If A(0, 0), B(3, 3), C(9, 3), and D(6, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your answer.
A. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals 1, and AB = DC = square root of 18.
B. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals −1, and AD = CD = 3 units.
C. Yes, it is a parallelogram because the midpoint of the diagonals of segment AC and segment BD is (4.4, 1.5).
D. No, it is not a parallelogram because the slope of segment AB = 1 and the slope of segment DC = −1.
Answers
it's a parallelogram but I'm not completely sure about the answer
I think that C is the correct answer
the picture can help you to find the answer.
hope this helps
Related Questions
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Tuesday? NEED ANSWER ASAP!
Answers
p=(12+16)/8
p=$3.50/lb
hopefully this is correct
It is given that on Tuesday, apples were on sale for 20% off. Now, we know that on Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. This means that if we have a 20% off on Tuesday then this must be with respect to the price on Monday which is $4. Thus the price of Tuesday can be calculated as:
[tex] 4-\frac{20}{100}\times 4=4-0.8=3.2 [/tex]
Thus, the per pound price of apples on Tuesday was $3.2
helppppppppppppppppppppp
Answers
1/4
Explanation:
Assume that:
log base 625 of 5 = y
We will rewrite this in exponent form as follows:
log base (b) of x = y is equivalent to b^y = x
For the given, the exponent will be:
625^y = 5
Now, we know that 5^4 = 625
Therefore, to convert 625 to 5, we will take 4th root.
This means that:
625^y = 5
y = 1/4
Hope this helps :)
Answer:
1/4
Step-by-step explanation:
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3
Answers
The correct combining of like term is
f(m, n) = [tex]n^{6}[/tex] + 7m[tex]n^{5}[/tex] + 14m²[tex]n^{4}[/tex] - 5m³n³ -6[tex]m^{6}[/tex] - 2[tex]m^{6}[/tex]
What is polynomial equation?A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Given:
8m[tex]n^{5}[/tex] - 2[tex]m^{6}[/tex] +5m²[tex]n^{4}[/tex] - m³n³ + [tex]n^{6}[/tex] - 4[tex]m^{6}[/tex] + 9m²[tex]n^{4}[/tex] - m[tex]n^{5}[/tex] - 4m³n³
Now, Combining the like terms
(8m[tex]n^{5}[/tex] - m[tex]n^{5}[/tex]) + 5m²[tex]n^{4}[/tex] + 9m²[tex]n^{4}[/tex] - m³n³ - 4m³n³ + [tex]n^{6}[/tex] - 4[tex]m^{6}[/tex] - 2[tex]m^{6}[/tex]
=7m[tex]n^{5}[/tex] + 14m²[tex]n^{4}[/tex] - 5m³n³ - 6 [tex]m^{6}[/tex] + [tex]n^{6}[/tex]
now, arranging according to their powers
[tex]n^{6}[/tex] + 7m[tex]n^{5}[/tex] + 14m²[tex]n^{4}[/tex] - 5m³n³ -6[tex]m^{6}[/tex] - 2[tex]m^{6}[/tex]
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Which diagram could be used to prove △ABC ~ △DEC using similarity transformations?
(from top to bottom, first pictures top option is A for example)
A.
B.
C.
D.
Answers
To prove similarity, the triangles must have three angles or any three components must be equal. According to the statement, option A seems to be proof the triangles are similar to each other.
There are two images given in the question.
Let us segregate the images into image 1 and image 2.
Take image 1.
In image 1, three different triangles are given,
One angle is equal in all the triangles, which is represented as a single arc.Another angle is represented as a double arc is equal.If two angles are equal in triangles then the third angle is automatic get equal.According to the above bullet points, image 1 qualifies all the requirements for the similarity of the triangles.
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What is the value of this expression when z = 36?
10 - /z
4
6
-8
-26
Answers
The provided expression with 'z = 36' is incomplete and lacks an operation or additional numbers, making it impossible to calculate its value. The student is advised to provide the full expression for proper assistance.
Explanation:The student asked: What is the value of this expression when z = 36?
Unfortunately, there is a typographical error in the expression provided. It seems to be missing an operation or additional numbers. Given the format '/z', it seems like it should have been a mathematical operation involving the variable 'z'. However, without an operator such as '+' (plus), '-' (minus), '*' (multiply), or '/' (divide), we cannot determine what the expression is supposed to be or calculate its value given z = 36.
If this is an expression from a specific textbook or sheet, I recommend double-checking the source material for the correct expression. If it's a part of a larger problem or context, please provide the full details so that an accurate computation can be made.
how do you solve "z+ma=ba" solve for a
Answers
Z = Ma = ba
You made a typo. One of those = signs should either
be a + and a -. Here are all possibilities:
1. Z+Ma = ba, solve for a
Ma-Ba = -Z
a(M-B) = -Z
a = -Z/(M-B)
2. Z = Ma+ba, solve for a
Ma+ba = Z
a(M+b) = Z
a = Z/(M+b)
3. Z-Ma = ba, solve for a
Z = Ma+ba
Ma+ba = Z
a(M+b) = Z
a = Z/(M+b)
4. Z = Ma-ba, solve for a
Ma-ba = Z
a(M-b) = Z
a = Z/(M-b)
Hope it helps.
Final answer:
To solve the equation for a, subtract z from both sides, factor out a, and then divide by (m - b), resulting in a = -z / (m - b), assuming m and b are not equal.
Explanation:
To solve the equation z + ma = ba for a, we need to isolate a on one side of the equation. We can rewrite the equation, moving all terms involving a to one side and all other terms to the opposite side. This process is called collecting like terms.
Here are the steps to isolate a:
Subtract z from both sides of the equation to get ma = ba - z.
Since both terms on the right hand side involve a, factor a out: a ( m - b ) = -z.
Finally, divide both sides of the equation by (m - b) to solve for a: a = -z / (m - b), assuming that m ≠ b.
This algebraic manipulation gives us the value of a in terms of z, m, and b.
if the xy-plane, the graph of y=x^2 and the circle with center (0,1) and radious 3 have how many points of intersection?
A. none
b. one
c, two
d. three
e. more than three
Answers
Factor completely. a2+3a−28 Enter your answer in the box.
Answers
Solution :
To factor completely
[tex] a^{2} + 3a-28 [/tex]
To factor it completely , first take the product of first and third term, and then break the second term in two parts in such a way that its sum equals the second term and the product equals the product of first and third term.
Product of first and third term is [tex] (a^{2})(-28) = -28 a^{2} [/tex]
Second term is 3a, Re-write 3a as sum of 7a and -4a.
Lets check it Product of 7a and -4a is [tex] -28 a^{2} [/tex] wich is eaqual to product of first and third term and sum of 7a and -4a is 3a which is the second term.
Now factorise, we get
[tex] a^{2}+3a-28\\\\ = a^{2} +7a-4a-28\\\\=a(a+7)-4(a+7)\\\\=(a+7)(a-4) [/tex]
Hence, [tex] (a+7)(a-4) [/tex] is the factor of [tex] a^{2}+3a-28 [/tex].
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Answers
[Volume of a cone]=pi*r²*h/3
and
[Volume of a half-sphere]=(4/6)*pi*r³
then
h=14 in
r=9 in
[Volume of a cone]=pi*r²*h/3-------------> pi*9²*14/3------------> 1186.92 in³
[Volume of a half-sphere]=(4/6)*pi*r³--------->(4/6)*pi*9³------> 1526.04 in³
the volume of the prop=1186.92+1526.04--------> 2712.96 -----------> 2713 in³
the answer is 2713 in³
I have the same problem but with 14 being 15 in and 9 being 7 in, can someone help?
What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0
Answers
Answer:
The slope intercept form of the required line is [tex]y=\frac{-3}{2}x[/tex].
Step-by-step explanation:
If a line is defined as
[tex]Ax+By+C=0[/tex] ... (1)
Then the slope of the line is
[tex]m=\frac{-A}{B}[/tex]
The given equation is
[tex]3x+2y-6=0[/tex] .... (2)
From (1) and (2), we get
[tex]A=3, B=2, C=-6[/tex]
The slope of the line is
[tex]m=\frac{-3}{2}[/tex]
The slope of parallel line is same. So, the slope of required line is -3/2.
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The slope of required line is -3/2 and y-intercept is at (0,0).
[tex]y=\frac{-3}{2}x+0[/tex]
[tex]y=\frac{-3}{2}x[/tex]
Therefore the slope intercept form of the required line is [tex]y=\frac{-3}{2}x[/tex].
Please help me out :)
Answers
The diagonal length will be 7 x 2 = 14yd
Area of one triangle = 1/2 x 14 x 7 = 49 yd²
Area of the polygon = 2 x triangles
Area of the polygon = 2 x 49
Area of the polygon = 98 yd²
Answer: The regular polygon is 98 yd²
The asymptote of the function f(x) = 3x + 1 – 2 is_________ . Its y-intercept is_____ .
Options for the first blank is
y= -2
y= -1
y= 1
y= 2
Options for the second is
(0,-2)
(0,-3)
(0,1)
(0,-1)
Answers
Answer:
In first blank : y = - 2,
In second blank : ( 0, 1 )
Step-by-step explanation:
Given function is,
[tex]f(x)=3^{x+1}-2[/tex]
The horizontal asymptote of the function f(x),
[tex]y=lim_{x\rightarrow \infty} f(x)[/tex]
[tex]y=lim_{x\rightarrow \infty} 3^{x+1}-2[/tex]
[tex]y=3^{\infty+1}-2[/tex]
[tex]y=3^\infty - 2[/tex]
[tex]y=0-2[/tex]
⇒ y = -2
First option is correct.
Also, the function has no vertical asymptote,
2. For finding the y-intercept, x = 0,
[tex]f(0)=3^{0+1}-2=3-2=1[/tex]
Hence, the y-intercept = (0,1)
Third option is correct.
Final answer:
The function f(x) = 3x + 1 – 2 is a linear function and does not have an asymptote, contrary to the options provided. The y-intercept is found by setting x to 0, which results in the point (0, – 1).
Explanation:
The function in question is f(x) = 3x + 1 – 2. To determine its asymptote and y-intercept, we analyze its structure.
Since this is a linear function and not a rational function, it does not have an asymptote like those found with rational functions, whose denominators can become zero. Instead, the original function is a modification of the function f(x) = 3x, with vertical shifts up by 1 and down by 2, effectively canceling each other out. Therefore, the asymptote is essentially the x-axis, which can be represented by the equation y = 0. However, since none of the provided options include y = 0, and the function we are analyzing is, in fact, linear without any asymptotes, there must be an error in the question regarding this part.
To find the y-intercept, we set x equal to 0 and solve for f(0):
f(0) = 3(0) + 1 – 2 = 1 – 2 = – 1.
Therefore, the y-intercept of the function is the point (0, – 1).
Solve by factoring write the steps.
x2−7x+10=0
Please help show me all the steps and the answers
Answers
Step 1: Factor left side of equation.
(x−2)(x−5)=0
Step 2: Set factors equal to 0.
x−2=0 or x−5=0
x=2 or x=5
Answer: x=2 or x=5
The middle term should be factored in such a way that the sum of two numbers is -7x and their product is 10x2. These two factors are -5x and -2x. So re-writing the equation, we get:
[tex] x^{2} - 5x - 2x +10 = 0[/tex]
Taking common, we get:
[tex]x( x - 5) -2 (x-5)=0 \\ \\ (x-5)(x-2)=0[/tex]
This means:
x - 5 = 0
⇒ x = 5
or
x - 2 = 0
⇒ x = 2
Therefore, the solution to the given equation are x = 2 and x = 5
MATH HELP PLEASE LOOK AT THE PICTURES BELOW!!!
5 QUESTIONS
Answers
The equation is in form y=mx+b
m is the slope and b is the y-intercept
Slope: -6 and y-intercept: 2
2)
The equation is in form y=mx+b
m is the slope and b is the y-intercept
Slope: 1 and y intercept: -3
3)
C = 14d + 3
4)
8x + 6y = 12
6y = -8x + 12
y = -4/3 + 2
5)
First change the equation to y=mx+b form.
4x + 6y = 12
6y = -4x + 12
y = -2/3x + 2
Slope: -2/3
Hope that helps :)
according to the tree diagram below what is the probability that someone buys a book that is paperback and fiction
Answers
see the attached figure to better understand the problem
we know that
[tex]0.65\ (65\%)[/tex] of the buyers buy paperback and [tex]0.45\ (45\%)[/tex] of them buy fiction.
Hence
The probability that they buy both fiction and paperback is equal to
[tex]0.65*0.45=0.2925[/tex]
the answer is
[tex]0.2925[/tex]
What is the equation, in slope-intercept form, of the line that is perpendicular to the line Y-4=-2/3(X-6) and passes through the point (-2,-2)
Answers
[tex]\sf y-y_1=m(x-x_1)[/tex]
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
[tex]\sf -\dfrac{2}{3}[/tex]
Reciprocal:
[tex]\sf -\dfrac{3}{2}[/tex]
Multiply by -1:
[tex]\sf\dfrac{3}{2}[/tex]
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf y-(-2)=\dfrac{3}{2}(x-(-2))[/tex]
Negatives cancel out:
[tex]\sf y+2=\dfrac{3}{2}(x+2)[/tex]
Distribute 3/2 into the parenthesis:
[tex]\sf y+2=\dfrac{3}{2}x+\dfrac{6}{2}[/tex]
Simplify the fraction:
[tex]\sf y+2=\dfrac{3}{2}x+3[/tex]
Subtract 2 to both sides:
[tex]\boxed{\sf y=\dfrac{3}{2}x+1}[/tex]
Answer:
d
Step-by-step explanation:
A regular n-gon has an interior angle and an exterior angle with equal measures. What is the value of n?
Answers
Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work in your final answer.
I understand the answer is x + y = 0
I want to understand how that is determined. Using point slope form and all that.,
Answers
a=1
b=1
slope= -a/b=-1
y=mx+b
y=-x+b
b=0
x+y=0
1.One of the lamp posts at a bank has a motion detector on it, and the equation (x+15)2+(y−12)2=25 describes the boundary within which motion can be sensed.
What is the greatest distance, in feet, a person could be from the lamp and be detected?
5 ft
10 ft
50 ft
125 ft
Answers
Answer:
5ft
Step-by-step explanation:
The required greatest distance, in feet, a person could be from the lamp and be detected is 5 ft. Option A is correct.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Given equation
(x+15)²+(y−12)²=25
The above equation is the equation of the circle, so the longest distance that person could be from the lamp and be detected is the radius of the circle,
Which is given as,
r² = 25
r = √25
r = 5
Thus, the required greatest distance, in feet, a person could be from the lamp and be detected is 5 ft. Option A is correct.
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K - 263.48 = 381.09 solve this equation
Answers
we add 263.48 on both sides
k=644.57
How to tell whether a slope is positive negative zero or undefined?
Answers
or if u wanna tell by looking at the straight line graph, then if it makes an acute angle with the x-axis it's positive, if it makes an obtuse angle with x-axis its negative.
the slope is zero when the graph is horizontal
then slope is undefined when eh graph is vertical.
hope this helps
Please help me on that question for my Algebra. I don't understand it.
Also, how would you rate my pfp?
Answers
3.60 - 3.25 = 0.35
0.35 = 0.25 +0.10
he has 1 dime and 14 quarters
Answer is B
1 dime is .10
3.50 + .10 = 3.60
B. 1 Is your answer.
Your pfp looks amazing btw.
16. For quadrilateral ABCD, determine the most precise name for it. A (-2, 3), B (9, 3), C (5, 6) and D (2, 6). Show your work and explain.
Answers
Answer:
Trapzoid
Step-by-step explanation:
Given: A (-2, 3), B (9, 3), C (5, 6) and D (2, 6)
We will find the slope of each line.
Formula:
[tex]\text{Slope, m}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope of AB, m}_1=\dfrac{3-3}{9+2}=0[/tex]
[tex]\text{Slope of BC, m}_2=\dfrac{6-3}{5-9}=-\dfrac{3}{4}[/tex]
[tex]\text{Slope of CD, m}_3=\dfrac{6-6}{2-5}=0[/tex]
[tex]\text{Slope of AD, m}_4=\dfrac{6-3}{2+2}=\dfrac{3}{4}[/tex]
Slope of AB = Slope of CD = 0
[tex]m_1=m_3=0[/tex]
Thus, AB is parallel to CD
Slope of BC ≠ Slope of AD
[tex]m_2\neq m_4[/tex]
Thus, BC is not parallel to AD
The quadrilateral ABCD has two sides are parallel and two are not parallel.
Hence, The quadrilateral is trapzoid
Simplify the expression below. (xy)^8
Answers
x^8 y^8
let me know if you have any other questions
:)
Find the perimeter of the rectangle.
If the rectangle has vertices M(−2,4), N(1,5), O(3,−1), and P(0,−2), what is the perimeter of the rectangle?
Round each side length to the nearest tenth, if necessary.
Answers
If a circle has an diameter of 14, what would the area be?
Use 3.14 for π
Answers
A = 3.14 x 7^2
A = 3.14 x 49
A = 153.86
answer
153.86
In a game played with a standard deck of cards, each face card has a value of 10 points, each ace has a value of 1 point, and each number card has a value equal to its number. two cards are drawn at random. it at least one card is an ace, what is the probability that the sum of the cards is 7 or less?
Answers
First, we start by selecting an ace because the question says one card is an ace. Therefore, our final probability is out of 51.
Our goal is to have 7 or less. That means we can draw a 2, 3, 4, 5, or 6. Since, there are 4 of each type, we have 4 x 5 = 20 different possibilities.
The population density of ground crickets at oldmill farm is about 15 per square meter. assuming that the crickets are randomly distributed, about how many crickets would you expect to find in a rectangular section of land that is 6 meters × 2 meters?
Answers
Find the probability that when a couple has four four children, at least one of them is a girl girl. (assume that boys and girls are equally likely.)
Answers
Cassandra lives in Oklahoma and makes $60,000 a year. If the median annual income in Oklahoma is $64,105 and the median annual income in the United States as a whole is $50,233, is Cassandra likely to qualify for Chapter 7 bankruptcy?
Answers
Yes, Cassandra is likely to qualify, since her yearly income is below the median annual income of Oklahoma.
Answer:
Cassandra is likely to qualify for Chapter 7 bankruptcy.
Step-by-step explanation:
Given scenario is : Cassandra lives in Oklahoma and makes $60,000 a year. The median annual income in Oklahoma is $64,105.
A person qualifies for chapter 7 bankruptcy, if his annual median income is below the median income of his state. So, here the annual median income of Cassandra is below the median income of her state, Oklahoma.
So, she will qualify for chapter 7 bankruptcy.