represents the population of the District of Columbia for years after 2005. As we are not provided actual data on the population growth or decline, we can't definitively choose between the options. In this kind of model, a is the initial quantity (population in the year 2005), and b is the growth factor per the time period (in this case: annually). In all options provided we have the same initial quantity '550,521'. The difference is in the growth factors .993, .990, .992, and .991. Without the actual data, we cannot definitively pick one. However, if the population is declining each year, you'd expect the growth factor to be less than 1. In case if it's growing you'd expect it to be more than 1.
Learn more about Exponential Model here:https://brainly.com/question/34358601
#SPJ2
Which is the best estimate of the difference between 6 7/8 and 2 1/8
Answer: 19 /4 or 4 3/4
Step-by-step explanation:
Turn 67/8 into a improper fraction, which is 55/8
Next, also convert 21/8 into an improper fraction, which is 17/8
Next, subtract 17/8 from 55/8 and you should get 38/8
Last, simplify 38/8 to do so divide 38/8 by 4/4 and you should get 19/4 and if you want it's optional to turn it into a mixed number.
The estimate of the difference between the two fractions is: 4 3/4 = 4.75 ≈ 5.
What is the Difference between Fractions?To find the difference of two fractions means that subtract one from the other.
Thus:
Difference between 6 7/8 and 2 1/8 = 6 7/8 - 2 1/8
Change the mixed fraction to improper fractions
55/8 - 17/8
= (55 - 170/8
= 38/8 = 19/4
= 4 3/4 = 4.75 ≈ 5.
Therefore, the estimate of the difference between the two fractions is: 4 3/4 = 4.75 ≈ 5.
Learn more about fractions on:
https://brainly.com/question/78672
Write the ratio 36:56 in its lowest terms
What expression is equivalent to (3g)1/3
Answer:
g
Step-by-step explanation:
it asks u to multiply 3g and 1/3, going u one third of 3g, resulting in g
In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will the bread cost next year? (Round your answer to the nearest cent.)
Answer:
$3.34
Step-by-step explanation:
$1.39 x 2.4 = $3.336
Answer:
next year the cost of bread will rise to $3.34
Idk this is supper hard
Answer:
The equation of the line is: y = x + 4
Step-by-step explanation:
When we are given two points passing through a line, we can find the equation of the line by using two - point form.
Two - point form: [tex]$ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$[/tex]
where [tex]$ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $[/tex] are the points passing through the line.
Here, let us take two points (can be any two):
[tex]$(x _1, y_1) = (1, 5) $[/tex] and
[tex]$ (x_2, y_2) = (5, 9) $[/tex]
Therefore, we have:
[tex]$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $[/tex]
[tex]$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $[/tex]
[tex]$ \iff y - 5 = x - 1 $[/tex]
[tex]$ \implies y = x - 1 + 5 $[/tex]
[tex]$ \implies y = \textbf{x + 4} $[/tex] which is the required answer.
Joshua’s annual salary from eagle fork mining is $3400. What percent of Joshua‘s monthly salary is used for monthly apartment rent of $105
help me on geometry??
Answer:
15. ∠ABE = 50°
16. ∠EBD = 10n - 19
Step-by-step explanation:
If [tex]$ \overline{\textbf{BE}} $[/tex] bisects ∠ABD then we have ∠ABE = ∠DBE
So, we will have: (6x + 2)° = (8x - 14)°
⇒ 6x + 2 = 8x - 14
⇒ 8x - 6x = 14 + 2
⇒ 2x =16
⇒ x = 8
∴ ∠ABE = 6(8) + 2
= 48 + 2
= 50°
∴∠ABE = 50°
16. If [tex]$ \overline{\textbf{BE}} $[/tex] bisects ∠ABD then ∠ABE + ∠EBD = ∠ABD
⇒(12n - 8) + ∠EBD = (22n - 11)
⇒ ∠EBD = 22n - 11 - 12n + 8
⇒ ∠EBD = 10n - 3
Hence, the answer.
Write -2x = 5y + 9 in general form Ax + By + C = 0.
О — 2х = 5у +9
О 2x — Бу — 9 = 0
О 2х + 5у + 9 = 0
О 2x — Бу + 9 = 0
What is the percent of 47.382
Answer: 0.47382
Step-by-step explanation:
The percent of 47.382 is dividing the figure by 100%
47.382/100= 0.47382
What is the true solution to the equation below
Answer:
C I think
Step-by-step explanation:
yeyeye
Answer:
[tex]x_{1}[/tex] = 1, [tex]x_{2}[/tex] = 4, so your answer is C
Step-by-step explanation:
please fill in the blanks for me i really need help strugaliing the formula is ..... y=mx+b
The complete function is: [tex]y = x+55[/tex]
Step-by-step explanation:
the given table represents a linear function
The linear function is represented by:
[tex]y = mx+b[/tex]
Here
m is the slope of function and b is the y-intercept
In this case, m will be calculated as:
[tex]m= \frac{Change\ in\ y}{Change\ in\ x}\\= \frac{61-60}{6-5}\\= 1[/tex]
Hence the slope is 1.
Putting in the equation
[tex]y = x+ b[/tex]
To find the value of b, we will put any pair of x and y in the equation
[tex]61 = 5 + b\\b = 60-5\\b = 55[/tex]
Hence,
The final equation for linear function is:
[tex]y = x + 55[/tex]
Keywords: Linear function, equation
Learn more about linear functions at:
brainly.com/question/726990brainly.com/question/725998#LearnwithBrainly
Sacha spent
of his time in study hall on science homework and
of his time on math homework. Which expression
can be used to determine how much more of the time in study hall Sacha spent on math than on science?
O 0.58 -0.28
O 0.058 -0.028
0.625 - 0.25
0.625 -0.025
Final answer:
The expression to determine how much more time Sacha spent on math than on science is y - x.
Explanation:
To determine how much more time Sacha spent on math than on science, we need to find the difference between the time spent on math and science. Let's say Sacha spent x amount of time on science and y amount of time on math. The expression that represents the difference between the time spent on math and science is y - x.
Therefore, the correct expression to determine how much more time Sacha spent on math than on science is y - x.
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
8 and 5
Step-by-step explanation:
The sum of 8 and 5 implies
8 + 5 = 13
The difference between 8 and 5 implies:
8 - 5 = 3
Therefore, the sum of two numbers that gives 13 and their difference being 3 are 8 and 5.
Erica and her sister Laura are making baby blankets to sell at a boutique. Erica has already completed 10 blankets and can finish 6 more blankets per day. Laura has already completed 6 blankets and can finish 10 more blankets per day. At some point, they will have completed the same number of blankets. How many blankets will each woman have made? How long will that take?
Answer:
Laura and Erica will both have made 16 blankets in one more day.
Step-by-step explanation:
i) Erica has made 10 blankets already.
ii) Erica can make 6 blankets more per day
iii) Laura has completed 6 blankets already
iv) Laura can complete 10 more blankets per day.
v) Let x be the number of days to the point when they will have completed the same number of blankets
vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days
vi) therefore 10 + 6x = 6 + 10x ⇒ 4x = 4 ⇒ x = 1 day
vii) Therefore Laura and Erica will both have made 16 blankets in one more day.
What are fractions greater than 1/2 but less than one
We know that 1/2 as a decimal is 0.5. Any decimal/fraction between 0.5 and 1 will be correct. For Example, 0.75 is greater than 0.5 but less then 1. 0.75 as a fraction is 3/4.
Best of Luck!
19 is 25 less than the product of 9 and a number numerical expression
19 = 9x - 25 is the numerical expression for 19 is 25 less than the product of 9 and a number
Solution:
Given statement:
19 is 25 less than the product of 9 and a number
We have to write the numerical expression for given statement
Let the number be "x"
From given information,
19 is 25 less than the product of 9 and a number
"product" means multiplication
And "less than" means subtracted or reduced by
Therefore,
Product of 9 and a number is translated as [tex]9 \times x[/tex]
Therefore, given statement is written numerically as:
19 = 25 less than the product of 9 and a number
[tex]19 = (9 \times x) - 25[/tex]
[tex]19=9x-25[/tex]
Thus the expression is found
In a direct proportion y = kx, the number k is called the constant of ______.
Answer:
Proportionality
Step-by-step explanation:
The sum of two numbers is 30 and their difference is 12 find the two numbers
Answer:
The two numbers are 21 and 9.
Step-by-step explanation:
x+y=30
x-y=12
-------------
2x=42
x=42/2
x=21
21+y=30
y=30-21=9
Mr. Kellen had an advertising budget of $50,000 to spend on advertisements for his company.
• He advertised in 7 different magazines.
• The least expensive advertisement cost $4,200.
• The most expensive advertisement cost $5,100.
Which value is a reasonable estimate of the amount of money remaining in the budget after Mr. Kellen paid for the 7 advertisements
Final answer:
To estimate the remaining advertisement budget, calculate the total possible maximum expense and subtract it from the initial budget, resulting in an approximate remaining amount of $14,300.
Explanation:
Mr. Kellen's starting budget for advertisements was $50,000. If I assume that each of the 7 advertisements costs about the maximum amount which is $5,100, the estimated total cost would be 7 times $5,100, which equals $35,700. So, a reasonable estimate of the amount of money remaining after paying for the advertisements is $50,000 - $35,700 = $14,300.
What is the x-intercept of
x + 9y = 1
I NEED HELP ON THIS QUESTION ASAP
Answer:
(2.5, -.25)
Step-by-step explanation:
I'm not positive that I know exactly what they want on this one....but since you specifically asked me to look at your other question, I tried.
See pic.
1). 21 is what percent of 168. 4) what number is 62 percent of 50
2). What is 4 percent of 150. 5) 15 percent of 15 is what
3) 1 percent of 500 is what number 6) 40 percent of 25 is what number
1) 21 is 12.50% of 168.
2) 4% of 150 is 6.
3) 1% of 500 is 5.
4) 62% of 50 is 31.
5) 15% of 15 is 2.25
6) 40 percent of 25 is 10.
Step-by-step explanation:
1). 21 is what percent of 168.
Let,
x be the percent.
Therefore,
x% of 168 = 21
[tex]\frac{x}{100}*168=21[/tex]
[tex]1.68x=21[/tex]
Dividing both sides by 1.68
[tex]\frac{1.68x}{1.68}=\frac{21}{1.68}\\x=12.50[/tex]
21 is 12.50% of 168.
2). What is 4 percent of 150.
4% of 150 = [tex]\frac{4}{100}*150[/tex]
4% of 150 = [tex]\frac{600}{100} = 6[/tex]
4% of 150 is 6.
3) 1 percent of 500 is what number
1% of 500 = [tex]\frac{1}{100}*500[/tex]
1% of 500 is 5.
4) what number is 62 percent of 50
62% of 50 = [tex]\frac{62}{100}*50[/tex]
62% of 50 = [tex]0.62*50=31[/tex]
62% of 50 is 31.
5) 15 percent of 15 is what
15% of 15 = [tex]\frac{15}{100}*15[/tex]
15% of 15 = [tex]\frac{225}{100}=2.25[/tex]
15% of 15 is 2.25
6) 40 percent of 25 is what number
40% of 25 = [tex]\frac{40}{100}*25[/tex]
40% of 25 = [tex]\frac{1000}{100}=10[/tex]
40 percent of 25 is 10.
Keywords: percentage
Learn more about percentage at:
brainly.com/question/10081622brainly.com/question/10341324#LearnwithBrainly
5x=7y, X+7Y=21 how do u solve this by elemination
Answer:
The values are [tex]x=\frac{7}{2}[/tex] and [tex]y=\frac{5}{2}[/tex]
The solution is ([tex]\frac{7}{2}[/tex],[tex]\frac{5}{2}[/tex])
Step-by-step explanation:
Given equations are [tex]5x=7y\hfill (1)[/tex] and
[tex]x+7y=21\hfill (2)[/tex]
To solve the given equations by elimination method:
Equation (1) can be written as [tex]5x-7y=0\hfill (3)[/tex] and
Now multiply the equation (2) into 5 we get
[tex]5x+35y=105\hfill (4)[/tex]
Subtracting equations (3) and (4) we get
[tex]5x-7y=0[/tex]
[tex]5x+35y=105[/tex]
_________________
-42y=-105
[tex]y=\frac{105}{42}[/tex]
Therefore [tex]y=\frac{5}{2}[/tex]
Substitute the value [tex]y=\frac{5}{2}[/tex] in equation (1) we get
[tex]5x=7\times \frac{5}{2}[/tex]
[tex]5x=\frac{35}{2}[/tex]
[tex]x=\frac{35}{2\times 5}[/tex]
[tex]x=\frac{7}{2}[/tex]
Therefore [tex]x=\frac{7}{2}[/tex] and [tex]y=\frac{5}{2}[/tex]
The solution is ([tex]\frac{7}{2}[/tex],[tex]\frac{5}{2}[/tex])
In triangle DEF, DK is the angle bisector of angle EDF. If EK=2, FK=5, and DF=10, what is the length of DE?
Answer:
4 units
Step-by-step explanation:
In triangle DEF, DK is the angle bisector of angle EDF.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.
Hence,
[tex]\dfrac{DE}{DF}=\dfrac{EK}{KF}[/tex]
Thus,
[tex]\dfrac{DE}{10}=\dfrac{2}{5}\\ \\5DE=2\cdot 10\\ \\5DE=20\\ \\DE=4[/tex]
Simplify 12x to the power of 7 y to the power of 3 divided by 6x to the power of 3 y
Answer:
2x⁴y²
Step-by-step explanation:
The question gives us the expression;
12x⁷y³ ÷ 6x³y
We are supposed to simplify the expression;
First we could divide the digits;
12 ÷ 6 = 2
Then we divide the like terms;
x⁷ ÷ x³
This means;
[tex]=\frac{x*x*x*x*x*x*x }{x*x*x}[/tex]
[tex]= x*x*x*x[/tex]
[tex]=x^4[/tex]
y³ ÷ y
That is;
[tex]=\frac{y*y*y}{y}[/tex]
[tex]=y*y[/tex]
[tex]=y^2[/tex]
Therefore, the simplified expression will be 2x⁴y²
Please help ASAP URGENT Will mark Brianlest
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. The restaurant has been open for 5 months.
B. There were 5 customers per month after the restaurant was open 120 months.
C. For every 5 months the restaurant has been open, there are 120 more customers per night.
D. The average number of customers per night increased by 5 each month.
E. There were 5 customers per night when the restaurant opened.
Answer:
A
Step-by-step explanation:
i used the process of elimination and got rid of answers that didnt make sense but based on the info given i could tell that x was 5 months because of where the point of 5 is on the graph
Answer:
It is D.
D. The average number of customers per night increased by 5 each month.
Step-by-step explanation:
The line is going up at +5 for every month. This means 5 customers are being added every month
Raphael runs every day for a number of weeks. He runs for 35 days in a row. How many weeks did he run?
Answer:
2 weeks and 5 days
Step-by-step explanation:
Final answer:
Raphael ran for a total of 5 weeks, calculated by dividing the total number of days he ran (35 days) by the number of days in a week (7 days).
Explanation:
Raphael runs for 35 days in a row, and we need to calculate how many weeks he runs. A week consists of 7 days. To find out the number of weeks Raphael ran, we divided the total number of run days by the number of days in a week.
Number of weeks = Total run days / Days in a week = 35 / 7 = 5
Therefore, Raphael ran for 5 weeks, illustrating the duration of his consistent running routine in terms of weeks. This computation provides a clear understanding of the duration of Raphael's running streak in a familiar time frame, aiding in tracking and planning his exercise regimen.