what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
Need help ASAP ???
Answers
Answer:
The slope of AB is - 2,
Slope of BC is \frac{1}{2}
2
1
Slope of CD is -\frac{3}{4}−
4
3
Slope of AD is \frac{1}{2}
2
1
,
ABCD is trapezoid because one pair of opposite sides is parallel.
Step-by-step explanation:
Given vertices of quadrilateral ABCD,
A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2),
∵ Slope of a line passes through two points (x_1, y_1)(x
1
,y
1
) and (x_2, y_2)(x
2
,y
2
) is,
m=\frac{y_2-y_1}{xc_2-x_1}m=
xc
2
−x
1
y
2
−y
1
Thus, the slope of AB = \frac{3+1}{-3+1}=\frac{4}{-2}=-2
−3+1
3+1
=
−2
4
=−2
Slope of BC = \frac{5-3}{1+3}=\frac{2}{4}=\frac{1}{2}
1+3
5−3
=
4
2
=
2
1
Slope of CD = \frac{2-5}{5-1}=-\frac{3}{4}
5−1
2−5
=−
4
3
Slope of DA = \frac{-1-2}{-1-5}=\frac{-3}{-6}=\frac{1}{2}
−1−5
−1−2
=
−6
−3
=
2
1
Since, when two line segment having the same slope then they are parallel to each other.
∴ BC ║ DA
A quadrilateral only having two parallel sides is called trapezoid,
Hence, ABCD is a trapezoid.
Given the graph of quadrilateral ABCD, the coordinates of A, B, C and D are (-3,-4), (1,4), (4,0) and (1,-4) respectively. The length of DA using distance formula is 4 units.
The coordinates of the points in the graph is given in the form of (x,y) where x is the abscissa and y is the ordinate.
The distance formula is used to find the length of the line given the endpoints of the line.
Given endpoints as [tex](x_1, y_1) \ and \ (x_2, y_2)[/tex],
[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinates of vertices are given by:
A = (-3,-4)
B = (1,4)
C = (4,0)
D = (1,-4)
The length of DA can be found by distance formula :
DA = [tex]\sqrt{(1+3)^2+(-4+4)^2} = \sqrt{(1+3)^2} = \sqrt{4^2} = 4[/tex]
Learn more about distance formula here
https://brainly.com/question/25841655
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Related Questions
please answer this!!!!
Answers
113.625 degrees is the answer
52
Х
degrees
PLEASEHEHEH
Answers
Answer:
x = 142 degrees
Step-by-step explanation:
52 + 90 + x = 180
142 + x = 180
-142 -142
-------------------
x = 38
180 - 38 = 142
Hope this helped.
Pls help me I’m so confused. I thought I was doing it right but it wasn’t
Answers
Answer:
There are 220 possible ways
Step-by-step explanation:
12!/3!(12-3)!
12!/3!•9!
12•11•10•9! / 3!•9! *now you can cancel both 9!
12•11•10 / 3!
12•11•10 / 3•2•1
1320/6
220
Number of daily visitors of a park in Dubai at the end of 2012 was 5000 This was predicted to increase at a rate of 6% each year.
Calculate the predicted number of visitors at the end of 2OL4.
Answers
Answer:
Answer: 5618
Step-by-step explanation:
Simplify 5 x 5^2 leaving your answer in index form.
Answers
Answer:
5^3
Step-by-step explanation:
5^1 x 5^2
indices rules when multiplying you add the powers to 1+2=3
5^3
The value of n is a distance of 2 units from -1 on a number line which numbers can be the value of n
Answers
Answer:
{-3, 1}
Step-by-step explanation:
If n is to the right of center -1 on a number line, we ADD 2 to -1, obtaining 1. Here n is 1.
If n is the left of center -1 on a number line, we SUBTRACT 2 from -1, obtaining -3. Here n is -3.
What is the difference between 15% of 7 and of 7?
Answers
Two cyclists, 63 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower
cyclist.
b. What is the speed of the faster cyclist?
mi/hr
Answers
Answer:
a) 9r=63
b) 14 mi/h
Step-by-step explanation:
Let say r the speed of the slower cyclist,
2*r the speed of the faster cyclist,
they meet 3 hours later:
a)
(r+2*r)*3=63
3r*3=63
9r=63
r= 63/9
r=7 (mi/h)
b)
2r=14 (mi/h)
Can some one help me on this math question its confusing ill give brainly when right!!!
Answers
answer is( ab)
Step-by-step explanation:
here is your answer
Answer:
Step-by-step explanation:
Coefficients: -2, 3, 5
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete
Answers
Answer: D i hope this helps
Step-by-step explanation:
7(8+a)=189 please help and give me step by step
Answers
Answer: a = 19
Step-by-step explanation:
Given
7 (8 + a) = 189
Divide 7 on both sides
7 (8 + a) / 7 = 189 / 7
8 + a = 27
Subtract 8 on both sides
8 + a - 8 = 27 - 8
a = 19
Hope this helps!! :)
Please let me know if you have any questions
56 + 7a = 189
7a = 133
a = 19
A jet ski rental company charges h dollars for the first hour its jet skis are rented and k
dollars per hour for each hour rented after the first. If a jet ski is rented for t total hours,
where t is an integer greater than 2, which of the following represents the total rental cost
of the jet ski?
h+t+k
B
h+ tk
h+k(t-1)
h+k(t + 1)
h+
Answers
Answer:
C. h + k (t - 1)
Step-by-step explanation:
If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?
The first hour = $10
The 3 additional hours (totaled) = $15
Cost = $25
So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.
h = 10
k = 5
t = 4
A. 10 + 4 + 5 = 19
B. 10 + (4 · 5) = 10 + 20 = 30
C. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = 25
D. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = 35
E. 10 + (4/5 - 1) = 10 + (-0.2) = 9.8
C is the only problem that comes out as $25, therefore it must be the correct answer.
There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?
Answers
Answer:
4/25
Step-by-step explanation:
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
Replace marble
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
P(black, replace, black) = 2/5 * 2/5 = 4/25
6. Find an angle which is equal to its complement.
Answers
Answer:
x= 45
Step-by-step explanation:
Complementary angles equal 90 degrees
The angles are equal
x+x = 90
2x= 90
Divide by 2
2x/2 = 90/2
x= 45
Two lateral faces of a rectangular pyramid have a base length of 10 inches and a height of 15 inches. The other two lateral faces have a base length of 18 inches and a height of 13 inches. What is the surface area of the rectangular pyramid?
Answers
The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = [tex]\frac{1}{2}[/tex] x base x height.
From the given question;
The area of one of the two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
Thus,
the surface area of the pyramid = 150 + 234
= 384 square inches
Therefore, the surface area of the rectangular pyramid is 384 square inches.
For more clarifications: https://brainly.com/question/23564399
Answer:
Step-by-step explanation:
The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = x base x height.
From the given question;
The area of one of the two lateral faces = x b x h
= x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = x b x h
= x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
The area of the rectangle is B x H = 18 x 10 = 180 square inches
Thus,
the surface area of the pyramid = 150 + 234+180
= 564 square inches
Therefore, the surface area of the rectangular pyramid is 564 square inches.
Please help explanation if possible
Answers
Answer: x = 2 and y = -4
x + 2y = -6
x = -6-2y
Putting this in value of x in
6x + 2y = 4
6(-6-2y) + 2y = 4
-36-12y+2y = 4
-10y = 4+36
y = 40/(-10)
y = -4
Now putting this value of y in
x + 2y = -6
x + 2(-4) = -6
x -8 = -6
x = -6+8
x = 2
Therefore x = 2 and y = -4
If we put these values we can check this
x + 2y = -6
2 + 2(-4) = -6
2 -8 = -6
-6 = -6
please click thanks and mark brainliest if you like :)
x+2y= -6 => 2y= -6-x
so substitute 2y into the equation 6x+2y=4
=> 6x-6x-x=4
x=2
find y:
6(2) + 2y= 4
y= -4
-there u go! :)
Which of the following is a result of shifting a circle with equation
(x - 1)2 + (y - 4)2 = 16
up 4 units?
A. Both the x- and y-coordinates of the center of the circle increase
by 4.
B. Both the x- and y-coordinates of the center of the circle decrease
by 4.
c. The y-coordinate of the center of the circle increases by 4.
D. The y-coordinate of the center of the circle decreases by 4.
Helppp pls
Answers
Answer:
Hello,
Answer C
Step-by-step explanation:
x'=x
y'=y+4
(x-1)²+(y-4)²=16
(x'-1)²+(y'-8)²=16
is the circle of center (1,5) and radius 4
The y-coordinate of the center of the circle increases by 4.
express the trinomial (2x+4)(x-1)
Answers
The answer would be 2x^2+2x-4
Answer:
[tex](2x + 4)(x - 1) \\ = 2 {x}^{2} - 2x + 4x - 4 \\ 2 {x}^{2} + 2x - 4 \\ thank \: you[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST!
Find the value of x
Answers
It will be 50° as it's adjacent to each other
PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete
Answers
Answer:
d
Step-by-step explanation:
rare coin collectors are always looking to expand their collections with individually different coins
Is 3.18 a real number
Answers
Discuss how you will use number sense to help plan a trip to your state capital. In your response, include the numbers that would be needed for this trip. Explain how understanding place value,number properties and the computation can help u with your planning
Answers
To plan a trip to your state capital, you need the following numbers
The number of available routesThe distance The speed limitTimeAssume you're travelling by road, you need to highlight the number of routes between your state and the state capital.
The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.
Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).
The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:
[tex]Speed = \frac{Distance}{Time}[/tex]
Make time the subject
[tex]Time= \frac{Distance}{Speed }[/tex]
The value of time can be estimated/approximated as a natural number.
In addition to the previous number, you may also need the following numbers
The liters of fuel to useThe amount of fuel per literThe essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.
Read more about number properties at:
https://brainly.com/question/623357
Please help explanation if possible
Answers
Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
4 = 4(-2) + b
4 = -8 + b
12 = b
m = 4 and b = 12
Therefore, the equation of your line is y = 4x + 12
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answers
Answer:
1 : 5
Step-by-step explanation:
3 students zoo
15 students aquarium
zoo : not zoo
3: 15
Divide each side by 3
3/3 : 15/3
1 : 5
evaluate 2 tan 45 - tan 60
Answers
Answer:
2 - √3
Step-by-step explanation:
tan45 = 1
tan60 = √3
2 tan 45 - tan 60
2(1) - √3
=> 2 - √3
Answer:
In degrees: 0.27 (rounded)
In radians: 2.92 (rounded)
Step-by-step explanation:
Brainliest, please!
pi = c/d solve for d?
Answers
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
Three subtracted by a square of a number
Answers
Answer:
3-x^2
Step-by-step explanation:
Let x be the number
The square is x^2
3 subtract the square of a number
3-x^2
Hannah is showing her work in simplifying (6.1 − 4.5) − 2.5 + 3.9. Identify any error in her work or reasoning.
Step 1: (6.1 − 4.5) − 2.5 + 3.9
Step 2: 6.1 + (− 4.5 − 2.5) + 3.9 (associative property)
Step 3: 6.1 − 7 + 3.9
Step 4: 6.1 + 3.9 − 7 (distributive property)
Step 5: 10 − 7 = 3 (5 points)
please help
Answers
Answer:
pretty sure she did something wrong in the 1st step, it specifically said to do 6.1-4.5, but she changed the parathenesis, resulting in a different answer
Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. What expression shows Anna and Damien how many chinchillas they have now?
Answers
Answer:
16!
Step-by-step explanation:
4 x 3 = 12 + 4 = 16
I suck at math ik but i need anyones help please
Answers
Answer:
f(2)= 1
f-¹(1)= 2
f-¹(f(2))= 2
I hope I helped you^_^
