Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
For similar question on parallelogram.
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Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
So the line we want has equation
r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)
where t is any real number.
The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
What is a vector equation?A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.
Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
r(t) = q*t + p
r(t) = (14, -8)t + (-4, 12)
r(t) = (14t - 4, 12-8t)
where t is any real number
Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
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PLEASE HELP!!
Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125
Step-by-step explanation:
5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)Hope it helps...
Answer:
The picture should be easier to look at :)
Step-by-step explanation:
Just got it right on edge 2020
You are having a small party and the Pizza driver drops
off 5 Pizza's. They are all cut into eighths. You also
have 3 slices left over in your fridge from the night
before. Write how much pizza you have as an
improper fraction(Remember that an improper
fraction has the numerator larger than the
denominator)
Answer:
43/8
Step-by-step explanation:
5*8=40
40+3=43
There are 8 slices per pizza so the answer would be 43/8
It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!
Answer:
so u could write about its teeth
Step-by-step explanation:
and its legs or its scary presence or its long arms and it erupted from a haunted house
hope this helps : )
i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest
Plz help meeeeee 9q=81
Answer:
q=9
Step-by-step explanation:
9q=81
Divide each side by 9
9q/9=81/9
q = 9
Answer:
Q=9
Step-by-step explanation:
SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9
9Q/9=81/9
WHICH SIMPLIFIES TO
Q=9
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
What is the inverse of the function f(x)=-\dfrac{1}{2}(x+3)f(x)=− 2 1 (x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis
Answer:
The inverse of the function is
-2x-3
Step-by-step explanation:
The inverse of the function f(x) = -\dfrac{1}{2}(x+3) is f(x)⁻¹ = -2x - 3
What is the inverse of a function?The inverse of a function is a function that gives us the actual value for which the desired function has a given result.
The given function is:
[tex]\mathbf{ f(x)=-\dfrac{1}{2}(x+3)}[/tex]
To find the inverse, we need to follow the following steps
replace the role of f(x) by y;[tex]\mathbf{ y=-\dfrac{(x+3)}{2}}[/tex]
Swap x and y variables[tex]\mathbf{ x=-\dfrac{(y+3)}{2}}[/tex]
Solve for y;2x = - (y + 3)
2x = -y - 3
y = -2x - 3
Writing back in inverse notation, we have:
f(x)⁻¹ = -2x - 3
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What is the length of BC given that figure ABCD is a rectangle
A. 11
B. 8
C. 16
D. 22
Answer:
C, 16
Explanation:
A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!
The measure of length BC of the rectangle will be 16 units. Then the correct option is C.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
From the diagram, we have
AD = BC = 16 units
Then the correct option is C.
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Find the partial sum of the first 4 terms of the series:
5n + 2
n=1
60
58
85
None of these
Answer:
[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to compute the following:
[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.
Also need the slow of line p
Answer:
y + 5 = (1/3)(x - 6)
Step-by-step explanation:
Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q: -1/3.
Starting with the point-slope formula y - k = m(x - h), we get
y + 5 = (1/3)(x - 6)
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Joan's friends did better on the test than Anne's friends B) Anne's friends did better on the test than Joan's friends C) The lowest score among both groups was 78 D) The highest score among both groups was 93
Answer:
I think The answer is B
Step-by-step explanation:
The anne's friends studied hard and got high marks higher than john's friends
Answer:
A) True
B) False
C) True
D) True
Step-by-step explanation:
Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18
Answer:
its b.
Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
Write the first four terms in the following sequences. A(n+1)=12 A(n) for n≥1 and A(1)=4 .
Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8
30 POINTS! Arrange the steps to solve this problem. 9 steps.
Answer:
1. Multiply the first equation by 3
3(x + y ) = 3(-2)
3x + 3y - 6
2. Add 3x + 3y = - 6 ( obtained in step 1) to
2x - 3y = - 9 (given) and solve for x
3. x = - 3
4. Substitute the value of x in the first equation
( x + y = - 2) to get y = - 1
5. The solution for the linear system of equations is ( - 3 , 1)
Hope this helps you
Plz help me -5=-1/6b
Answer:
b = 30
Step-by-step explanation:
-5=-1/6b
Multiply each side by -6 to isolate b
-5 * -6 = -6 * -1/6 b
30 = b
Which of the following are accurate descriptions of the distribution below?
Answer:
the most years of experience is 2, and the least years are 10 years
Step-by-step explanation:
Which is the graph of g(x) = [X + 3]
Answer:
The "top center" one
Step-by-step explanation:
-y=x+3
-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)
m=1 b=3
-Slope: 1 , y-intercept: 3
X | y
-3 | 0
0 | 3
Then you can use a graphing calculator if you'd like !
is 5 rational or irrational
Answer:Rational
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1.
Answer:
Rational
................
Select all the examples of categorical data.
colors
number of siblings
favorite pet
profits
genre of music
Answer:
The answer is colors, genre of music, favorite pet
Step-by-step explanation:
Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
Answer:
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
x - 3y=1
7x+2y=7
Jerry's way of solving the equation
2y=7-7x
Divide both sides by 2
2y/2=7-7x/2
y=7-7x/2
Substitute y=7-7x/2 into (2)
7x+2y=7
7x+2(7-7x/2)=7
This is a complex way of solving the equation
Max's proposed efficient way
x - 3y=1 (1)
7x+2y=7 (2)
From (1)
x=1+3y
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Substitute x=1+3y into (2)
7x+2y=7
7(1+3y)=7
7+21y=7
Divide through by 7
1+y=7
y=7-1
y=6
Is the efficient way that Max proposed
Answer:
A
Step-by-step explanation:
Brainliest?
please help attachment
Answer:
v = 7
Step-by-step explanation:
a. v = 5x + 2y
= 5 × 3 + 2 × -4
= 15 + -8
= 7
Sorry I know only the A one anyways , hope this helps :)
Answer:
Step-by-step explanation:
a v = 5x+ 2y = 5*3 + 2*-4 = 7
b 3p(p+5) = 3p^2 =15p
c 4k = 44
k=44/4 =11
i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...
need to the answer ASAP
Answer:
321
Step-by-step explanation:
Find the slope of the line graphed. A)1/2 B)1 C)2 D)4
Answer:
Slope is 2. Y-intercept is -2
Step-by-step explanation:
To find slope look how many it goes up and right. So 2 up and 1 right will give a slope of 2. The y-intercept is -2 because it touches the y-axis.
Answer:
2
Step-by-step explanation:
To find this you would just look at two points that the line will cross. The 2 pairs or coordinates that are the most obvious to me are (0,-2) and (1,0) so then we would do an equation that is [tex]y_{2}[/tex] (which is the second y in this case 0) minus [tex]y_{1}[/tex](First y in this case -2) over or / [tex]x_{2}[/tex](second x in this case 1) minus [tex]x_{1}[/tex](first x in this case 0) so when we plug in into the equation is is [tex]\frac{0-(-2)}{1-0}[/tex] which will be simplified to [tex]\frac{2}{1}[/tex] so the slope would be 2.
Another simpler way to solve this is to is just to count the distance between the 2 slopes so we would go up 2 to get to 0 and over 1 which would be [tex]\frac{2}{1}[/tex] or 2.
PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION
I attached a picture to this
can someone help please? i’ll give brainliest
Answer:
Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.
Step-by-step explanation:
Let's define toppings as [tex]t[/tex].
If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.
[tex]9.25 + 0.75t[/tex]
If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).
9.25+0.75t ≤ 13.75
Now lets solve the equation.
We can subtract 9.25 from both sides, which gets us
0.75t ≤ 4.5
Now we can divide both sides by 0.75 to isolate t.
t ≤ 6
So, the maximum number of toppings you can order is 6.
Hope this helped!
Answer:
6
Step-by-step explanation:
so default for pizza is 9.25
and toppings vary depending on number so 0.75x
so I guess 9.25+0.75x<=13.75-variable
equation-9.25+0.75x=13.75
solve to get 0.75x=4.5
x is 6 not sure
An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160
Answer:
plan A
Step-by-step explanation:
Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answer:
there are 25 nickels and 30 dimes
Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza
Statement #1:
Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:
18 × 12 = 216
-----------------------------------------------------------------------------------------------------------------
60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.
Statement #2
There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.
-----------------------------------------------------------------------------------------------------------------
40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.
Statement #3
To get the total amount of pizzas you simply add both of the previous solutions:
216 + 120 = 336
-----------------------------------------------------------------------------------------------
Altogether, there is a total of 336 slices of pizza.
Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$
Answer:
√58 or 7.62
Step-by-step explanation:
x-intercept = (7, 0)
y-intercept = (0, -3)
distance = √(-3 - 0)² + (0 - 7)² = √58 or 7.62