Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find the area of the parallelogram.
Answer:
D(1,4) - the fourth vertex, the area is equal to 12
Step-by-step explanation:
A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)
xo= (xA+xc)/2 x0= (-2+4)/2=1
y0=(yA+yC)/2 y0= (1+3)/2=2
0(1,2)
O is the midpoint of BD, so let's find the vertex D
X0= (xB+xD)/2 1= (1+xD)/2 xD=1
y0= (yB+yD)/2 2= (0+yD)/2 yD=4
D(1,4)
the vector DA is (-2-1, 1-4)= (-3,-3)
the vector DC is (4-1, 3-4)= (3,-1)
The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)
The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)
cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5
sinD= sqrt (1- 1/5)=2/ sqrt5
S=3sqrt2*sqrt10*2/sqrt5= 12
what are 5 expressions that are equivalent to 12x4
Answer:
6 x 8
48 x 1
24 x 2
12 x 4
16 x 3
Are the 5 expressions equivalent to 12 x 4
please help me it's for my homework
Answer:
33.6%
Step-by-step explanation:
You just put the decimal in front of the 6 and then you add the percent after the 6.
The outside temputure was -4 f in the morning and 13 f in the afternoon.by how much did the temputure increase
Answer:
17
Step-by-step explanation:
You need to add 4 degrees to get to 0.
You need to add 13 degrees to get to 13
The total = 4 + 13 = 17
is y = 4.3x proportional
Answer:
yupp y is always 4.3 times more than x
Step-by-step explanation:
Step-by-step explanation:
no its not proportional
answer from Gauth math
PLS HELP, FINAL EXAM QUESTION!!
Which of the following functions best represents the graph?
f(x) = (x − 2)(x − 3)(x + 2)
f(x) = (x + 2)(x + 3)(x + 12)
f(x) = (x + 2)(x + 3)(x − 2)
f(x) = (x − 2)(x − 3)(x − 12)
Answer:
C
Step-by-step explanation:
The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)
20.
What is the distance from the point (3,8) to the
point (7,-6)?
a. 2V5 units
b. 2V 47 units
c. 2V 51 units
d. 2V53 units
e. 2V74 units
Answer:
the answer is d using the distance formula
Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(
Answer:
a
Step-by-step explanation:
ssdsdaaaaashjkkkllbhgdsfiii
Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?
Hey there! I'm happy to help!
Train X takes out 1/4 of our journey.
Now, we have 3/4 of the journey left.
Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!
3/4*3/4= 9/16
So, 9/16 of the total journey is done by Train Y.
A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.
So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.
3/16d=10
Divide both sides by 3/16.
d= 53 1/3
We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.
53 1/3 * 9/16= 30
So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.
Have a wonderful day and keep on learning! :D
got some more math for yall
Answer:
A. 9x=72
Step-by-step explanation:
9 times exavior = 72
Xavior is X
9x=72
9x/9=72/9
x = 8
Answer is A
Can someone please do this maze for me and show work?! Dm me and help me plsss
Answer:
See the attachedStep-by-step explanation:
Use midpoint formula to calculate x or y- coordinates.
A(x₁, y₁), B(x₂, y₂)M = ((x₁ + x₂)/2, (y₁ + y₂)/2)Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )
Answer:
212
Step-by-step explanation:
[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]
[tex]3(9) + 2(100) + 15[/tex]
[tex]27 + 200 - 15[/tex]
[tex]212[/tex]
8. Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answer:
5
Step-by-step explanation:
x = 5 ( as the radius of the circle)
8. 7.6 + (-7.1) = what does it equal plz help
Answer:
vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb
Step-by-step explanation:
Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
A) 2 B) 8 C) 9 D) 10
Answer:
10 shirts
Step-by-step explanation:
We can use a ratio to solve
50 dollars 125 dollars
-------------------- = -------------------
4 shirts x shirts
Using cross products
50 *x = 4 * 125
50x = 500
Divide each side by 50
50x/50 = 500/50
x = 10
Answer:
D. 10
Brainliest, please!
Step-by-step explanation:
50/4 = 125/x
25/2 = 125/x
25 = 250/x
x = 250/25
x = 10
Anjali paid $8 for a salad. She now has
$37. With how much money did she start?
Answer:
Below.
Step-by-step explanation:
37+8= 45
45-8=37
so 45.
Answer:
45
Step-by-step explanation:
total money = amount spent plus amount remaining
total money = 8+37
total money = 45
The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap
thank you
Step-by-step explanation:
Let the angles of quadrilateral be
X, 2x, 3x, 4x
Sum of all angles of quadrilateral = 360
X+2x+3x+4x = 360
10x = 360
X = 360/10 = 36
Ans: the four angles are
X = 36
2x = 2 X 36 = 72
3x = 3 X 36 = 108
4x 4 X 36 = 144
10. Which fraction is equal to 1/5?
4/7 6/30 5/15
Answer:
It is 6/30
Step-by-step explanation:
This is because when you simplify 6/30 to the lowest form, you get 1/5
Answer:
There are a lot of fraction that can be equal to the values given above. It can be as follows:
1/5 = 2/10, 3/15, 4/20, 5/25, 6/30, 7/35,8/40
4/7 = 8/14, 12/21, 16/28
6/30 = 12/60, 18/90, 24/120
5/15 = 1/3, 10/30, 20/60
Hope this helps. Have a nice day.can someone help me please??
Answer:
11,4 > 11 > 9,8 > 1
Step-by-step explanation:
To list the numbers from smallest to largest we need to determine the value of them in same/similar format
11 and 1 is in same format
The approximate value of [tex]\pi ^{2}[/tex] 9.8
the root of [tex]\sqrt{121}[/tex] = 11
the root of [tex]\sqrt{130}[/tex] is = 11.4 approximately
Now we have them as real numbers we can evaluate
11,4 > 11 > 9,8 > 1 we don't need to write 11 twice but if needed we can write is as:
11,4 > 11 = 11 > 9,8 > 1
Please help its line segments
Step-by-step explanation:
[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]
Answer:
x=13
Step-by-step explanation:
BC = CD
6x-16 = 4x+10
Subtract 4x from each side
6x-16-4x = 4x+10-4x
2x-16 = 10
Add 16 to each side
2x-16+16 = 10+26
2x = 26
Divide by 2
2x/2 =26/2
x = 13
solve
[tex] {49}^{x} = {7}^{3} [/tex]
please help
Answer:
hey answer is above
god bless you
Answer:
[tex]\displaystyle 1\frac{1}{2} = x[/tex]
Step-by-step explanation:
[tex]\displaystyle 7^3 = 49^x → 7^3 = 7^{2x} ⇉ 3 = 2x \\ \\ 1\frac{1}{2} = x[/tex]
I am joyous to assist you at any time.
please help only real answers please
Answer:
D. WV
Step-by-step explanation:
A ray has one endpoint and one arrow. It goes infinitely in one direction.
D is the one that is a ray; the endpoint is on the left, the arrow is on the right.
Hey! I need help please!
Answer:
11.36
Step-by-step explanation:
because the total amount of gallons divided by 34.08 will get you 11.36
Answer:11.36
Step-by-step explanation:
Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.
It should be noted that a statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be;
D. The graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
What is a graph?It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.
Given that;
The function is,
⇒ f(x) = - 4x³ - 28x² - 32x + 64
Now, We can draw the graph of the function,
We get;
The x-axis at x = -4 and crosses the x-axis at x = 1.
In this case, the statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be is that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
Learn more about graphs on:
brainly.com/question/26013847
#SPJ5
Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.
Answer:
2.8 and 4.4
Step-by-step explanation:
The distance between tick marks is 0.25.
Since the first number is greater than 2.75, we can approximate is as 2.28.
The second number is less than 4.50, we can approximate it as 4.4.
Can someone give me the answer?
Answer:
5 inches
Step-by-step explanation:
The distance from the center of a circle to any point on the circumference must be equal.
−1 4/5−(−2 7/8)
4 3/4−(−1 1/12)
−1 4/5−(−2 7/8)
3 1/3-5
−1/3−(−1/2
Answer:
1) 43/40
2) 35/6
3) 43/40
4) -5/3
5) 1/6
Step-by-step explanation:
1) -1 4/5 = -(1*5 +4)/ 5= -9/5
or 1= 5/5 so -1 4/5= -( 5/5+ 4/5)=-9/5
-2 7/8= -(2*8+7)/8=-23/8
=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40
= 43/40
2) 4 3/4= (4*4+3)/4= 19/4
-1 1/12= -(1*12+1)/12= -13/12
=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6
3) same like 1)
4) 3 1/3 = (3*3+1)/3= 10/3
=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3
5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6
What is the quotient of 5.67 x 107 and 2.7 x
104 expressed in scientific notation?
express the trinomial (x+1)(3x+2)
Answer:
3x^2+5x+2
Step-by-step explanation:
(3x^2)+(2x)+(3x)+(2)
3x^2+5x+2.
Answer:
3x²+5x+2
Step-by-step explanation:
(x+1)(3x+2)
(3x²)+(2x)+(3x)+(2)
3x²+5x+2.