A parallelogram has vertices E(−8, 3), F(2, −2), G(−1, 3), and H(−5, −2). What are the coordinates of the midpoint of each diagonal?
(3, −0.5)
(−4.5, 3)
(−3, 0.5)
(0.5, −1.5)
Answers
Then, join the points to find the parallelogram sought.
We observe that the half point of both diagonals is the same.
Therefore, it is enough to calculate the half point of only one of the diagonals.
The half point is calculated according to the expression:
(((x1 + x2) / 2), ((y1 + y2) / 2))
Substituting values of one of the diagonals:
(((-1-5) / 2), ((3-2) / 2))
(-3, 0.5)
Answer:
(-3, 0.5)
Related Questions
Cora arrived at school at 7:55 am She left for 1 hour for a doctors appointment. She was dismissed from school at 3:15 pm. How long was Cora at school?
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How much is in the account after year 6 ??
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its actually 1155 but that the closest answer to it
hope it helps
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
Answer:
C
Step-by-step explanation:
The very first term would result in 2 having an exponent in 0 making the equation -3 * 1 which is just -3 and C is the only option.
To further prove this -3 * 2^3 is -24. n is the term that you are looking for. So finding the fourth term would mean you would take 4-1 which is 3 thus making the exponent 3.
Please help, what effect does doubling the radius of a cone's base have on the cone's volume? Thank you! :),
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Which sequence of transformations creates a similar, but not congruent, triangle? ((will medal for correct answer))
Dilation and rotation
Rotation and translation
Reflection and rotation
Translation and reflection,
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Miguel had 63 lemons to make lemonade at his stand. He used some lemons to make lemonade. Now he has 25 lemons. How many lemons did Miguel use?
Miguel used ___lemons to make lemonade.
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Miguel used 38 lemons.
Hope this helped!
Answer: He used 38 lemonsssssssssssss
Step-by-step explanation:
Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the right
A. F(x) = -|x|+1
B. F(x) = -|x-1|
C. F(x) =|-x|+1
D. F(x) =|-x-1|
Answers
Answer:
B.[tex]F(x)=-\mid{x-1}\mid[/tex]
Step-by-step explanation:
We are given that a function
[tex]f(x)=\mid x\mid[/tex]
We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.
The transformation rule when the point (x,y) is reflected over x- axis is given by
[tex](x,y)\rightarrow (x,-y)[/tex]
Apply the reflection on function over x- axis then, we get
[tex]g(x)=-\mid x\mid[/tex]
Transformation rule when the point (x,y) is shifted a units towards right is given by
[tex](x,y)\rightarrow (x-a,y)[/tex]
When the graph is translated 1 units towards right then , obtained function is given by
[tex]F(x)=-\mid{x-1}\mid[/tex]
The graphs below have the same shape. What is the equation of the blue
Answers
see the attache figure
the answer is the option B
g(x)=(x-5)²
Answer: The correct option is B.
Explanation:
From the given figure it is noticed that the parent function is,
[tex]f(x)=x^2[/tex]
The graph of f(x) shifts 5 units right.
The transformation is defined as,
[tex]g(x)=f(x+a)+b[/tex]
Where, a shows the horizontal shifts and b shows the vertical shift.
If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.
If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.
Since the graph of parent function is shifts only right side by 5 units, therefore
[tex]g(x)=f(x-5)+0[/tex]
Since [tex]f(x)=x^2[/tex]
[tex]g(x)=(x+5)^2[/tex]
Thus, the correct option is B.
The function in option A represents the left shift of f(x) by 5 units. The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.
The sin 215° is ____
●A positive value
●0
●A negative value
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●A positive value
The sin 215 degrees is a positive value. (Soh Cah Toa - Sin Cos Tan)
Answer: A positive value
believe; live
It has 3 more vertices than a triangle
Answers
A vertice is simple a corner of a shape. A triangle has 3 corners, so it has three vertices. A hexagon has 6 corners, so it had 6 vertices!
Help? Will mark Brainliest! TYSM!
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#2, 4, and 6 cancel out because they are not included with the bisect
Hope this helped!
helppppppppppppppppppp
Answers
g(x)=(3^x)-2
f(x)=(3^x)
using a graph tool
see the attached figure
the answer is the option D
the graphic of G(x) is a translation of f(x) 2 units down
A street promotion worker gets paid $0.10 for each flyer he hands out. His goal is to make $15 an hour. How many flyers must he hand out each hour?
A. 45
B. 1500
C. 150
D. 15
Answers
The street promotion worker must hand out 150 flyers each hour to make $15.
Explanation:To determine how many flyers the street promotion worker must hand out each hour to make $15, we need to use the equation:
Number of flyers × Payment per flyer = Total payment
Since the worker wants to make $15 an hour, the equation becomes:
Number of flyers × $0.10 = $15
To solve for the number of flyers, we divide both sides of the equation by $0.10:
Number of flyers = $15 ÷ $0.10
Number of flyers = 150
Therefore, the street promotion worker must hand out 150 flyers each hour to make $15.
Learn more about Calculating Number of Flyers here:https://brainly.com/question/19910027
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At the end of the first round in a quiz show, Jeremy has at most negative 20 points. Write an inequality that means “at most negative 20.”
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A rectangular deck
is 12 ft by 14 ft. When the length and width are increased by the same amount very becomes 280 squares ft. By how much were the dimensions increased ?
Answers
The other response seems more complex so probably ignore mine. I probably misinterpreted the question.
Original width: 12 ft. New width x + 12.
New area:
[tex] A = LW [/tex] or [tex] LW = A [/tex]
[tex] (x + 14)(x + 12) = 280 [/tex]
[tex] x^2 + 14x + 12x + 168 = 280 [/tex]
[tex] x^2 + 26x - 112 = 0 [/tex]
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-26 \pm \sqrt{26^2 - 4(1)(-112)}}{2(1)} [/tex]
[tex] x = \dfrac{-26 \pm \sqrt{676 + 448}}{2} [/tex]
[tex] x = \dfrac{-26 \pm \sqrt{1124}}{2} [/tex]
[tex] x = \dfrac{-26 \pm 2\sqrt{281}}{2} [/tex]
[tex] x = -13 \pm \sqrt{281} [/tex]
[tex] x \approx -29.76 [/tex] or [tex] x \approx 3.76 [/tex]
We discard the negative answer.
Answer:
Exact:
[tex] (-13 + \sqrt{281})~ ft [/tex]
Approximate:
[tex] 3.76 ~ft [/tex]
20 POINTS! What is the distance between the points (2, 3) and (5, -4)?
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The distance, d, between points [tex] (x_1, y_1) [/tex]
and [tex] (x_2, y_2) [/tex] is given by the distance formula below.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Now we can apply the formula to your points.
Let Point 1 be (2, 3) and Point 2 be (5, -4).
Then you have
[tex] x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4 [/tex]
[tex] d = \sqrt{(5 - 2)^2 + (-4 - 3)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (-7)^2} [/tex]
[tex] d = \sqrt{9 + 49} [/tex]
[tex] d = \sqrt{58} [/tex]
Answer: the distance is sqrt(58)
If f(x) = 1 + 5x, and g(x) = x3, find (f∘g)(x)
A.
1 + 5x3
B.
1 – 3x3
C.
1 + 8x
D.
5x3
Answers
Selection A is appropriate.
viola makes gift baskets for valentine's day.she has 13 basket left over from last year, and she plans to make 12 more each day. if there are 15 work days unitl the day she begins to sell the baskets, how many baskets will she have to sell?
193 baskets
156 baskets
205 baskets
181 baskets
Answers
12x15=180
180+13=193
Hope this helps!;)
Wendy enjoys listening to hip hop and downloads music regularly from the internet. She already has four hours of hip hop in her collection. From the second month onward, the number of hours of hip hop music she downloads each month is nine percent greater than the number of hours of hip hop music she had downloaded the previous month. Which function best shows the total number of hours of hip hop music Wendy has in her collection f(x) after x months? f(x) = (1.09)x + 3 f(x) = 3(1.09)x f(x) = (1.09)x + 2 f(x) = (1.09)x - 2
Answers
First term [tex]u_1=4[/tex] also, [tex]u_{n+1}=u_n+0.09u_n=1.09u_n[/tex].
Let x be the number of months, then the total number of hours can be computed like this:
[tex]f(x)=4\dfrac{1-1.09^x}{1-1.09}\\=44.4(1-1.09^x)[/tex]
Rectangle M was dilated to form rectangle M’. What ratio is the scale factor?
1/2
2/3
4/3
3/2
Answers
Solution:
we are given that
Rectangle M was dilated to form rectangle M’.
we have been asked to find
What ratio is the scale factor?
we can find the required ratio by dividing the corresponding sides of the given rectangles as below:
[tex] Ratio=\frac{6}{4}=\frac{2}{4/3}\\
\\
[/tex]
[tex] Ratio=\frac{3}{2}=\frac{6}{4} \\
\\
\
Ratio=\frac{3}{2}=\frac{3}{2}\\ [/tex]
Hence the required ratio is 3/2.
Answer:(d or 3/2
Step-by-step explanation: I took the test
Please help! 15 points!
Btw, you cannot answer in the file.....that's just a pic.....
Answers
cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x
36.083 = x
Hope I am right :)
Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 96 inches wide, and the length from the top point of the tent to the corners of the base is 102 inches.
Answers
102^2 = 10404
48^2 = 2304
10404 - 2304 = 8100
squareroot(8100) = 90
the pole needs to be 90 inches high
You need to have a password with 4 letters followed by 2 even digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?
Answers
The total number of possible passwords, considering the conditions that no letters or digits can be reused, and only even digits 0-9 can be used, would be 7,893,600.
Explanation:This is a question of combinations and permutations. Firstly, consider the four letters. There are 26 letters in the English alphabet. Since you have four letters and none of them can be the same, the number of possibilities is 26 * 25 * 24 * 23. Next, consider the two numbers. Since we can only choose even numbers between 0 and 9 (which gives us 5 possible selections), and they cannot be the same, the number of possibilities is 5 * 4. Therefore, to find the total number of possible passwords, you multiply the possibilities for letters and numbers together. So, the number of
possible passwords would be 26 * 25 * 24 * 23 * 5 * 4, which equals to 7,893,600.
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Let f(x)=25x2−2 .
The function g(x) is a vertical stretch of f(x) by a factor of 2.
What is the equation of g(x)?
Enter your answer in the box.
g(x) =
Answers
We are given function f(x) = 25x^2 -2.
g(x) is a vertical stretch of f(x) by a factor of 2.
We know, the transformation rule
y= k f(x), vertical stretch by a factor k. For k>0.
Because function f(x) is being vertical stretched by a factor of 2. So, we need to multiply f(x) function by 2.
Therefore, g(x) = 2 f(x) = 2*(25x^2-2).
Therefore, g(x) = 2*(25x^2-2) or g(x) = 50x^2-4.
Answer:
The Given function is
f(x)= 25 x² -2
Now, a function g(x) is obtained when the function f(x) is stretched by a factor of 2.
Consider point (x,y) on f(x).When function is stretched vertically by a factor of 2 ,it means, the coordinate changes from (x,y) to (x,2 y).
Since we have to stretch the function as whole, we will multiply original function by 2.
So, g(x)= 2× [25 x² - 2] =50 x² -4
g(x)=50 x²- 4
In 1992, only 275 people owned cellphones in Metropolis. Each year, cell phone use has continuously grown by 82%. How many cellphone users were there in 2000?
Answers
y = A (b) ^ t
Where,
y: number of people with cell phones
A: initial number of people with cell phones
b: growth rate
t: time
Substituting values:
y = 275 * (1.82) ^ t
For the year 2000 we have t = 8.
Substituting:
y = 275 * (1.82) ^ 8
y = 33105.77794
nearest whole integer:
y = 33105
Answer:
there were 33105 cellphone users in 2000
Ramon spends 2/5 of his monthly income on rent ,1/5 of his income on utilities and 3/4 of the amount remaining on food and recreation.He saves 193.50 a month,What is Ramon’s monthly income?
Answers
Then:
Rent: [tex] \frac{2}{5} x[/tex]
Utilities: [tex] \frac{1}{5} x[/tex]
Food and Recreation: [tex] \frac{3}{4}(x-( \frac{2}{5} x+\frac{1}{5} x))= \frac{3}{10} x[/tex]
Now adding all the expenses: [tex] \frac{2}{5} x+ \frac{1}{5} x+ \frac{3}{10} x= \frac{9}{10} x[/tex]
We see that the expenses are 90% of the income, so the savings must be 10% of the income.
[tex] \frac{1}{10} x=193.5[/tex]
x=1935.0 this is your income
Hope this helps...
Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
Answers
This can be found by first calculating what the total cost of the items was originally. Since you spent $31.50 on items at 34% of their original price, the total cost can be found by dividing the new total by the percentage.
$31.50/.34 = $92.65.
Now we need to find the original price of the blouse. We repeat the same action with the $18 and the percentage.
$18/.34 = $52.94.
Now we can subtract the original cost of the blouse from the original cost of both items.
$92.65-$52.94 = $31.71.
Answer:
The original price of the skirt is $24
Step-by-step explanation:
The question must be 3/4 of their original price. So, I will solve this using 3/4 as 34 is unclear and does not suit the question.
Lets assume that the price of the blouse be = x
Lets say the price of the skirt is = y
Now, given is that 3/4 of the price together for both items is $31.5 0
This means,
[tex]\frac{3}{4}(x+y)=31.50[/tex] ..... (1)
The original price of the blouse is $18 so, x= 18 .............(2)
Putting x=18 in equation (1)
[tex]\frac{3}{4}(18+y)=31.50[/tex]
[tex]3(18+y)=31.50*4[/tex]
[tex]3y+54=126[/tex]
[tex]3y=72[/tex]
y=24
Hence, the original price of the skirt is = $24.
Check:
Original price of both items = [tex]18+24=42[/tex]
And 3/4 of 42 is [tex]\frac{3}{4}*42= 31.50[/tex]
So, the correct answer is $24.
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may use words and/or an equation.
(b) Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Answers
or RT*ST=TU^2
(b) 9*4= TU2
36=TU^2
[tex] \sqrt{36}[/tex]
6=TU^2
Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".
Part A
The definition of the Intersecting Secant-Tangent Theorem is:
"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."
This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".
Mathematically, it can be written as:
[tex] RT\times ST=(TU)^2 [/tex]
Part B
It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:
[tex] RT\times ST=(TU)^2 [/tex]
Thus, [tex] (TU)^2=9\times 4=36 [/tex]
[tex] \therefore TU=\sqrt{36}=6 [/tex]
Thus the length of TU=6 inches
prove that an isosceles trapezium is always cyclic
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Hope this helps !
Photon
Consider the two triangles shown.
Answers
given sides and angles can be used to show similarity by both SSS and SAS similarity theorems