Answer:
Proved
Step-by-step explanation:
Given
[tex]B =(-2,-1)[/tex]
[tex]U = (0,3)[/tex]
[tex]G = (3,2)[/tex]
[tex]S = (4,-3)[/tex]
Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
Taking BU and GS as a pair
First, we calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For BU
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{0- -2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For GS
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3-2}{4-3}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
The slope of BU and GS are not the same; hence, they are not parallel.
Taking BS and GU as a pair
Calculate the slope
For BS
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3 - -1}{4- -2}[/tex]
[tex]m = \frac{-2}{6}[/tex]
[tex]m = -\frac{1}{3}[/tex]
For GU
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3-2}{0-3}[/tex]
[tex]m = \frac{1}{-3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The slope of BS and GU are the same; hence, they are parallel.
BUGS is a trapezoid because BS and GU have the same slope
Mia has
7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?
Answer:
7/32 pounds each = 0.21875
Step-by-step explanation:
7/8 divided into 4 is the same as
7/8 multiplied by 1/4 = 7/32
WILL MAKE BRAINLIEST
Answer:
75 vitamins = 18 dollars
Step-by-step explanation:
25 vitamins are equal 6 dollars
Answer:
$311.25
Step-by-step explanation:
Hope its right! 50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15
1/$4.15 x 75 = 75/$311.25 I hope this is right if not im so sorry!
is x^2+2bx-v^2 a perfect square trinomial?
Answer:
no x² + 5x + c is a perfect square
Step-by-step explanation:
I need m<1 and m<2 so if u know pls help
What is the volume?
(*I wrote the numbers out just in case you couldn't see them.)
Answer:
I believe the volume is 540cm
Step-by-step explanation:
To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)
For this shape it's just:
9(L)*12(W)=108
108*5(H)=540
Answer:
the volume should be 58320
Step-by-step explanation:
12 x 9 x 12 x 5 x 9 = 58320
sorry if I'm wrong
In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.
Answer:
540
Step-by-step explanation:
fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45
Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540
What is an equivalent expression to (2^-4*z^-3)^5
Answer
1/ 2^20 • z^15
step by step explanation
A:90 clockwise
B:90 counterclockwise
C:180
D:270 clockwise
E:270 counterclowise
Answer:
A. 90 clockwise
Step-by-step explanation:
I think...
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see if the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What is a Type I error and its consequence in this context
Answer:
The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.
Step-by-step explanation:
Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.
In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.
The null hypothesis is, H0: The proportion of metal that is gold is 75%
The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.
Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.
Thus it shows the error of type I rejecting the null hypothesis.
Translate this sentence into an equation
The product of donnie’s savings and 3 is 48
Use d to represent Donnie’s savings.
A bread recipe calls for 1 teaspoon of yeast for every 2
cups of flour.
Drag the points to create the graph of the function.
Then enter the coordinates for points A and B.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
What is Coordinates system?A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
4 8
5 10
6 12
7 14
8 16
9 18
10 20
Thus, y-coordinates are double than x-coordinates.
Learn more about Coordinate system from:
https://brainly.com/question/4726772
#SPJ2
Someone help with this please!
Answer:
Two Real Solutions
Step-by-step explanation:
Use quadratic equation discriminant5t^2+3t-7=0
[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:
Since the discriminant is greater then 0, it two real solutions.
find ( f•f)(0)
f(x)=x^2-1
A. 1
B. 0
C. -8
D. -1
Answer:
D
Step-by-step explanation:
Question 4 pls thanks, I will mark Brainliest
the second one.
Step-by-step explanation:
sjisidjdododpdpddod
(Polynomials)Expand: (m/2+2n)^3
Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!
Step-by-step explanation:
1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3
(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)
2. Use division distributive property: (x/y)^a= x^a/y^a
(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)
3. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)
4. Use multiplication distributive property (xy)^a= x^a y^a
(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)
5. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+4n^2)
6. Cancel 2
(m/2+2n)(m^2/4+m×2n+4n^2)
7. Regroup terms
(m/2+2n)(m^2/4+2mn+4n^2)
8. Expand by distributing sum groups
m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)
9. Expand by distributing terms
m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)
10. Expand by distributing terms
m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3
11. Collect like terms
m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3
12. Simplify.
And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3
Can you make me Brainliest please
Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation:
help me pls quick fill it out
Answer
Step-by-step explanation:
Solve the following quadratic equation
5х2 - 10x – 21 = 39
Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form by subtracting 39 from both sides. We get:
5x^2 - 10x - 60 = 0
Reduce this by dividing all four terms by 5:
x^2 - 2x - 12 = 0
Use the quadratic equation to find the roots. The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:
(-2)^2 - 4(1)(-12) = -44 of which 4 is a perfect square factor and 11 is not.
Because the discriminant is negative, the given equation has two unequal, complex roots, which are:
-(-10) ± i√4√11
x = -----------------------
10
or x = 1 ± (1/5)√11
Carlos compro una TV el cual costaba $1200 si por aniversario la tienda le hace un descuento del 25% cuanto dinero le descontaron a Carlos?
Answer:
Descuento= $240
Step-by-step explanation:
Dada la siguiente información:
Precio de venta (sin descuento)= $1.200
Descuento= 20%
Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:
Descuento= precio de venta*porcentaje de descuento
Descuento= 1.200*0,2
Descuento= $240
(NO LINKS OR else your be reported)
Pls help me if your good at math I’ll mark brainliest I
~couldn’t get the whole picture in:(~
A pair of parallel lines are translated.which of these could be the result?
Answer:
B
Step-by-step explanation:
Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.
Answer:
82 minutes
102 minutes with breaks
Step-by-step explanation:
So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.
Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French
IXL Q.12 PLS HELP I HAVE BEEN STUCK ON THIS ONE FOR SOME TIME.
Answer:
m∠1 = 100°
Step-by-step explanation:
Find the solutions to x2 = 24.
O A. x = +216
O B. x = 16.6
O C. x= 46
O D. x = +62
Answer:
x =±2 sqrt(6)
Step-by-step explanation:
x^2 = 24
Take the square root of each side
sqrt(x^2) = sqrt(24)
x = ±sqrt(4*6)
x =±sqrt(4) sqrt(6)
x =±2 sqrt(6)
10. A map uses the scale of ã of an inch to represent 3
miles. If the actual distance between two cities is
25 miles, then what is the length on the map?
please answer fast help me i have thgis math problem
Answer:
[tex]x = 152[/tex]
because these angles are infront of each other
Answer:
x = 152
Step-by-step explanation:
x and 152° are vertical angles and are congruent , then
x = 152
A linear sequence starts
11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9
Answer:
9n + 2.
Step-by-step explanation:
This is arithmetic with common difference d = 9.
nth term = a1 + d(n - 1) (a1 = 11) 11 + 9n - 9
= 11 + 9(n - 1)
= 9n + 2.
Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]
Answer
25(x2−4)
Rewrite 4
as 22.25(x2−22)
50 pts , i need the correct answer, my patient is gone because so many ppl put fake answers, just give the right answer i dont have the energy to even say pls anymore.
Answer:
Hello! Sorry about your luck before although im 99% sure my answer is correct.
Answer: area is 180
Step-by-step explanation:
Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...
7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!
Please help!! >w< It will be really appreciated :D
Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?
Answer:
13,666.7
Step-by-step explanation:
you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.
Do the points of the following quadrilateral create a square? A(3,4) B(-3,4)
C(-3,-2) D(3,-2)
1) Yes
2) No
Answer:
Yes
Step-by-step explanation:
You can refer to the photo that I attached.