Answer:
Let us consider the quadrilateral ABCD shown below.
Let us consider the quadrilateral ABCD shown below.

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Let the quadrilateral be ABCD.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We need the area of the quadrilateral whose vertices are;
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Let; A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Then, we have;
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area = (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So,
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Learn more about quadrilaterals here:
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The regression equation for change in temperature, y, to amount of rain, r, is given by ŷ = 0.2 − 1.4r. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66. The regression line overpredicts the temperature change.
2.66. The regression line underpredicts the temperature change.
1.94. The regression line underpredicts the temperature change.
−1.94. The regression line overpredicts the temperature change.
−3.02. The regression line underpredicts the temperature change.
Given:
The regression equation for change in temperature, y, to amount of rain, r, is given by
[tex]\hat{y}=0.2-1.4r[/tex]
The observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
To find:
The residual and interpret it.
Solution:
According to the question, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
So, the actual value is 2.3 degrees.
Put r=0.4 in the given equation, to find the predicted value.
[tex]\hat{y}=0.2-1.4(0.4)[/tex]
[tex]\hat{y}=0.2-0.56[/tex]
[tex]\hat{y}=-0.36[/tex]
We know that,
Residual = Actual value - Predicted value
[tex]Residual=2.3-(-0.36)[/tex]
[tex]Residual=2.3+0.36[/tex]
[tex]Residual=2.66[/tex]
Residual is positive because predicated value is less than the actual value.
So, the regression line underpredicts the temperature change.
Therefore, the correct option is B.
Solve for ... 2x + 3
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
equivalent answers for 64 to the power of 2/3
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
I NEED HELPS ASAP PLS
Answer:
9
Step-by-step explanation:
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
Which of these relations is a function?
I’m I correct??
Answer:
the first one on the bottom
Step-by-step explanation:
There is a little trick to find out if it is a function or not. This trick is called the vertical line test. if you can scan the figure with a virtual line and it does not touch more than one side of the figure at one time then it is a function. if it touches more than one side or line of the figure it is not a function.
If eight trash bags last for thirty days then 28 trash bags will last for how long
Answer:
105 Days
Step-by-step explanation:
Hope I helped
Answer:
105 days
Step-by-step explanation:
I don’t know if your teacher wants you to solve it like this but I used a proportion
8/30= 28/x
Holly has $225 to spend at the shopping mall. She decides to buy sweaaters and pants with her money. Sweaters cost $45 each and pants cost $25 each. The equation 45s + 25p = 225 represents this situation.
If Holly buys 3 sweaters, what is the greatest number of pants she can buy?
Answer:
3 pairs of pants
Step-by-step explanation:
Plug 3 in for s. Your equation should now be 45(3) +25p=225
Then distribute 135+25p=225
Subtract 25p=90
Divide p=3.6
Since you cannot buy half of a pair of pants you need to round down to three
Simplify the expression: 6/3(13−18)+2^4÷6
Answer:
-7.333
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
Pentagon JKLMN is similar to pentagon UVWXY.
What is the length of WX?
18
15
10
N
(not drawn to scale)
A 15
13
12
O 18
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
Corresponding sides are proportional. Sides with the same mark are the same length.
WX/XY = LM/MN = LM/KJ
WX/10 = 18/15
WX = 180/15 . . . . multiply by 10
WX = 12
Please helppp wil mark brainliest
Answer:
2,3
Step-by-step explanation:
WHY DO I FEEL EXTRA NICE- FFTVJHFTYSDEV
Answer:
cause u are nice
Step-by-step explanation:
TWENTY PIONTS!!!!! what completes the prime factorization of 315
Answer:
Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Answer:
Answer
Step-by-step explanation:
The answer is C
You would do 1.2 ÷ 4 which is 0.3
2.4 ÷ 8 is 0.3
3.9 ÷ 18 is 0.3
A is wrong because the constant of proportionality is 0.33333
B is wrong because the constant of proportionality is 0.6
No Problem!
using the equation y=-6x+1: if you choose -2 as the input ,what will be the output
Answer: 13
Step-by-step explanation: you substitute x for -2 because the input is known as x. The output is known as y; solving the new equation y=-6(-2)+1 you will get y=12+1 then y=13
What is the solution to the equation?
8v - 4(v + 8) = 8
O v = 2
O v = 10
ng
v=4
o
v=-4
Answer:
v =10
Step-by-step explanation:
8v - 4(v + 8) = 8
Distribute
8v -4v -32 = 8
Combine like terms
4v -32 = 8
Add 32 to each side
4v -32+32 =8+32
4v = 40
Divide by 4
4v/4 = 40/4
v =10
Answer:
v = 10
Step-by-step explanation:
Expand 8v - 4(v + 8) = 8 and then combine like terms:
8v - 4v - 32 = 8, or
4v = 40
Then v = 40/4, or v = 10
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms if necessary.
Answer:
slope is 2/4 or 1/2 simplified
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
Yall know the rate of change?
Answer:
M=-3
Step-by-step explanation:
Slope:
y2-y1/x2-x1
-3-3/1+1=6/-2=-3
A painter painted about a fifth of a room in a fifth of a day. Coley estimated the painter would paint 6 rooms in 6 days. Is Coley's estimate reasonable? Complete the explanation.
EXPLANATION: Coley's estimate (is not/is) reasonable because the painter's unit rate is (blank) room per day, so in 6 days the painter would paint about (blank) rooms.
Answer:
yes he is correct
Step-by-step explanation:
if he is painting 1/5 of a room in 1/5 of a day he is painting 1 room in 1 day therefore he can paint 6 rooms in 6 days
write a paragraph about the activites that you mostly do in holidays
Write an expression and solve. Cole wants to buy a shirt for $25. The sales tax
is 8%. How much will the shirt cost?
Show your work:
A. $27
B. $33
C. $45
D. $227
Answer:
A
Step-by-step explanation:
8% of 25 is 2 so 25 + 2 =27
Write the following in standard form.
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
WILL GIVE BRAINLIEST
Answer:
the answer is A
Step-by-step explanation:
Does anyone know thissss
THIRTY POINTS Will mark branliest if right.
Which expression is equal to the expression below?
(2 x 6)^4
A. 2^4 x 6^4
B. 8^4
C. 4 x (2 x 6)
D. 2 x (6)^4
Answer:A
Step-by-step explanation:A
PLEASE I NEED HELP!! what are two ways that you can tell that two ratios form a proportion? i really need to pass this test to get my grades up, I'm not trying to cry my whole winter break.
Answer:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Step-by-step explanation:
Answer:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fraction in it’s simplest form. Another way is to see if the numbers in the ratios are factors or multiples of each other. For example, 10:5 and 30:15. 10:15= 10/5 and 30:15= 30/15. Then you put it in simple form. 10/5 = 2 and
30/15 = 2. Therefore 10:5 and 30:15 are proportional.
Hope this helps :)
What's the answer
BchbhbdbhdjbcdjcnjcjndJncjjj
For smart ppl in math.
Answer:
It's all explained below :)
Step-by-step explanation:
So first we need to go to a graphing calculator! I usually use Desmos to do my stats stuff. You'll wanna head to their linear regression calculator (I can't add a link, but just google Desmos linear regresion and it'll pop up).
Put the points into the table. Lines of best fit have the equation y1 ~ bx1+a, so put that in the box right below the table, where you see another equation already written- just edit it. We see all the other numbers listed below that, so we know that b=-0.894 and a=13.599, so the line of best fit is -0.9x + 13.6 = y when you round those numbers.
The correlation coefficient is represented by the letter r. r is shown below as well, and is -0.964. Strong correlations are represented by a value close to the number 1, so this is strong, as it's very close. It is negative because of its sign. Correlation coefficients don't go over the number 1 or below -1, so be careful. I hope this was helpful! If you need any more clarification just let me know.
find the slope of this line
Answer:
slope is 1
Step-by-step explanation:
0--2=2
1--1=2
2/2-1
∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14). ∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8). ∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
Answer:
First is ABC and MNO, second is rotation I believe.
Step-by-step explanation: