Answer:
Starts at 13122, and divides by 3
Step-by-step explanation:
4374 x 3 = 13122
Given that the four points A(1,2), B(2, -5), C(7,0) and D(p,q) are the vertices of the rhombus ABCD
calculate
a) the value of p and of q
Step-by-step explanation:
Three coordinates of a Rhombus is given to us. And the fourth coordinate is D(p,q) . Weneedtofind the value of p and q . We know that the diagonals of Rhombus bisect each other at right angles . So lets find the midpoint.
• Midpoint of AC :-
[tex]\tt\to Midpoint_{(AC)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg( \dfrac{1+7}{2},\dfrac{2+0}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg(\dfrac{8}{2},\dfrac{2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(AC)}= (4,1)}}[/tex]
_______________________________
• Midpoint of BD :-
[tex]\tt\to Midpoint_{(BD)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(BD)}= \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)}}[/tex]
_______________________________
Now since these two coordinates must be equal, therefore ,
[tex]\tt\to \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)= (4,1)\\\\\tt\to \dfrac{2+p}{2}=4 \qquad and \qquad \dfrac{q-5}{2}=1 \\\\\tt\to 2 + p = 8 \qquad and \qquad q-5 = 2 \\\\\tt\to p = 8 -2 \qquad and \qquad q = 2 +5 \\\\\tt\to\boxed{\orange{\tt (p,q) = (6,7) }}[/tex]
Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) is a rhombus
Answer:
The quadrilateral is a rhombus
Step-by-step explanation:
Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus
A rhombus is a quadrilateral with all its sides equal to each other.
We prove this using the formula
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1, y1) and (x2, y2)
For sides PL
P(-2, 3) L( 2, 6)
√(2 - (-2))² + (6 - 3)²
= √4² + 3²
= √16 + 9
= √25
= 5 units
For sides LU
L( 2, 6) U (7,6)
√(7 - 2)² + (6 - 6)²
= √5²
= √25
= 5 units
For side US
L( 2, 6) U (7,6)
= √(7 - 2)² + (6 - 6)²
= √5² + 0²
= √25
= 5 units
P(-2, 3), S(3, 3)
= √(3 - (-2))² + (3 - 3)²
= √5² + 0²
= √25
= 5 units
From the above calculation,
PL = LU = US = PS = 5 units
Hence, the above quadrilateral is a rhombus
An airport has enough space for 16 planes to park. There are 9 planes parked at the airport right now.
Let x represent how many more planes can park at the airport. Write an inequality that best describes the problem?
Answer: x=16-9
Step-by-step explanation:
16= total parking space
there are 9 plane already parked
16-9 = how many more plane can park
so the inequality is x=16-9
Answer:
16 ≥ 9 + x
Step-by-step explanation:
question: 2ab-4b
answer:
Answer:
Step-by-step explanation:
2ab - 4b
Taking 2b as common
2b( a - 2)
I need help on this question please
Answer:
Step-by-step explanation:
The simple answer is just move the left semi-circle to the right end and fill in the missing semi-circle. So the answer just becomes the area of the full rectangle....
area of the newly formed rectangle is 4 times 6
Area = 24
The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es A) How much do the animals on the farm weigh? B) How old are all the teachers at the school? How old is the oldest teacher at the school? D How much does the black and white puppy weigh? E) How many students ate lunch in the cafeteria today?
Answer:
A and C
Step-by-step explanation:NLE Choppa said so
Answer:
a and c
Step-by-step explanation:
what is forty five plus ninety
Answer:
=135
Step-by-step explanation:
45+90
=45+90
=135
Talitha loves Kpop. She has a total of 32 BTS and BLACKPINK shirts. The amount of BTS shirts she owns is 7 times the amount of BLACKPINK shirts. How many BTS shirts does she own?
Answer:
28
Step-by-step explanation:
4 x 7 = 28
28 + 4 = 32
Answer:
28
Step-by-step explanation:
4 x 7 = 28
28 + 4 = 32
Find the area of the regular polygon. Round your answer to the nearest whole number of square units.
Answer:
total area = 39.6 square units
Step-by-step explanation:
determine the inside angle
360 / 5 = 72°
half of the triangle = 36°
given:
adj = 3.3
Ф = 36°
length of the opp of a small triangle is = adj. tan Ф
opp = 3.3 * tan 36 = 2.4
area of a triangle = 1/2 b * h x 2 tringles
area =( 1/2 * 2.4 * 3.3 ) * 2
area = 7.92 multiplied by 5 equal shapes
total area = 7.92 * 5
total area = 39.6 square units
hope this helps
mark me as a brill please
good luck
The total area of the regular polygon should be considered as the 39.6 square units.
Calculation of the total area of the regular polygon:But before that following things should be calculated
first determine the inside angle i.e.
[tex]= 360 / 5[/tex]
= 72°
Now
half of the triangle = 36°
Since
adj = 3.3
Ф = 36°
So,
opp =[tex]3.3 * tan 36[/tex] = 2.4
Now
area of a triangle =[tex]1/2 b * h * 2[/tex]
[tex]=( 1/2 * 2.4 * 3.3 ) * 2\\\\= 7.92 * 5[/tex]
= 39.6 square units
hence, The total area of the regular polygon should be considered as the 39.6 square units.
Learn more about area here: https://brainly.com/question/24682685
Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.13 per mile driven. The second plan has an initial fee of 40 and costs an additional $0.18 per mile driven.
find the area of the composite figure
Answer:
the area is 6808
Step-by-step explanation:
You mulptly 34*34 for both squares because both squares are equal
and you get 1156.
Then you add 1156+1156=2312
then you multply 190*46=9120
then you subtract 9120-2312=6808
So that is you area=6808
Leon makes a rectangular logo for his skateboarding club. He cuts from fabric two copies of the trapizoid shown and joins them to form a rectangle. What is the area of the rectangular logo leon makes
Answer:
Area of the rectangular logo is 56cm²
Step-by-step explanation:
If we look at the picture the 2 trapezoids make a rectangle.
The length of the rectangle = 9+5= 14 cm and the breadth = 4 cm
Area of the rectangle = Length * breadth
A= 14*4= 56cm²
Area of the rectangular logo is 56cm²
Area of the trapezoid = 28 cm²
Area of the trapezoid = 1/2height( base1+ base2)
= 1/2 (4) ( 5+9)
= 2(14)= 28 cm²
Area of 2 trapezoids = 28 cm²+28 cm²= 56 cm²
1. Which expression is equivalent to 60m 2n6 for all values of m and n where the 5m-on-2 expression is defined? A. 12mns 12n B D. 55m?n mo
Given:
The expression is:
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
It can be written as:
[tex]=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}[/tex]
[tex]=12\times m^{-2-(-4)}\times n^{6-(-2)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=12\times m^{-2+4}\times n^{6+2}[/tex]
[tex]=12m^{2}n^{8}[/tex]
Therefore, the correct option is A.
helppppppppppppppppp
Answer: the answer is 46
Step-by-step explanation:
i added them all together
Answer:
739200
Forgive me if this is wrong
Step-by-step explanation:
This is hard math but I am going to help so
5 x 12 x 7 x 11 x 5 x 4 x 8
NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29
Answer:
Is - 4
Step-by-step explanation:
29/29 cancel it out
so it will leave -4 out
A bucket with 35 chips has a ratio of 2 blue chips for every 3 red chips. How many red chips are in the
bucket?
Answer:
10
Step-by-step explanation:
Theresa is baaking muffins for the school bake sale. She bakes 94 muffins.Her friend Diego bakes 37 muffins.They plan to place 8 muffins in each box to sell. What is the greatest number of boxes that Theresa and Diego can compleatly fill?
Answer:
16 boxes
Step-by-step explanation:
94+37=131
131/8=16.375
This means that the most possible boxes that they can fill is 16 boxes
Answer:
They can completely fill 16 boxes
Step-by-step explanation:
94 + 37 = 131
131/8 = 16.375
So that is 16 completely filled boxes and one box with .375 (3 muffins)
Please Help!!! URGENT
If a-b=2, then solve the following:
1. 2^a/2^b
2. 5^a/5^b
3. 4^0.5a/2^b
4. 3^b/3^a
Answer:
i think its #1.
Step-by-step explanation:
Im sorry if its wrong! I really don't do this stuff often...
How much does 4 miles =
Answer:
6.44 km
21120 feet
7040 yard
253440 in
Step-by-step explanation:
Answer:
4 miles =21, 120 ft
4 miles =253,440 inches
4 miles = 7040 miles
Step-by-step explanation:
Hope this helped!!!!
HELP The dot plots show the number of library books checked out by two groups of students. Which statement is true?
Question 2 options:
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
The distribution for Group A is skewed to the right, and the distribution for Group B is skewed to the left.
The distribution for Group A is skewed to the left, and the distribution for Group B is skewed to the right.
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the left.
Answer: hello the dot plots related to your question is missing attached below is the missing Dot plots
answer: The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
Step-by-step explanation:
The true statement is
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
This is because the data value of 10 in Group B makes it to be skewed to the right
A study population includes 1400 men and 1400 women. Which sample best represents the population?
68 men, 72 women
62 men, 95 women
12 men, 130 women
140 men, 24 women
A,B,C, or D plz just write the letter
Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
A) $15,932.34
B) $16,173.13
C) $17,002.34
D) $15,231.28
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
Answer:
a.
g(x) = (x – 2)2 + k
Step-by-step explanation:
The function that could be g(x) is (a) g(x) = (x - 2)^2 + k
How to determine the function?The function f(x) is given as:
f(x) = (x + 3)^2 - 10
The axis of symmetry of g(x) is 5 units to the right of f(x).
This means that:
g(x) = f(x - 5)
So, we have:
f(x - 5) = (x - 5+ 3)^2 + k
Evaluate the difference
f(x - 5) = (x - 2)^2 + k
Substitute g(x) = f(x - 5)
g(x) = (x - 2)^2 + k
Hence, the function that could be g(x) is (a) g(x) = (x - 2)^2 + k
Read more about axis of symmetry at:
https://brainly.com/question/15709421
#SPJ9
What is the best first step in solving the equation 3 + 346x = 5?
Subtract 3 from both sides.
Find the cube of 1/6.
Cube both sides of the equation
Subtract 5 from both sides.
Answer:
a. subtract three from both sides
roberta has 2/4 gallon of milk. she uses 1/8 as a serving. How many servings doe she have.
FOR 100 POINTS
Answer:
She should have 4 I mean thats my best
Step-by-step explanation:
what is 22% of 45
what is 32.5% of 250
Answer:
22%*45=
(22:100)*45 =
(22*45):100 =
990:100 = 9.9
32.5%*250=
(32.5:100)*250 =
(32.5*250):100 =
8125:100 = 81.25
Answer:
1) 9.9
2) 81.25
Step-by-step explanation:
1)
22% = 0.22
45(0.22) = 9.9
2)
32.5% = 0.325
250(0.325) = 81.25
The concession stand sells peanuts at football games. The peanuts are sold in-pound, -pound,
-pound, or 1-pound bags. The line plot shows the numbers of bags of peanuts that were sold during
last week's game.
Pls help
I need help desperately
Answer:
y = x + 4
Step-by-step explanation:
slope = 1
b = 4
What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... A. -6 B. -4 C. 4 D. 6
Answer:
D .6 is the correct option
Step-by-step explanation:
common difference=2nd term-1st term
= 8-2
=6
