The area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1) coordinates is 6 square units
We first need to plot all the given points A (2,-2), B (2,1), C (4,2), D (6,2)and E (4,-1) which is coordinate geometry
After joining the Points which is a pentagon and it can be divided in two shapes one is triangle CDE and a quadrilateral ABCE
Using the distance formula
BC = [tex]\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }[/tex] = [tex]\sqrt{(2-1)^{2} + (4-2^{2} }[/tex] = √5
Since BC = AE and BC ll AE , we can say ABCE is a parallelogram
area of a parallelogram = base × Altitude
= 2 × 2= 4
Area of triangle CDE where CD is perpendicular and CE is the base
= 1/2 ( 2×2)
= 1/2 (4)
= 2 square units
So the area of ABCDE = Area of ABCE + area of CDE
= 4 square units + 2 square units
= 6 square units
Hence, the area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1)coordinates is 6 square units
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Kurt Ross earns a 2% commission on the sale of $ 510, 00 home. What is his commission?
Answer:
1,020 if you meant 51,000
10,200 if you meant 510,000
What is the first step in solving the quadratic equation x2 – 40 = 0?
Answer:
x=20
Step-by-step explanation:
1-reoder the terms
2-Move constant to the right
3-dive both sides
just hit the image and you will get a representation on how to do it
look at the ordered pairs. (14,2) (12,-5) (13,0) (9,-4). is this relation a function
Answer:
Yes, it is!
Step-by-step explanation:
How to know if the ordered pairs is a function? Just look at the x values! If any of the x values repeat more than 1 time, then it is not a function. In this relation, none of the x values repeat more than 1 time, so this is a function!
Here are the ordered pairs on a graph (it passes the vertical line test):
give the interval(s) of x such that k(x) > 0. use the union symbol between multiple intervals
The union symbol between multiple intervals in the graph is (-7,-3)
From the graph,
I) Value of x does h(x)=-1
x = -5
J) interval(s) of x such that h(x) > 0
x = (-∞,-7) U (-3,4]
K) interval(s) of x such that h(x) < 0
x = (-7,-3)
An abstract depiction of several points connected by lines is called a graph. The lines are referred to as edges, and each point is typically referred to as a vertex (more than one is referred to be vertices).
Graphs are a tool for connection modeling. They are employed to solve a variety of issues. A diagram that shows how a variable varies in relation to one or more other variables, such as a collection of points, lines, line segments, curves, or regions.
A grouping of all points whose coordinates meet a certain relation (such as a function).
Graphs and charts are useful visual aids because they make information accessible and quick to understand.
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Estimation Solve the equation. First estimate using the perfect square closest to 44. Then use a calculator.
g²=44
PLEASE HELP
Answer:
Step-by-step explanation:
g² = 44
[tex]\sqrt{g^{2} }[/tex]= [tex]\sqrt{44}[/tex]
g = 6.63
Good estimate: 6.5
help help help help help
Answer:
x > 2
Step-by-step explanation:
when a line has an open circle it is greater/less than the number it is on, a closed circle means it could be than number, so greater than or equal to. This equation is an open circle (so it's not equal to) and is on the 2. So you know the equation is x < or > 2. To find if it's < or >, you look at what direction the line goes. This one is to the right. If you notice the > looks like an arrow pointing to the right, so you can know > is the right symbol to use. The full equation will be read, x is greater than 2. Hope this was helpful!
Part A
A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth? Choose the number to complete the statement.
The estimate for the number of miles traveled is
Choose...
.
Part B
Which of the following statements explains how you should round 213.709?
A.
Since the digit in the hundreds place is less than 5, keep the digit in the hundredths place. Then drop the digits on the right.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the hundredths place is less than 5, leave the digit in the hundredths place and drop all the numbers on the right.
The option C is correct.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
In the given statement is
A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?
and, Choose the number to complete the statement.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
The option C is correct.
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The speed limit in Canada is 100km/hr. What is the value of this limit in mi/hr given 1mi = 1.609km?
Answer:
62.14 miles per hour
Answer: 100 km/h is equal to 62.14 mph
So, 100 km/h is equal to 62.14 miles per hour.
Answer:
62.15 mi/hr
Step-by-step explanation:
Given:
1 mile = 1.609 kmAs both speed limits are given "per hour", we only need to convert 100 km to miles. To do this, set up and solve a ratio for "miles to kilometers", where x is the number of miles to 100 km:
[tex]\implies \sf 1 : 1.609 = x : 100[/tex]
[tex]\implies \sf \dfrac{1}{1.609} = \dfrac{x}{100}[/tex]
[tex]\implies \sf \dfrac{1}{1.609} \cdot 100= x[/tex]
[tex]\implies \sf x= \dfrac{100}{1.609}[/tex]
[tex]\implies \sf x= 62.15040398...[/tex]
Therefore, 100 km/hr = 62.15 mi/hr (2 d.p.)
REALLY NEED HELP ON THIS!!
Triangle MNO is formed by connecting the midpoints of the side of triangle JKL.
The measures of the interior angles of triangle JKL are shown. Find the measure of
LKNM. Figures not necessarily drawn to scale.
80°
54°
N
M
46°
K
Answer:
80*
Step-by-step explanation:
That would be the correct answer because that would be the accurate measure for the interior angle shown.
Velma wants to buy a house that is listed for $195,000. Her bank offers a 30-year fixed-rate mortgage with an APR of 3.9%. What will her monthly house payment be?
Based on the amount that Velma wants to buy the house for and the fixed-rate mortgage offered by her bank, her monthly house payments will come to $919.75
What are the monthly house payments?The monthly house payments are constant so they are an annuity. The loan amount of $195,000 will be the present value of the annuity.
The monthly rate is:
= 3.9% / 12
= 3.9/12%
The number of periods is:
= 30 x 12
= 360 months
The monthly house payments is:
195,000 = Amount x (1 - (1 + 3.9/12%)³⁶⁰) / 3.9/12%
Amount = 195,000 / 212.01344311265715516703523151038
= $919.75
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The soccer team and the football team are sharing the fields for their practises today. the soccer team needs to practice every 3 days, and the football team needs to practice every 5 days. if today's day is September 12 what is the next day the two teams are shared the share the same field
Using LCM, we calculated that the two teams will share the same field on 27 September.
What is LCM?The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
The LCM of 5 and 3 is 5×3
= 15
So the two teams will share the same field after 15 days.
So, the both teams will share the same on 27 September.
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Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows: Wheel alignment: $110 Transmission fluid flush: $75 Cabin air filter: $23 What is her total estimate for the repairs?
The total estimate for the repairs when Pam takes her truck in for basic service is $200.
How to illustrate the information?Based on the information given, the costs are as follows:
Wheel alignment: $110 = $100
Transmission fluid flush: $75 = $80
Cabin air filter: $23 = $20
Therefore, the total estimate for the repairs will be:
= $100 + $80 + $20
= $200
Therefore, the total estimate for the repairs when Pam takes her truck in for basic service is $200.
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Hi can someone please help me with these!
Limite de 2x^2+3x-9/x-1.5 cuando x 1.5
El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.
¿Es evitable la discontinuidad de una ecuación racional?
En este problema tenemos el caso de una ecuación racional cuyo numerador y denominador son polinomios.
La discontinuidad de la ecuación racional es evitable si y solo si tanto el numerador y el denominador tienen la misma raíz. La existencia de la discontinuidad evitable se comprueba mediante procedimientos algebraicos. En consecuencia, realizamos la siguiente comprobación:
f(x) = (2 · x² + 3 · x - 9) / (x - 1.5)
f(x) = [(x - 1.5) · (x + 3)] / (x - 1.5)
f(x) = x + 3
La discontinuidad es evitable y la función existe para x = 1.5, entonces:
f(1.5) = 1.5 + 3
f(1.5) = 4.5
El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.
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if the 1st number in a series of consecutive odd numbers is less than 8 the last number in the series, how many numbers are there in a series?
There are 5 consecutive odd nos.
To find : no . of terms in a series of consecutive nos .
To proceed ,
Let the series start from 7 which is an odd numbers [we can start the series from any odd number and go up to next 8 numbers]
the odd consecutive series 7 , 9 , 11 , 13 , 15 .
There are 5 numbers in total .
The 1st number is 7 and the last number is 15 .
Therefore , difference between the 1st and the last number is 15 - 7 = 8 .
Hence , there are 5 consecutive odd nos .
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the ratio of red cars to blue cars in a parking lot was 5:3. If there was 40 red cars how many blue cars were there?
Answer:
24 blue cars
Step-by-step explanation:
40/5 = 8
8 x 3 = 24
in the triangle below, z=
Answer:
Where's the triangle?
Step-by-step explanation:
For P ={10, 12, 13, 15), Q = {2, 6, 11), and R=(3, 6, 8, 11), find P U (Q n R).
Step-by-step explanation:
(Q n R) = {6, 11}
P U (Q n R) = {6, 10, 11, 12, 13, 15}
I will mark brainliest
Answer:
The 1st one
Step-by-step explanation:
My mom is a teacher lol
2½ yards of fabric for $9.50
Multiply and collect like terms (6d-1)(3d^2+2d-7)
Would you classify the number 55 as a perfect square, perfect cube, both, or neither? Explain.
Answer:
Neither because the number 55 squared is in between 7. (7*7=49) and 8. (8*8=64). When cubed, it is in between 3. (3*3*3=27) and 4. (4*4*4=64) Therefore, the number 55 cannot be perfectly squared or cubed. (You can put it in your own words)
Answer:neither
Step-by-step explanation:
because 55 is neither
A college is trying to determine a nickname for its sports teams, and 4 different nicknames have been proposed. 4,783 people are all going to vote, and the nickname that receives the highest number of votes will win.
What is the smallest number of votes that a nickname could receive and be declared the winner?
Answer:
1196
Step-by-step explanation:
4,783 / 4 = 1195.75
If you round that up, you get 1196.
Janet just graduated from college, has a job she's scheduled to begin in 3 months and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she's thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years. PLEASE HELP ASAP!!
3) By the time Janet pays off the loan, the total interest she would have paid is D. $941.17.
4) By the time Jane pays off the loan, the total cost of her tip is B. $4,441.17.
5) The equation to find the new balance after each month's payment is D. New balance = Previous balance - Total monthly payment.
How is the monthly payment computed?The monthly payments can be computed by first computing the total payments (future value of the loan). Then, the above figure is divided by the number of periods.
For instance, the total cost of Janet's trip is $4,441.17. The payments are made for 24 months. Dividing $4,441.17 by 24 gives $941.17.
Data and Calculations:N (# of periods) = 24 months (2 x 12)
I/Y (Interest per year) = 24%
PV (Present Value) = $3,500
FV (Future Value) = $0
Results:
PMT = $185.05
Sum of all periodic payments = $4,441.17 ($3,500 + $941.17)
Total Interest = $941.17
Thus, Janet would have spent $4,441.17 to obtain a loan of $3,500 for her trip at 24% interest with 24 months for repayment.
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are used to label the quadrants.
Find the product. (2y - 6)2
Frank camped and hiked for three days. He hiked around three of the lakes.
He estimated his hiking distance to be more than 35 miles but less than 40
miles. Which three lakes did Frank hike? explain your answer
a = 6.51
b = 8.74
c = 21.25
d = 18.68
e = 15.33
The three lakes that Frank walked were Lakes A, B, and C. This may be deduced from the distances between the lakes as well as the total distance that Frank traveled, which was more than 35 miles but less than 40 miles.
How do locate the lakes when hiking?You may determine which lakes Frank walked to by combining a total of three lakes from the set of lakes provided in the puzzle.
Assuming Frank hiked Lakes A, B, and C, the distance is;
= 6.51 + 8.74 + 21.25
= 36.5 miles
Lakes A, B, and D:
= 6.51 + 8.74 + 18.68
= 33.93 miles
Lakes A, B, and E:
= 6.51 + 8.74 + 15.33
= 30.58 miles
It can be observed that Lakes A, B, and C are the only ones that meet the requirement of having a distance of fewer than 40 miles but more than 35 miles.
The following questions should be asked next:
Lakes: a = 6.51
b = 8.74
c = 21.25
d = 18.68
e = 15.33
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What are the ordered pairs of the solutions for this system of equations?
The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).
According to the statement
We have to find that the ordered pair of the solution of the equation.
So, For this purpose, we know that the
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
From the given information:
in the given graph there are the some intersecting points and the due to this graph the value of the y is 6 and the value of the x is a -3.
Then
After analyzing the graph we have to find the value of the another x and y.
We see that the parabola and the line intersect at the points -3 and the 6 of the different values.
Then the ordered pair becomes the
(-3,0) and the (3,6).
So, The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).
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if f(x) = x^3, write a new function, g (x), that applies the following transformations
A reflection across the x-axis
A vertical stretch by a factor of 4
A reflection across the y-axis
A horizontal compression by a factor of 1/5
Your answer must begin with " g (x)= "
x
)
=
"
Answer:
g(x)= 0 or the factor of 0 is mine
Homework My Classwork Practice Badges Formatting Help
ork
056
06a
1076
136
2
Answer:
V
Avetis had m dollars in his wallet. He bought 3 cakes which cost k dollars each. How
much money does he have left in his wallet?
GRADE ANSWER
Previous
A
W
Need help
The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Avetis had m dollars in his wallet. He bought 3 cakes which cost k dollars each.
Hence:
Total cost of cakes = 3 * k = 3k
Total money he had left = m - 3k
The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k
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