what is the precise name for each quadrilateral? then find its area a(0,-1), b(1,4), c(4,3), d(3,-2)
Answers
The given quadrilateral can be named as ABCD, where A(0,-1), B(1,4), C(4,3), and D(3,-2). The area of the given quadrilateral ABCD is 17 square units.
What is inequalities?
In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).
To find the area of this quadrilateral, we can use the formula:
Area = 1/2 * |(x₁y₂ + x₂y₃ + x₃y₄ + x₄y₁) - (y₁x₂ + y₂x₃ + y₃x₄ + y₄x₁)|
where (x₁,y₁), (x₂,y₂), (x₃,y₃), and (x₄,y₄) are the coordinates of the vertices of the quadrilateral in order.
Substituting the values, we get:
Area = 1/2 * |(04 + 13 + 4*(-2) + 3*(-1)) - (-11 - 44 - 3*3 - (-2)*0)|
Area = 1/2 * |(-8 - 26)|
Area = 1/2 * |-34|
Area = 17 square units
Therefore, the area of the given quadrilateral ABCD is 17 square units.
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Related Questions
PLEASE HELP IM GIVING 100 POINTS AND BRAINLIEST IF THE ANSWERS RIGHT
A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation. (5 points)
a
The experimental probability and relative frequency are the same.
b
The experimental probability is larger than the relative frequency.
c
The experiment probability is smaller than the relative frequency.
d
There is not enough information to determine the relative frequency.
Answers
Answer:
Relative frequency is defined as the number of "desired" results divided by the total number of possible results. Experimental probability is defined the same way. This means that the first choice is best, the experimental probability and relative frequency are the same.
The theoretical probability, on the other hand, would be 0.5, or 300/600, which is larger than the experimental probability.
Step-by-step explanation:
btw im in middle school
Find the slope of the line (-4,4) (-3,-2)
Answers
Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
Answers
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
Maximum: x = -0.3.Minimum: x = 2.3.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answers
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?
Answers
Answer:
C) Increase the amplitude to 2xo and stand 2 meters from the source.
Step-by-step explanation:
Correct on Edge
Which graph shows function f?
Answers
The graph of f(x) is the second one, so the correct option is B.
Which graph shows function f?Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.
You can see that the first domain of the function is:
x ≤ -4
So we must have a closed circle at x = -4, when the parabola ends.
The second domain is:
-4 < x < 1
So x here is not equal to -4 nor 1, so this part starts and ends with open circles.
finally, the linear part starts with a closed circle.
Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.
Then we can see that the correct option is the second graph.
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A garden measuring 22 m by 26 m is to have a pedestrian pathway that is w meters wide installed all the way around it, increasing the total area to 780 square meters
a. Draw a picture.
b. Write an equation that can be used to determine the width, w of the pathway.
c. Explain how this equation models the situation.
d. Use this equation to solve for the width of the pathway
Answers
Answer:
4
Step-by-step explanation:
I know
Alice is saving to buy a house and currently has $2,000 in her savings account. She's planning to contribute $150 to the account each month. Identify the function that describes the relationship between the number of months that pass (n) and the balance of her savings account, f(n).
Answers
Answer:
f(n)= 2,000+150n
Step-by-step explanation:
hope this helps.
Answer:
f(n) = 2,000 + 150(n − 1)
Step-by-step explanation:I took the test
The term "jet stream" is often used by weather forecasters to describe
A: The cloud-like condensation trails that are sometimes seen behind jet aircraft.
B: Warm pacific winds associated with volcanic activity in the western pacific which carry heat to the north pole
C: Solar winds that bring high energy particles to the upper atmosphere, providing heat which sets off convection cycles disturbing weather in the tropical latitudes
D: The west to east winds that circle the globe, often just below the poles in latitude and just beneath the stratosphere in elevation
Answers
Answer:
daddy chill what does the man say?
Step-by-step explanation:
???
Choose the correct elements in the set for the following:
{y | y is an integer and y >/= -3}
{3, 4, 5, 6, . . .}
{−2, −1, 0, 2, . . .}
{−1, 0, 1, 2, . . }
{−3, −2, −1, 0, . . .}
****PLEASE explain your answer****
Answers
Answer:
D
Step-by-step explanation:
Y => - 3 that is {−3, −2, −1, 0, . . .}
)) Francesca has run many marathons and keeps track of all of her finishing times. At a race last month, she finished in 190 minutes. At her next race, she finished with a time that was 10% longer. What was her finishing time at the most recent race?
Answers
Given
At a race last month, Francesca finished in 190 minutes.
At her next race, she finished with a time that was 10% longer.
To find: What was her finishing time at the most recent race?
Explanation:
Let x be the finishing time of the most recent race.
Since the finishing time of the first race is 190 minutes, and the finishing time of the second race is 10% longer than 190 minutes.
That implies,
\(\begin{gathered} Finishing\text{ time of the second race}=190+10\% \\ =190+\frac{10}{100} \\ =190+0.1 \\ =190.1\text{ }minutes. \end{gathered}\)Hence, the finishing time of the most recent game is 19.01 seconds.
Solve for x
(2^2/x) (2^4/x) = 2^12
Answers
\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)
Now, since the base on both sides are equal, therefore their exponents are equal as well ~
\(\qquad \sf \dashrightarrow \: \dfrac{6}{x} = 12\)
\(\qquad \sf \dashrightarrow \:x = \dfrac{6}{12} \)
\(\qquad \sf \dashrightarrow \:x = \dfrac{1}{2} \)
or
\(\qquad \sf \dashrightarrow \:x = 0.5\)
Hope you got the required Answer ~
29.56 divide by 3 please find it
Answers
Answer:
9.853333....
Step-by-step explanation:
We have an irrational number. Numbers like that go on forever.
The 3's recur, which means that they go on forever.
I hope it helps!
Answer:
Hope it helps you
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Which retirement plan is managed by an insurance company?
a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA
Answers
Answer:
Fixed Annuity
Step-by-step explanation:
Fixed annuity is the most common annuity
During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company
The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds
hello, I have this worksheet and I don't know how to do it my teacher didn't explain.
Answers
1.
Answer:
\(\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}\)Explanation:
Given the graph in the attached image;
The Zeros are the values of x for which the equation gives y=0.
The values of x for which y=0.
From the graph, it is the point at which the function intercept the x axis;
So, the zeros are at;
\(\begin{gathered} \text{Zeros} \\ x=0 \\ x=-4 \end{gathered}\)The line of symmetry is the line that can divide the equation into two equal halves.
The line of symmetry for the given equation is;
\(x=-2\)For the given equation, it opens downwards, so it has a Maximum point at point;
\(\begin{gathered} \text{Max} \\ at\text{ point;} \\ (-2,4) \end{gathered}\)For this equation the Vertex is similar to the maximum point and the Vertex is also at;
\((-2,4)\)So, we have;
\(\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}\)Helppp meee Pleaseee
Answers
Answer:
4
Step-by-step explanation:
I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.
In this question, the binomial is (x + 2)².
You can expand this to be (x + 2)(x + 2).
When you expand it using the FOIL method, you get x times x, which is x².
Next, the outside/outer terms are x and 2, which is 2x.
Then, you multiply the inside/inner terms 2 and x, which is 2x.
Last, you multiply the last terms, which are 2 and 2, which is 4.
When you put them together, it looks like this:
x² + 2x + 2x + 4.
You can simplify this to x² + 4x + 4.
So your answer is 4.
Please help ASAP questions and answer selection in screenshot
Answers
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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What is the equation of the line shown in this graph?
A function graph of a line with two points (-2,-3) and (3,-3) with an x axis of negative five to five and a y axis of negative five to five
Enter your answer in the box.
Answers
Answer:
\( y = -3 \)
Step-by-step explanation:
Given:
(-2,-3);
(3,-3)
Required:
Equation of the line that passes through both points on a graph
SOLUTION:
Equation of the line can be represented in slope-intercept form as \( y = mx + b \)
Where,
m = slope of the line. Since the line is horizontal, the slope is 0 as with all horizontal lines. Therefore, m = 0
b = y-intercept value, which is the point at which the line intercepts the y-axis. the line intercepts the y-axis at -3. Therefore, b = -3.
Now, substitute m = 0 and b = -3 into \( y = mx + b \)
\( y = (0)x + (-3) \)
\( y = 0 - 3 \)
\( y = -3 \)
Answer:
Step-by-step explanation:
Hope this helps Amy~
Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Answers
Lee's TV costs $4.05 to operate for a month of 30 days.
To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.
First, let's find out how many watts Lee's TV consumes in a day:
250 watts/hour x 3 hours/day = 750 watts/day
To convert this to kilowatts, we divide by 1000:
750 watts/day ÷ 1000 = 0.75 kilowatts/day
Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:
0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours
Finally, we can calculate the cost of operating the TV for a month:
22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05
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Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Answers
Refer to the equation y=mx+c
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.
What is the velocity of the car when t = 6? Please show your work and include units in your answer.
Answers
The velocity experimented by the car is equal to - 1 feet per second.
What is the velocity of a car at a given time?
Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:
y = m · t + b
Then, the functions for the velocity and acceleration are shown below:
Velocity
dy / dt = m
The slope represents the velocity of the car.
Acceleration
d²y / dt² = 0
Then, the velocity of the car is found by means of the secant line formula:
dy / dt = (0 ft - 10 ft) / (10 s - 0 s)
dy / dt = - 1 ft / s
The velocity of the car is - 1 feet per second.
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Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043
Answers
Answer:
y=2
Step-by-step explanation:
due to diagram have done the steps in the image
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answers
Answer:
No, because the inequality symbol should be less than or equal to 650
It cost Chole $7.05 to send 47 text messages. How many text messages did she send if she spent $26.70?
Answers
Answer:
178 text messages sent
Step-by-step explanation:
$7.05 / 47 = $0.15 per text
$26.70/ $0.15 = 178 text messages
Answer:
178
Step-by-step explanation:
7.05 divided by 47 equals 0.15. so one text is 0.15. if you divide 26.60 by 0.15, you get 178.
3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2
Answers
Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2
yes or no
is the following a function
help!
Answers
Answer:
Yes
Step-by-step explanation:
This is a function because each input has an output
jordan drank 36 ounces of water today , how many cups of water did he drink ?
a. 4.5 cups
b. 9 cups
c. 18 cups
d. 288 cups
answer asapppp 2 .
Answers
Answer:
jordan drinks 4.5 cup of water
lYour paycheck, which totals $416.78, is directly deposited into your
checking account bi-weekly. During a four-week period, you automatically
pay $90.52 to the electric company, $306.25 for a car payment, and
$134.87 for cable. How much do you have left after you pay these bills?
Answers
Answer:
$301.92Step-by-step explanation:
Assume you initial balance was zero.
Added in 4 weeks:
416.78*2 = 833.56Deducted:
90.52 + 306.25 + 134.87 = 531.64Balance after payments:
833.56 - 531.64 = 301.92a line has a slope of -3/4 and passes through the point (-5, 4). what is the equation of the line?
Answers
Answer:
y = -3/4x-1/4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
where m is the slope and b is the y intercept
y = -3/4x +b
We have a point (-5,4)
4 = -3/4 (-5) +b
Changing to a common denominator
16/4 = 15/4 +b
subtracting 15/4 from each side
16/4-15/4 = -15/4 +15/4 +b
1/4 = b
y = -3/4x-1/4
Answer:
book
Step-by-step explanation:
kmgktn
angelina determined that her father’s age is 4 less than 3 times her age. If x represents angelina’s age, write an expression for her father’s age
Answers
Answer:
4 - 3x
Step-by-step explanation:
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Answer:
3x-4= Y
Y= her dad's age.