Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)
Answers
To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.
The base is formed by the segment connecting point A and point B.
While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.
The formula for area of trapezoid is given as:
A = b (h1 + h2) / 2
Where,
b = base of the trapezoid = 3 – (-4) = 7
h1 = shorter height = 2 – (-2) = 4
h2 = longer height = 2 – (-5) = 7
Therefore the area is:
A = 7 (4 + 7) / 2
A = 77 / 2
A = 38.5
Related Questions
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Answers
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
Need help ASAP
Will mark you brainlist
Answers
5/6 is the slope and 4 is the y-intercept
Which are equations? Check all that apply.
Answers
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
❌Will mark brainliest answer
Select all the correct answers.
Which equations have one solution?
Answers
what is the nearest number to 1000 but smaller than 1000 into which 38 will divide with no remainder
Answers
Divide 1000 by 38:
1000/ 38 = 26.316
Use the whole number and multiply it by 38:
26 x 38 = 988
The number is 988
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
Answers
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Using the information we gathered and was given, we just to put them together.
☆[tex]y = 4x - 1[/tex]
Answer:
y=4x-1
Step-by-step explanation:
Simplify
57
leaving your answer in index form.
Answers
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answers
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
Which is a multiple of 3, 2, and 5? 36 40 45 60
Answers
Answer:
60
Step-by-step explanation:
60/3=20
60/2=30
60/5=12
20$56 x4-7 + ,608+. 0. -70
Literally have been at this for 20 minutes PLEASE HELP!!!!
Answers
Step-by-step explanation:
first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.
3x+7+4x+5=180
7x+12=180
7x=180-12
7x=168
x=24
now we can also see that angle 6 is the same as the angle 3x+7. and Since we know x=24, we can solve for those angles.
3(24)+7:
72+7=79
So :
<6 =79°
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answers
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Solve the equation
-3x - 5 =16
What does x =??
Answers
Answer:
x=-7
Step-by-step explanation:
[tex]x = 21 \div - 3 \\ x = - 7[/tex]
Answer: -7
Step-by-step explanation:
Move all terms that don't contain
x
x
to the right side and solve
Joel has a bag with 128 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Joel give his sister?
Answers
Answer:
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]
Step-by-step explanation:
[tex] \frac{x}{128} = \frac{25}{100} [/tex]
[tex](x)100 = (25)128[/tex]
[tex](x)100 = 3200[/tex]
[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]
[tex]x = \frac{3200}{100} [/tex]
[tex]x = 32[/tex]
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]
Find the equation of the linear function represented by the table below in slope
intercept form
Answers
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
This is 10 questions please answer. 1.Write the ratio as a fraction in the simplest form 15 girls to 6 boys. 2.Write The ratio as a fraction in simplest form 24 players: 3 teams.
3. Write The ratio as a fraction in simplest fraction form 48 worksheets: 12 students.
4. Tell whether the ratios form a proportion 4/7 the 4 is on top of the 7 24/35 the 24 is on top of the 35. 5. Tell whether the ratios form a proportion 11/12 11 top of the 12 33/36 33 on top of the 36. 6. 8/24 8 on top of 24 5/15 5 on top of the 15. 7.3/7 3 is on top of the 7 12/21 12 top of the 21 8. Tell whether the two rates form a proportion 25 cars in 5 days; 60 cars in 12 days.
9.14 books in 2 boxes; 20 books in 3 boxes.
10.On a monday you swim 12 laps in 30 minutes. On tuesday you swim 15 laps in 45 minutes are these rates porportional? Explain.
Answers
Answer and explanation:
1. 15 girls to 6 boys = 15:6
15/6= 5/2
2. 24 players to 3 teams = 24:3
24/3= 8/1=8
3. 48 worksheets to 12 students =48:12
48/12= 4/1
4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio
5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)
6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)
7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)
8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.
9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.
10. 12 laps in 30 minutes =12/30=2/5
15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.
Mateo has 31/2 pounds of apples he uses 3/4 of a pound of apples for each batch of applesauce how many batches of applesauce can he make
Answers
Answer:
20 2/3
Step-by-step explanation:
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
Answers
What is a function? *
Answers
Answer:
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
hope this helps
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answers
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
a car can drive 165 miles in 5 hours.
how many yards can thee car travel in a hour
Answers
Answer: 58,080 yards in one hour.
Step-by-step explanation:
1. 165 miles ÷ 5 = 33 miles per hour
2. 1 mile = 1760 yards
3. 1760 x 33 = 58,080 yards.
4. 58,080 yards per hour.
Therefore the car travels 58,080 yards in 1 hour.
find the height of the cylinder if the volume is 340, and the length is 3
Answers
Answer:
113
Step-by-step explanation:
divide the volume with the length
Chris paid $3,069 for 3 iphones. Each iphone costs the same amount. How much did each iphone cost? Solve this problem using a strategy of your choice.
Answers
Answer 1029
Step-by-step explanation: So, since all of the phones cost 3,069 in total, divide 3,069 by three. You get 1029.
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answers
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
Due in 3 minutes Need help ASAP
Will mark you brainlist
Answers
Answer:
I think it's 10 gallons less than Evan
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answers
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
Learn more : https://brainly.com/question/8018593?referrer=searchResults
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
Answers
4/8
Good luck
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answers
Answer:
need a picture hdhxhxhxhx
please help ppppppppppppp
Answers
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
Answers
Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
