The number of line segments that can be formed on the same line is A = 6
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
If A, B, C, and D are different points on the same line, then the number of line segments with endpoints at these points can be calculated by counting the number of ways to choose 2 points from the 4 points.
The number of ways to choose 2 points from 4 points is given by the binomial coefficient 4 choose 2, which is:
So , the combination is ⁴C₂
4 choose 2 = ⁴C₂ = (4!)/(2!(4-2)!) = (4 x 3)/(2 x 1) = 6
Hence , there are 6 line segments with endpoints at A, B, C, and D.
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A line segment has endpoints (−3,−14) and (7,6) Which point could partition the line segment into the ratio 1:4?
[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{(1)(-14)+(4)(-3)}{1+4},\dfrac{(1)(7)+(4)(6)}{1+4}\right)[/tex]
[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{-26}{5},\dfrac{31}{5}\right)[/tex]
Solve the equation.
6.4= 4x
Ox=2.4
Ox=1.6
Ox=4
Ox= 10.4
Answer:
x= 1.6
Step-by-step explanation:
I have an equation
H (T) = -16 x T^2 + 64 x T
Please make a graph that represents this equation. If you want the whole problem, make a comment asking for it! 100 POINTS
Answer:
see attached
Step-by-step explanation:
A graphing calculator can graph your function nicely. See the attachment.
__
Additional comment
A spreadsheet can do this, too. However, that generally requires you compute a number of points on the graph.
The LCM of 4 and 7 is __.
Numerical Answers Expected!
Answer for Blank 1:

Answer:
28
Step-by-step explanation:
its ans may be 28 hope you will know
Answer:
28
Step-by-step explanation:
The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation. Select all statements that are true about the situation. © 2019 Illustrative Mathematics. All Rights Reserved. Select all that apply:A: Each day, the bacteria population grows by a factor of 2B: The equation p=2^d also defines the relationship between the population in thousands and time in daysC: The population reaches 7,000 after log2(7,000) daysD: The expression log2(10) tells us when the population reaches 10,000. E: The equation d=log2(p) represents a logarithmic functionF: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days
d = log₂p represents a logarithmic function, The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
[tex]p=2^d[/tex]
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
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(400 POINTS + BRAINLIEST) Does graph b represent a proportional relationship? Give at least 2 reasons.
Answer:
Yes, because the ratios will always be the same between them, and it is a straight line
Hope this helps! :)
Answer:
yes, see explanation below...
Step-by-step explanation:
1). A graph that represents a proportional relationship means that as [tex]x[/tex] increases, [tex]y[/tex] increases.
2). The graph is a straight line through the origin.
OUICK PLEASE HELP!!
The rectangles shown below can be folded to make a rectangular prism. To the nearest square centimeter, what is the total surface area of the prism formed by this net?
Answer:
b
Step-by-step explanation:
The answer is A. 1,512 cm^2
what is 5x + 7 and 2x + 3 as a verbal expression
Answer:
Five multiplied by a number increased by seven.
Two multiplied by a number increased my three.
Step-by-step explanation:
A karate school offers a package of 12 group lessons and 2 private lessons for $110. It also offers a package of 10 group lessons and 3 private lessons for $125. Write and solve a system of equations to find the cost of a single group lesson and a single private lesson.
Answer: The cost of a single group lesson is $5 and a single private lesson is $25
Step-by-step explanation:
Let the cost of a single group lesson be y.
Let the cost of a single private lesson be z.
A karate school offers a package of 12 group lessons and 2 private lessons for $110. This can be written as:
12y + 2z = 110 ..... equation i
It also offers a package of 10 group lessons and 3 private lessons for $125. This can be written as:
10y + 3z = 125 ...... equation ii
Combining equation i and ii
12y + 2z = 110 ..... equation i
10y + 3z = 125 ...... equation ii
12y + 2z = 110 × (3)
10y + 3z = 125 × (2)
36y + 6z = 330 ....... equation iii
20y + 6z = 250 ...... equation iv
Subtract equation iv from iii
16y = 80
y = 80/16
y = 5
From equation ii
10y + 3z = 125
10(5) + 3z = 125
50 + 3z = 125
3z = 125 - 50
3z = 75
z = 75/3
z = 25
The cost of a single group lesson is $5 and a single private lesson is $25
A group lesson costs = $5.
A private lesson costs = $25.
Let a group lesson costs = $x
A private lesson costs = $y.
According to the question:
12x + 2y = 110
10x + 3y = 125
Solving them we get x = 5, y = 25
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Anastasia put a bowl under a leaking pipe in her kitchen. After 2 1/4 hours Anastasia had collected 1/2 cup of watwe. What is the rate, in cups per hour, at which the water was leaking from the pipe?
Which graph represents the equation y = (x + 2)(x-4)?
Answer:
where are the graphs?
Step-by-step explanation:
If the height of an object at time t can be represented by
h(t) = -16t2 + 38t + 9, find h(7).
Answer:
-509
Step-by-step explanation:
h(t) = -16t² + 38t + 9
h(7) = - 16(49) + 38(7) + 9
h(7) = -784 + 266 + 9
h(7) = -509
Solution:
It should be noted:
Given equation: h(t) = -16t² + 38t + 9To find h(7), let's find "t" by comparing h(7) and h(t).
Compare h(7) and h(t):
h(7) = h(t)=> h(7)/h = h(t)/h=> 7 = tNow, find h(7) by substituting the value of t into the equation.
Substitute the value of t into the equation:
h(t) = -16t² + 38t + 9=> h(t) = (-16)(t²) + (38)(t) + 9=> h(7) = (-16)(7²) + (38)(7) + 9=> h(7) = -784 + 266 + 9=> h(7) = -509Thus, h(7) is -509.
Joseph and his family were going to the beach. Joseph's sister was running late so Joseph left their house with his mom. Joseph's dad waited for his sister to get ready and left one hour later driving 75 km/hour in an effort to catch up to Joseph and mom. After
driving for four hours Joseph's dad finally caught up. How fast was Joseph's mom driving?
Select the correct response:
100 km/hour
30 km/hour
60 km/hour
50 km/hour
Answer:
60 km/hr.
Step-by-step explanation:
When Dad caught up the the time he had been driving was 4 hours and the time Mom had been driving was 1 + 4 = 5 hours.
They both drove the same distance, d km.
For Dad:
speed = d / time
75 = d / 4
d = 75 * 4 = 300 km.
Mom took 5 hours to travel this distance, so
Mom's speed was 300 / 5 = 60 km/hr.
Step-by-step explanation:
Answer:
a solid 50 km/hour
Step-by-step explanation:
Please help with the bonus. I beg
Answer:
8-8/8+8
Step-by-step explanation:
answer = 8-8/8+8
= 8-1+8
= 7+8
= 15
Can anybody help me I’m giving 25 points plz plz plz help me
Answer:
Step 4 is wrong and so is Step 7
Step-by-step explanation:
In step 4, she would have had to add 8 to both sides.
In step 7, the answer is first of all, wrong, and second of all, it would have been negative 1. (if even 1)
x is supposed to equal -9
Hope I helped :)
Please consider Brainliest :)
Answer:
Step 3 is wrong and step 4 is wrong too.
Step four was she was supposed to ADD 8 not subtract. In step 3, ur not supposed to have 2 operators (ex: operators are division sign, multiplication, subtraction, and addition sign. )
Hope this helps :)
6. Moe and Curly went to Best Buy. Moe bought four CDs and five DVDs and
paid $123. Curly bought two CDs and four DVDs and paid $84. What is the
cost of one CD? What is the cost of one DVD?
(Can y’all help me out real quick please)
How do I write my two equations for this??
Answer: one CD cost $12 and one DVD cost $15 .
Step-by-step explanation:
In this situation we will represent the cost o one CD by x and the number of one DVD by y. Four CDs plus five DVDs cost 123 so we will represent it by the equation 4x + 5y = 123
The same or the second part of the statement. 2 CDs plus 4 DVDs cost $84 so we will also represent that by the equation , 2x + 4y = 84
Since we have two equations we will use it to solve or x and y using the elimination method.
4x + 5y = 123
2x + 4y = 84 Multiply the down equation by -2 to eliminate the x variable.
-2(2x + 4y ) = -2(84)
-4x -8y = -168
We will now have the new equations ,
4x + 5y = 123
-4x - 8y = -168 Add both equations to
-3y = -45
y= 15
This means each DVD cost $15 .
Now we will now have to solve for x by plotting in the value of y into the equation .
4x + 5(15) = 123
4x + 75 = 123
-75 -75
4x = 48
x = 12
This also means that one CD cost $12.
What is he answer for b)
Answer:
70
Step-by-step explanation:
triangle xbc is an isosceles triangle.
there are 180 degrees in a triangle.
angle xbc=55.
so that means angle xcb is also 55.
55+55=110
180-110=70
hope this helps
Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place? A. a reflection across the line y = x followed by a reflection across the line y = -x B. a reflection across the x-axis followed by a reflection across the y-axis C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x D. a reflection across the y-axis followed by a reflection across the x-axis
Answer:
C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x
Step-by-step explanation:
Let us assume that the coordinate of A in triangle ABC is A(x, y)
A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).
If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)
B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).
If a reflection across the line y axis is then done, the new coordinate is at
A"(-x, -y)
C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).
If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)
D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).
If a reflection across the line x axis is then done, the new coordinate is at
A"(-x, -y)
Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'
Answer:
C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x
Step-by-step explanation:
Let us assume that the coordinate of A in triangle ABC is A(x, y)
A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).
If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)
B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).
If a reflection across the line y axis is then done, the new coordinate is at
A"(-x, -y)
C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).
If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)
D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).
If a reflection across the line x axis is then done, the new coordinate is at
A"(-x, -y)
Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'
Consider a dust mite that measures 10^-3 millimeters in length and a gecko that measures 10 centimeters long. How many orders of magnitude as long as the mite is the gecko?
The order of magnitude as long as the mite is to the gecko is 9.9999
What is Measurement?A measurement unit is a standard quantity used to express a physical quantity.
The dust mite measures 10⁻³ millimetres in length.
The wall gecko measures 10 centimetres in length.
The orders of magnitude as long as the mite is the gecko is as follows;
1 mm = 0.1 cm
10⁻³ mm (0.001 mm)= ?
length(cm) = 0.0001 / 1 = 0.0001 cm
length of mite = 0.0001 cm
The order of magnitude as long as the mite is to the gecko is 10 - 0.0001 = 9.9999
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solve for x: |3x+12|= 18
=====================================================
Work Shown:
|3x+12| = 18
3x+12 = 18 or 3x+12 = -18
3x = 18-12 or 3x = -18-12
3x = 6 or 3x = -30
x = 6/3 or x = -30/3
x = 2 or x = -10
The rule used in step 2 is the idea that if |x| = k, for some positive number k, then x = k or x = -k. One equation breaks into two separate ones. From there we solve each equation for x as normal. Follow PEMDAS in reverse, undoing each operation, to isolate x.
If you're curious why the absolute value breaks into two parts, consider something like |x| = 7. This means x is 7 units away from zero on a number line. There are two possible locations where x could be: 7 and -7. This is one example showing why we get two different results. The same applies to our equation as well, just it's a bit more complicated.
Each month, Kim donates the same amount of money to a charity. If
she donates $1,800 in one year, how much does she donate each
month?
There are 12 months in a year.
According to the table, what is omar’s bank balance? $761.25 $810.30 $814.75 $1,186.25
The total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25
What do you mean by debit and credit amount?The money which is paid from an account is called the debit amount and the money which is paid into an account is called the credit amount.
To know the remaining balance of account, all the debit amount is subtracted from it and all the credit amount is added into it.
The table for the Omar's transaction is attached below. The data given in the table is,
Pharmacy - $15.20-DebitedRent - $425.00-DebitedDinner - $22.30-DebitedMovie Ticket - $26.70-DebitedPay Check - $1015.50-CreditedInitial Balance- $219.80The initial balance is $219.80, and a pay check of $1015.50 is credited in his account. Thus, the total balance in his account without any debit is,
[tex]A_i=1015.50+219.80\\A_i=1253.30[/tex]
The total amount debited from the account of Omar is,
[tex]A_d=15.20+425.00+22.30+26.70\\A_d=474.05[/tex]
Thus, the total remaining amount in his account is,
[tex]A=1253.3-474.05\\A=761.25[/tex]
Hence, the total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25
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Answer:
$761.25
Step-by-step explanation:
took the quiz on edge
5r + 1/5)2 r=0 Yall the 2 mean squared
Answer:
So we want to divide by .
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
Now we can rewrite our first fraction:
- For our second fraction:
Now we can rewrite our second fraction:
Last but not least, we can express our division as a fraction and simplify:
We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is:
Step-by-step explanation:
A heptagon has angles that measure 120°, 110°, 140°, 135°, 160°, 100°, and b. What is b?
Answer:
Here,
We know that,
Sum of interior angles of a heptagon=900°
So,
b+120+110+140+135+160+100=900
or, b+765= 900
or, b=900-765
Therefore, b= 135°
Answer:
135
Step-by-step explanation:
Fill in what’s missing from the chart. Remember, graphing means to plot the values in your table.
FIRST ROW SECOND ROW THIRD
FUNCTION. TABLE. GRAPH.
Answer:
(for the second one)
y = 4x + 10
solution:
so first you have to find the slope, there is an equation for it. it is y2 - y1/ x2 - x1 or just y1 - y2/ x1 - x2 . so input the easiest points. id say f(0) and f(1)
so it will look like
2 - 6/0 - 1
-4/-1
4
so you can now write the equation as
y = 4x + b
now you have to find the y-intercept so input a point. i dont think you should input a point you used to find the slope because you could have made a mistake calculating so lets input f(2)
sooo
18 = 4(2) + b
18 = 8 + b
b = 10
so the function for the second one is y = 4x + 10
[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf y} \\ \sf -1 &\sf 1.5 \\ \sf 0 &\sf 3\\ 1 &\sf 6 \\ \sf 2 &12\end{array}}\end{gathered}[/tex]
Plug in x values in the equation y = 3(2)^x
Graph plotted below:
is this relation a function? justify you answer.
Answer:
Yes
Step-by-step explanation:
If you perform the vertical line test, each row where there is a point only gets hit once, if it got hit twice it would not be a function.
(12,-18),(7,-9) find the slope of this equation
Answer: 1.8
Step-by-step explanation:
(-18-(-9))/(12-7)=-9/5
marco needs to buy some cat food.At the nearest store, 3 bags of food cost 17.25$. How much would marco spend on 6 of cat food?
Answer: $34.50
Step-by-step explanation:
If 3 bags of cat food cost $17.50 this means that 6 will be double that or $34.50.
2x + 5 = 13
what is x
Answer:
x = 4
Step-by-step explanation:
it's important to keep in mind that you can do anything to an equation as long as you do it to both sides, and it will still be equal.
2x + 5 = 13
subtract 5 from both sides of the equation
2x + 5 -5 = 13 - 5
2x = 13 -5
2x = 8
divide both sides of the equation by 2
2x/2 = 8/2
x = 4
The value of x for the equation 2x + 5 = 13 is x = 4.
Given that:
There is an equation in x which is given as,
2x + 5 = 13
It is required to find the value of x.
That is, solve the equation.
It is required to get the equation in such a way that x is on one side and a constant on the other side.
2x + 5 = 13
Subtract both sides by 5.
2x = 8
Divide both sides by 2.
x = 4
Hence the value of x is 4.
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Kat's dog runs around the perimeter Of a rectangular field. The diagonal Of the field is 25 yards in length and the field has a length Of 20 yards. HOW many total yards did Kat's dog run?