[Geometry Basics] I'm just checking if this is correct:

~ Endpoint: (-9, -1), midpoint: (8,14)

Answer I got: (25, 31)


~ Endpoint: (10,12), midpoint: (6,9): (2,6)


I will give you brainiest if it's correct :) And 20 pts.

Answers

Answer 1
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ x &,& y~) % (c,d) &&(~ -9 &,& -1~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-9+x}{2}~~,~~\cfrac{-1+y}{2} \right)=\stackrel{midpoint}{(8,14)}\implies \begin{cases} \cfrac{-9+x}{2}=8\\\\ -9+x=16\\ \boxed{x=25}\\ -------\\ \cfrac{-1+y}{2} =14\\\\ -1+y=28\\ \boxed{y=29} \end{cases}[/tex]

[tex]\bf -------------------------------\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ x &,& y~) % (c,d) &&(~10 &,& 12~) \end{array}\qquad \\\\\\ \left( \cfrac{10+x}{2}~~,~~\cfrac{12+y}{2} \right)=\stackrel{midpoint}{(6,9)}\implies \begin{cases} \cfrac{10+x}{2}=6\\\\ 10+x=12\\ \boxed{x=2}\\ -------\\ \cfrac{12+y}{2} =9\\\\ 12+y=18\\ \boxed{y=6} \end{cases}[/tex]

Related Questions

What is the measure of BAC

50
80
100
130

Answers

80 because 50 + 50 = 100 & 180 - 100 equals 80
isosceles triangle

so <BAC = 180 - 2(50) = 180 - 100 = 80
answer
80

A fair number cube with sides labeled from 1 to 6 is rolled 20 times. the results of the simulation are shown in a dot plot. which dot plot models an unfair data-generating process?

Answers

1:4 ,2:4 ,3:0, 4:4, 5:4,6:4 so basically the one with no dots or hasn't been rolled

The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

What is dot plot?

A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.

We have:

A fair number cube with sides labeled from 1 to 6 is rolled 20 times.

Total number on, a fair number of cubes = 6

So the dot plot can be shown as:

1:4, 2:4, 3:0, 4:4, 5:4,6:4

There is a face with 3 has not rolled.

Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

Learn more about the dot plot here:

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Find the x-intercepts for the parabola defined by the equation below. y=2x^2-6x+4

Answers

X intercepts = (2,0), (1,0)
y intercepts = (0,4)

And if you need to solve for X

[tex] \frac{3± \sqrt{1+2y}}{2} [/tex]

Hope I helped you~ ^.^

Two large numbers of the Fibonacci sequence are F61 = 2,504,730,781,961 and F62 = 4,052,739,537,881. If these two numbers are added together, what number results?

A. F123
B. F60
C. F63
D. F64 - 1

Answers

I'm pretty sure it C. F63 

Amanda owns a clothing store that sells graphic t-shirts. n is the number of shirts she sells each month. the revenue function of her store is r = 25n. the cost function of her store is c = 10n + 900. using your calculator, what is the break-even point of amanda's store?

Answers

The break-even point will be attained when the revenue is equal to the cost. That is 
     [tex]25n=10n+900[/tex]
     [tex]25n-10n=900[/tex]
     [tex]15n=900[/tex]
     [tex]n=60[/tex]

The break-even point is attained when n equals 60.   

Answer:

n = 60 shirts

Step-by-step explanation:

The break-even point is the point where revenue is equal to cost.  This means we take the equation for revenue, r = 25n, and set it equal to the equation for cost, c = 10n + 900:

25n = 10n + 900

Subtract 10n from each side:

25n - 10n = 10n + 900 - 10n

15n = 900

Divide both sides by 15:

15n/15 = 900/15

n = 60

WILL GIVE BRAINLIEST!!!! PLZ HELPPP!!!Which equation is the BEST fit for the data in the graph?
A) y = (1/4)x
B) y = (-1/4)x
C) y = (1/4)x-1
D) y = (1/4)x - 1

Answers

I think the answer is A. 
Hope this helps!

The number N is the produce of the first 1000 positive integers and can be written as 1000!.We say "1000 factorial."This is, N=1000!=1000x999x998x997x...x3x2x1.N is divisible by 5, 25, 125, 625,...Each of these factors is a power of 5.That is 5=5^1, 25=5^2, 125=5^3,625=5^4, and so on. Determine the largest power of 5 that divides N.

Answers

From 1000 to 1, there are 200 numbers that are divisible by 5, which means that 1000! is divisible by at least 5^200.Then there are 40 numbers that are divisible by 25 (5^2), so this adds another 5^40.Then there are 8 numbers divisible by 125 (5^3), so this adds another 5^8.Finally, 1 number is divisible by 625 (5^4), so this adds 5^1.
Therefore, the total sum is 5^(200+40+8+1) = 5^249. Therefore, the largest N = 249.

A line of best fit predicts that when x equals 35, y will equal 34.785, but actually equals 37. What is the residual in this case?

Answers

we know that

Residual Value = Observed Value– Predicted Value

in this problem
Observed Value=37
Predicted Value=34.785
Residual Value = 37-34.785------> 2.215
positive values for the residual (on the y-axis) mean that the prediction was too low

the answer is
2.215

If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.

Answers

By proportion that would be 8/5 *  1/4  = 8/20 = 2/5 of a pizza.

Write the first 6 terms of an arithmetc sequence if the first number is 9 and the common diffrence is 5

Answers

[tex]a_1=9\\d=5\\\\a_n=a_1+(n-1)d\\\\a_n=9+(n-1)\cdot5\\\\a_n=9+5n-5\\\\a_n=5n+4\\\\a_1=9\\a_2=5\cdot2+4=14\\a_3=5\cdot3+4=19\\a_4=5\cdot4+4=24\\a_5=5\cdot5+4=29\\a_6=5\cdot6+4=34[/tex]

Write an equation to match each graph:

Answers

the equation should be y=|x| BUT i am not 100%. there would be no shifts because the vertex is on the origin.

Write an equation to match each graph.

Solution:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,

y=|x|

The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,

y=|x-1|

The third  graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,

y=-|x|+1

The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,

y=|x-1|-1

The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is

y=|x+1|

Explaining Factored Form The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.

Answers

The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, mmust have the larger absolute value.

Sample Response: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

(on the assignment)

Of the following options, what could be a possible first step in solving the equation −7x − 5 = x + 3?
Adding 7x to both sides of the equation
Subtracting 5 from both sides of the equation
Adding x to both sides of the equation
Combining like terms, −7x + x = − 6x

Answers

Adding 7x to both sides makes the most sense.  It would cancel out with the -7x, leaving you with -5 = 8x + 3.

Subtracting 5 from both sides wouldn't cancel anything out, adding x to both sides wouldn't cancel anything out, and you can't combine like terms on either side of the equation.

add 7x to both of the sides

for the function d(x)=7x^3 - 6x^2 what is the vaule of d(4)

Answers

For this case we have the following function:
 d (x) = 7x ^ 3 - 6x ^ 2
 We evaluate the function for x = 4.
 We have then:
 d (4) = 7 * (4) ^ 3 - 6 * (4) ^ 2
 Rewriting we have:
 d (4) = (4 ^ 2) * (7 * (4) - 6)
 d (4) = 352
 Answer:
 the vaule of d (4) is:
 d (4) = 352

What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
answer in terms of pie

Answers

volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³

URGENT PLEASE HELP


Suppose 20% of all widgets produced at a factory are defective.


A simulation is used to model widgets randomly selected and then recorded as defective or working.


Which simulation best models the scenario?





Place 50 equally sized pieces of paper in a hat. Of the 50, 5 read “defective” and the rest read “working”.



Place 25 equally sized pieces of paper in a hat. Of the 25, 5 read “defective” and the rest read “working”.



Place 20 equally sized pieces of paper in a hat. Of the 20, 5 read “defective” and the rest read “working”.



Place 100 equally sized pieces of paper in a hat. Of the 100, 5 read “defective” and the rest read “working”.

Answers

Place 25 equally sized pieces of paper in a hat. Of the 25, 5 read “defective” and the rest read “working”.

What is the distance between point (3, 2) and line y = 1/4x-9

Answers

Hello!

You can put 3 in for x

y = 1/4(3) - 9

y = 0.75 - 9

y = -8.25

A point on the line is (3, -8.25)

Find the difference in y values

-8.25 - 2 = -10.25

The answer is 10.25 units

Hope this helps!

Which expression is equivalent to mc003-1.jpg?

Answers

Given two functions f(x) and g(x), when you multiply the two functions, according to algebra:
f(x)*g(x)
=(fg)(x)
hence when x=5
then
f(5)*g(5)
=(fg)(5)
therefore, the answer to 
(fg)(5)
=f(5)*g(5)

Answer:

Option A is correct

The expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

Step-by-step explanation:

Using the formula:

[tex](f \cdot g)(x) = f(x) \cdot g(x)[/tex]                  .....[1]

Given the expression:

[tex](f\cdot g)(5)[/tex]

Substitute the value of x = 5 in [1]

we get;

[tex](f \cdot g)(5) = f(5) \cdot g(5)[/tex]

Therefore, the expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

Pete is purchasing an mp3 player for 199.90 he gives the sales clerk 2 fifty dollar bills, 4 twenty dollar bills and 4 five dollar bills how much should he receive back

Answers

Amount of money Peter gave the sales clerk is:
2(50)+4(20)+4(5)
=100+80+20
=$200
Thus the balance he received was :
200-199.90
=$0.1
=10 cents

2/3 - 4x + 7/2 = -9x + 5/6

Answers

The answer is:
x=-2/3

You can convert the equation to 4/6+21/6-5/6=-9x+4x, which equals 0.666 repeating.

. Stephen deposited $1800 into a savings account for which interest is compounded weekly at a rate of 3.2%. How much interest will he earn after 10 years?
58.81
678.59
2478.59
im just putting this up to see if my answer was write. i did the math and unless i messed up writing i got the second answer

Answers

A = P(1+i/n)^nt

A = Total amount paid
P = Principal amount
i = Annual interest
n = number of payments per year
t = time in years

Substituting the values given,
A = 1800(1+0.032/52)^52*10 = $2,478.59

Interest paid = A - P = 2478.59-1800 = $678.59

Second answer is correct.

Given ​ f(x)=x2+14x+40 ​.


Enter the quadratic function in vertex form in the box.

Answers

Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => f(x)=x^2+14x+40

Next, complete the square:

f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).

Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third day she biked 20 miles and on the eighth day she biked 35 miles use these two data points to determine the equation of the line best of fit set for Maggie’s data

Answers

We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: [tex]m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}} [/tex]
We can infer form our points that [tex]x_{1}=3[/tex], [tex]y_{1}=20[/tex],[tex]x_{2}=8[/tex], and [tex]y_{2}=35[/tex]. so lets replace those values in our slope formula:
[tex]m= \frac{35-20}{8-3} [/tex]
[tex]m= \frac{15}{5} [/tex]
[tex]m=3[/tex]

Now that we have the slope, we can use the point-slope formula determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: [tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-20=3(x-3)[/tex]
[tex]y-20=3x-9[/tex]
[tex]y=3x+11[/tex]

We can conclude that the equation of the line that  best fit the set for Maggie’s data is [tex]y=3x+11[/tex].

PLEASE HELP!

The center of a circle is at (2, −5) and its radius is 12.

What is the equation of the circle?

(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{12}{ r} \\\\\\\ [x-2]^2+[y-(-5)]^2=12^2\implies (x-2)^2+(y+5)^2=144[/tex]

Which of the following terms correctly describe the figure given below? Check all that apply.

Answers

I think its Polyhedron, pyramid, solid.

Answer:

Hence, the correct options are Polyhedron, Pyramid and Solid

Step-by-step explanation:

According to the options, we have,

1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.

So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.

Thus, it is a polyhedron.

2. Polygon is a closed two dimensional figure bounded by straight lines.

But, the given figure is not a 2-D figure and so is not a polygon.

3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.

Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.

So, the given figure is not a prism.

4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.

As, we can see that the given figure have polygonal base and triangular sides converging to a point.

So, the given figure is a pyramid.

5. Cube is a 3-D figure with all the six faces as squares.

But, the given figure does not have square faces and so is not a cube.

6. Solid is a figure having three dimensions.

Since, the given figure does have three dimensions.

So, it is a solid.

Hence, the correct options are Polyhedron, Pyramid and Solid.

Simplify -62 ÷ 12 - 2(-7).

Answers

Final answer:

To simplify -62 ÷ 12 - 2(-7), evaluate the expression inside the parentheses first, then perform the division and subtraction.

Explanation:

To simplify the expression -62 ÷ 12 - 2(-7), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in this case. First, we need to evaluate the expression inside the parentheses: 2(-7) = -14. Then, we perform the division: -62 ÷ 12 = -5. Finally, "we subtract: -5 - (-14) = -5 + 14 = 9".

Learn more about Simplifying expressions here:

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Christine runs 7 miles in 60 minutes. at the same rate, how many miles would she run in 24 minutes?

Answers

Let x = the unknown amount of miles she would run. We are going to set up a proportion.

[tex] \frac{7 miles}{60 min} = \frac{x miles}{24 min} [/tex]

Now we are going to cross-multiply and solve for x. 

60x = 7(24)
60x = 168
x = 168 / 60
x = 2.8

Christine runs 2.8 miles in 24 minutes. 
Final answer:

Christine would run approximately 2.8 miles in 24 minutes at the same rate she runs 7 miles in 60 minutes.

Explanation:

To find out how many miles Christine would run in 24 minutes, we can set up a proportion. We know that Christine runs 7 miles in 60 minutes, so we can write the proportion as:

7 miles / 60 minutes = x miles / 24 minutes

Now, we can cross-multiply and solve for x:

7 * 24 = 60 * x

168 = 60x

x = 168 / 60

x ≈ 2.8 miles

So, her speed would be 7/60 = 0.1167 miles per minute. Now, to find out the distance she would cover in 24 minutes at this speed, we multiply her speed per minute by 24 minutes. So, 0.1167 * 24 = approximately 2.8 miles. Therefore, at the same rate, Christine would run about 2.8 miles in 24 minutes.

Learn more about proportion here:

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What happens to correlation if you multiply every x in the data set by .5?

Answers

it'll go positive but for every number or goes half way

a vertical pole 10 meters high, casts a shadow 8 meters long. at the same time, a nearby tree casts a shadow 40 meters long. find the height of the tree in meters

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The vertical pole is10 meters high and casts a shadow 8 meters long.
 - The tree casts a shadow 40 meters long. 

 2. Then, by similarity, you have:

 x/10=40/8
 8x=(10)(40)
 8x=400
 x=400/8
 x=50 meters

 3. Therefore, as you can see, the answer is: The height of the tree is 50 meters.

How to find the shaded region of a circle with a rectangle inside?

Answers

You would start by finding the area of the circle and then finding the area of the rectangle. After finding both, subtract the area of the rectangle from that of the circle. 
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