The coordinates along the directed line segment is (-4, 5/3)
What is line segment ratio?This involves dividing a line into proportional ratios
How to find the coordinates of the point?The points are given as:
A = (-7, 2)
B = (2, 1)
The ratio on the segment can be represented as;
m : n = 1 : 2
So, we have the coordinates of the point that lies along the directed line segment to be
Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)
So, we have:
Point = 1/(1 + 2) * (1 * 2 + 2 * -7, 1 * 1 + 2 * 2)
Evaluate
Point = 1/3 * (-12, 5)
Evaluate the products
Point = (-4, 5/3)
Hence, the coordinates of the point is (-4, 5/3)
Read more about line partitions at:
brainly.com/question/17374569
#SPJ1
6. Trapezoid ABCD with vertices A(-3, 6), B(0, 7),
C(1, 4), and D(-5, 2): (x,y) → (x + 4, y - 1)
A' (
B (
CC.
D’______
The new vertices of the trapezoid after translation:
A'( - 7, 8 ), B'( 7, 2 ), C'( - 1, 0 ), and D'( - 3, 4 ).
Consider the trapezoid ABCD with vertices as:
A( - 3, 6 ), B( 0, 7 ), C( 1, 4 ), and D( - 5, 2 )
When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.
For example: ( x, y ) → ( x + 4, y - 1 )
Consider the point ( - 3, 6 ),
Point A when translated 4 units horizontally to the left and 2 units upward will be:
A( - 3, 6 ) → A'( - 3 - 4, 6 + 2 ) = A'( - 7, 8 )
Point B when translated to the right by 7 units and downwards by 5 units will be:
B( 0, 7 ) → B'( 0 + 7, 7 - 5 ) = B'( 7, 2 )
Point C when translated to the left by 2 units and downwards by 4 units will be:
C( 1, 4 ) → C'( 1 - 2, 4 - 4 ) = C'( - 1, 0 )
Point D when translated to the right by 2 units and upwards by 2 units will be:
D( - 5, 2 ) → D'( - 5 + 2, 2 + 2 ) = D'( - 3, 4 )
Learn more about translation here:
brainly.com/question/12861087
#SPJ1
what is a reasonable estimate for 155 / 9?
The most appropriate choice for decimal number and division will be given by
[tex]\frac{155}{9} =17.22[/tex]
What is decimal number and division?
Decimal numbers are those numbers which consist of an integer part and a fractional part.
Decimal are of two types-
Terminating decimals are those decimals which has finite number of figures after decimal point
Non terminating decimals are those decimals which has infinite number of figures after decimal point.
Division is the process by which value of single unit can be calculated from the value of multiple unit
The number which is divided is the dividend, the number by which dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula in division
Divisor x Quotient + Remainder = Dividend
Here,
Denominator of fraction = 9 = [tex]3^2[/tex]
Which is not of the form [tex]2^m \times 5^n[/tex]
So [tex]\frac{155}{9}[/tex] has non terminating decimal
[tex]\frac{155}{9} =17.22[/tex]
This is the required answer
To learn more about decimal and division, refer to the link:
https://brainly.com/question/572063
#SPJ9
Find the length and width of the greatest rectangular area that the farmer can enclose with 100 m of fencing. the length is m and the width is m.
Answer:
25 length and 25width
Step-by-step explanation:
we need to find the biggest area with a perimeter of 100 and all sides need to be the same. So you divide 100 by 4 and you get 25 for width and 25 for length
12% of Cu in a 11.5 g coin
If a coin weighing 11.5 grams, has 12 Percentage of Cu content by mass in it, then the exact quantity of Cu in the coin in grams will be 1.38 grams.
As per the question statement, a coin weighing 12 grams, has 12 % of Cu content by mass in it.
We are required to calculate the exact quantity of Cu present in the coin in grams, from the above mentioned data.
To solve this question, we will simply need to calculate 12% of 11.5, and we will obtain our desired answer, that is,
12% of 11.5 = [(12/100) * 11.5] = (0.12 * 11.5) = 1.38 grams.
Hence, a coin weighing 11.5 grams, having 12 Percentage of Cu content by mass, will have 1.38 grams of Cu inside it.
Percentage: In mathematics, a percentage is a number or a ratio expressed as a fraction of 100 and often denoted using the percent sign, "%", to determine a certain part of one whole.Grams: As per the International System, the gram is a metric unit of mass being equal to one one thousandth of a kilogram.To learn more about Percentage and Grams, click on the link below.
https://brainly.com/question/24293552
#SPJ1
Carly is saving money babysitting on the weekends. last month, she saved $120. this month, carly saved 30% more than she saved last month. how much did she save this month?
Question: Carly is saving money babysitting on the weekends. last month, she saved $120. this month, carly saved 30% more than she saved last month. how much did she save this month?
Answer: Goodmorning: } It's $156.
Step-by-step explanation: you would change the 30% to a decimal by moving the decimal point two spaces to the right.
this would get you .30 or .3
you would then multiply the $120 by .3
you would get 36
then since she saved 30% MORE you would add the 36 to the 120 and get 156.
Have a nice day !!!
The landscaping at a park features 15 azalea bushes at the entrance to the park as well as a garden of azalea bushes inside the
park. In the garden, the azalea bushes are planted in rows containing the same number of bushes, as shown below.
Write and solve an equation to determine how many rows of azalea bushes, r, are planted in the garden if there are 119 total azalea
bushes at the park.
A. 8 + 15 = 119; r = 13 rows
B.
15r + 8 = 119; r = 7 rows
C.
15 - 8 = 119; r = 9 rows
D.
r - 15 = 119; r = 17 rows
Reset
Next
Answer:
b
Step-by-step explanation:
that th only one with 7 rows
Answer:
The correct asnwer is A. not B.
Step-by-step explanation:
A. 8 + 15 = 119; r = 13 rows.
What is 4+4 I’m feeling generous “I know what it is I’m not that yak bc I can’t say it but have a nice day :)
Answer:
thx for the points have a nice day too
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
Double 4 and add
or
4x2.
( ik this is a joke ;] )
Answer correctly for 50 points.
Dont lie or i will report you.
Answer: 36 5/9
Step-by-step explanation:
how much less than 6 is the sum of 2 3/4 and 2 4/5
Answer: 9/20 or 0.45
Step-by-step explanation:
simplify the expression.
I need help on this question
Yes, The triangles are congruent by SSS i,e option(D)
What are Congruent triangle?
When two corresponding sides and the angle included between them of one triangle match those of two corresponding sides and the angle included between them of another triangle, the two triangles are said to be congruent. Two triangles are said to be congruent if their three sides and three angles, in any orientation, are equal.
By applying the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, the two sides of the triangle in issue are made equal, hence making the third sides equal.
Therefore, we can say the triangles are congruent by SSS i,e option(D)
To read more about Congurent Triangle.
https://brainly.com/question/1675117
#SPJ13
How do I graph the function y = -2/3
The graph for the function y = -2/3 is shown in the image below.
How to Graph the Function of a Horizontal Line?The function of a horizontal line is expressed as y = b, where b is the point on the y-axis where the line intercepts the y-axis.
This means that, the graph of y = b would be a graph that has its line cutting across the y-axis at point b on the y-axis, showing a horizontal line.
Given the function, y = -2/3, this shows that b, which is -2/3, is the value of the y-coordinate where the line intercepts or cuts the y-axis. The graph of this function would be a graph that is horizontal and passes through the point, y = -2/3 on the y-axis.
The graph of y = -2//3 is given in the diagram attached below.
Learn more about graph of a function on:
https://brainly.com/question/10439235
#SPJ1
the answer for y-3=-3y-43
A random sample of students were asked whether they preferred to sweep the floor or to do the dishes, and whether they preferred to hear music or have silence while doing the chore. The results of the survey are summarized in the table. Sweep Dishes Total Music 60 96 Silence 62 104 Total 78. 122 200 What is the probability that a student prefers to do the chore in silence? O A 0.21 OB. 0.31 Ос 0.39 OD. 0.42 E. 0.52
this is:
[tex]P=\frac{\text{silence}}{\text{total}}=\frac{104}{200}=0.52[/tex]answer: E
You have 270 ft^2 of carpet. You want to install carpeting in a room that is 20 ft long and 15 ft wide. Do you have enough carpet? Explain how you know. (1pt)
Answer: No, there isn't enough carpet
Explanation:
The room is 20 feet by 15 feet. The floor area is length*width = 20*15 = 300 square feet, which is larger than the 270 sq ft of carpet you have available. Therefore, you don't have enough carpet. The amount needed is 300-270 = 30 sq ft
Answer:
No
Step-by-step explanation:
20 ft*15 ft=300 ft^2
you need to cover 300 ft^2
you only have 270 ft^2
so you can't cover it
A person can burn 120 calories in 15 minutes of running. Calculate how many
calories the person will burn in 1,5 hours.
Question 5.2 [2 marks]
So, if in 15 minutes, a person can burn 120 calories. In 1 minute, a person can burn 8 calories.
120 ÷ 15
8
15 | 120
120
0
8 CALORIES.NOW, how many calories a person burn in 1.5 hours?
FORMULA (HOURS TO MINUTES)60 × 1.5
60
X 1.5
300
60
90.0
90 MINUTES15 minutes x 8 calories = 120 calories (GIVEN)
90 minutes × 8 calories
90
x 8
720
ANSWER = A person can burn 720 calories in 1.5 hours.equation that is perpendicular to 5x +3y=-21 and passes through (-5,1)
The equation of line perpendicular to the line 5x + 3y = -21 will be;
⇒ y = 3x/5 + 4
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) is;
⇒ y - y₁ = m (x - x₁).
Given that;
The equation of perpendicular line is,
⇒ 5x + 3y = -21
And, The point on the line will be (-5 , 1)
Now,
The product of the slopes of the perpendicular line will be -1.
Slope of the perpendicular line 5x + 3y = -21 is;
5x + 3y = -21
y = - 5x/3 - 21/3
y = -5x/3 - 7
dy/dx = m₁ = -5/3
So, The slope of line which is perpendicular to the line is;
m₁ m₂ = -1
m₂ = -1/m₁
m₂ = 3/5
So, The equation of line perpendicular to the line 5x + 3y = -21 and passes through the point (-5, 1) is;
⇒ y - y₁ = m (x - x₁).
⇒ y - 1 = 3/5 (x - (-5)).
⇒ y - 1 = 3/5 (x + 5)
⇒ 5 (y - 1) = 3 (x + 5)
⇒ 5y - 5 = 3x + 15
⇒ 5y = 3x + 15 + 5
⇒ 5y = 3x + 20
⇒ y = 3x/5 + 4
Thus, The equation of line perpendicular to the line 5x + 3y = -21 will be;
⇒ y = 3x/5 + 4
Learn more about the equation of line visit:
https://brainly.com/question/21203777
#SPJ1
Which equation represents a line which is perpendicular to the line y=2x-4?
Answer:
y = -1/2x - 4
Step-by-step explanation:
The perpendicular line always changes with the negative reciprocal of the slope.
A shop sells cola in three different size bottles.
2 Litre
£1.99
600ml
62p
Which size bottle is the best value for money?
You must show all your working.
1.5 Litre
£1.53
Cary's dad gave her $20.00 to spend on shoes at the mall. Cary spent 85% of the money onone pair of shoes. How much money does Cary's dad get back from his $20.00?
Answer:
$3
Step-by-step explanation:
20 - 20 (85%)
= 20 - 17
= 3
Solve for x.ln(x) - ln(x - 4) = 0
In(x) - In(x - 4) = 0
[tex]\begin{gathered} In\text{ }\frac{x}{x\text{ - 4}}\text{ = 0} \\ In(1)\text{ = 0} \\ \text{Therefore,} \\ In\text{ (}\frac{x}{x\text{ - 4}})\text{ = In (1)} \\ \frac{x}{x\text{ - 4}}\text{ = 1} \\ \text{Cross multiply} \\ x\text{ = 1(x - 4)} \\ x\text{ = x - 4} \end{gathered}[/tex]From the step-by-step explanation, the equation has zero solution.
2.10 guessing on an exam: in a multiple choice exam, there are 7 questions and 4 choices for each question (a, b, c, d). nancy has not studied for the exam at all and decides to randomly guess the answers. what is the probability that: (please round all answers to four decimal places)
Write the EXPLICIT rule for the arithmetic sequence
-10, -3, 4, 11,...
The difference between the following term is 7 and explicit rule is
[tex]a_{n}=-17+7n[/tex]
What is Explicit rule?Explicit rule is a rule that you can solve without needing the previous term.
How Should Explicit Formula Be Written?The nth term in the series is where the explicit formula can be expressed. The explicit formula of the sequence for the arithmetic progression a, a + d, a + 2d, a + 3d,...a + (n - 1)d is formed by the nth term. An = a + (n - 1)d is the explicit formula for this arithmetic series. The explicit formula can also be calculated for the harmonic and geometric sequences.
Here, [tex]a_{n}=-17+7n[/tex]
put n = 1
[tex]a_{n}[/tex]= =-17+7(1)
= -17+7
=-11 which is the first term
similarly for n = 4
-17+7(4)
= -17+ 28 =11 which is the fourth term.
To know more about explicit rule, visit:
https://brainly.com/question/10183105
#SPJ13
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 54 cm, find its length and width.
Answer:
width=11cm
length = 16cm
Step-by-step explanation:
let the width of rectangle be x.
then length is x+5
perimeter=54
2(x+x+5)=54
2x+5=27
2x=22
x=11
width=11cm
length= x+5 = 16cm
Answer:
width = 11
length = 16
Step-by-step explanation:
Perimeter of a rectangle = 2 (Length + Width)
Length = 5 + width
2 (5 + width + width) = 54
5 + width + width = 27
width + width = 22
width = 11
length = 16
Hope this helps :)
Have a nice day
Your friend
needs a trumpet for 1 year. She says she
should buy a trumpet because the cost
to rent one for 1 year is about the same
as the cost to buy one. Do you agree?
Explain.
Based on the cost to rent the trumpet, I agree that the trumpet's buying price is almost the same as the cost to rent the trumpet.
How to find the cost of the trumpet?The trumpet would cost about $575 to be bought if the friend decided to buy it outright.
If they decided to rent the trumpet however, the rental cost of the trumpet would be:
= Initial fee + (Monthly fee x Number of months in year)
The initial fee is $25 and the monthly fee is $45. The total cost to rent the trumpet in a year is:
= 25 + (45 x 12)
= 25 + 540
= $565
The cost of renting is $565 and this is close to the cost of buying which is $575.
Find out more on the cost to buy at https://brainly.com/question/5168855
#SPJ1
Which is the best estimate of 11-2?
04
06
O22
33
Shawn's Burger Place made 3 burgers with onions and 4 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
Identify the correct equation of a line that passes through the points \displaystyle \left(-6,-10\right)(−6,−10) and \displaystyle \left(6,-2\right)(6,−2).
The equation of the line that passes through the points ( -6,-10 ) and ( 6,-2 ) is y = (2/3)x - 6.
How to determine the equation of a line from two points?The equation of line is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the data in the question;
Point 1( -6,-10 )
x₁ = -6y₁ = -10Point 2( 6,-2 )
x₂ = 6y₂ = -2First, we determine the slope "m" of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( -2 - (-10) ) / ( 6 - (-6) )
m = ( -2 + 10 ) / ( 6 + 6 )
m = 8 / 12
Slope m = 2/3
Next, we determine the y-intercept "b"
y = mx + b
-10 = (2/3)(-6) + b
-10 = -12/3 + b
-10 = -4 + b
b = -10 + 4
b = -6
Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.
y = mx + b
y = (2/3)x + (-6)
y = (2/3)x - 6
Therefore, the equation of the line is y = (2/3)x - 6.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 9 inches. What is the approximate circumference of a lid that will fit his frying choices are A 28.26 in B 56.52in C 14.13in D 254.34in
A 28.26
The approximate circumference of a lid that will fit his frying is 28.26.
Circumference of circle
In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Formula of circumference if a circle is 2[tex]\pi[/tex]r.
Given that the diameter of the pan is 9 inches.
Radius of pan = 4.5 inches
Therefore circumference of pan = 2 × (22/7) × 4.5
= 28.28 inches
To learn more about Circumference of circle visit:
brainly.com/question/11213974
#SPJ1
In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Formula of circumference if a circle is 2r.
Given that the diameter of the pan is 9 inches.
Radius of pan = 4.5 inches
Therefore circumference of pan = 2 × (22/7) × 4.5
= 28.28 inches
Collect like terms: 3x(exponent of 2) + 2x + 3x -1
The like terms in the expression are 2x and 3x, and the solution is 3x^2 + 5x - 1
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to collect the like terms?The expression is given as
3x(exponent of 2) + 2x + 3x -1
Rewrite the expression properly
So, we have
3x^2 + 2x + 3x -1
The like terms are the expressions that have the same variables
In this expression, the like terms are 2x and 3x
When evaluated, we have
3x^2 + 5x - 1
Hence, the equivalent expression is 3x^2 + 5x - 1
Read more about expression at
https://brainly.com/question/723406
#SPJ1
(100 POINTS PLEASE HELP ME MY GRADE RELY ON IT)
Last weekend, the movie theatre sold a total of 8,500 movie tickets. Proceeds totaled around 64,600.
There are three ways to buy a movie ticket. Matinee tickets costs $5, student tickets is $6 all day, and regular tickets are $8.50.
Twice as many student tickets were sold than
Matinee. Please write the system of equations.
(SHOULD BE 3 EQUATIONS)
Answer:
x= number of matinee tickets sold = 900
y= number of student tickets sold = 1800
z= number of regular tickets sold = 5800
steps below.
If this helped please mark my answer as the brainliest, thank you!
Answer:
System of equations:
[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]
(where m is the number of Matinee tickets sold, s is the number of Student tickets sold and r is the number of Regular tickets sold).
Step-by-step explanation:
Given information:
Total tickets sold = 8,500Total proceeds = $64,600Cost of Matinee ticket = $5Cost of Student ticket = $6Cost of Regular ticket = $8.50Twice as many Student tickets were sold than Matinee tickets.Define the variables:
Let m = number of Matinee tickets sold.Let s = number of Student tickets sold.Let r = number of Regular tickets sold.Equation for the total tickets sold:
m + s + r = 8500Equation for the total proceeds:
5m + 6s + 8.5r = 64600Equation for twice as many Student tickets were sold than Matinee tickets:
s = 2mTherefore, the system of equations is:
[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]
Solving the system of equations
To solve the found system of equations, substitute the third equation into the first equation and isolate r:
[tex]\implies m+2m+r=8500[/tex]
[tex]\implies 3m+r=8500[/tex]
[tex]\implies r=8500-3m[/tex]
Substitute the found expression for r and the third equation into the second equation and solve for m:
[tex]\implies 5m+6(2m)+8.5(8500-3m)=64600[/tex]
[tex]\implies 5m+12m+72250-25.5m=64600[/tex]
[tex]\implies 72250-8.5m=64600[/tex]
[tex]\implies 8.5m=7650[/tex]
[tex]\implies m=900[/tex]
Therefore, the total number of Matinee tickets sold was 900.
Substitute the found value of m into the third equation and solve for s:
[tex]\implies s=2(900)[/tex]
[tex]\implies s=1800[/tex]
Therefore, the total number of Student tickets sold was 1800.
Substitute the found value of m into the found equation for r and solve for r:
[tex]\implies r=8500-3(900)[/tex]
[tex]\implies r=8500-2700[/tex]
[tex]\implies r=5800[/tex]
Therefore, the total number of Regular tickets sold was 5800.
