The slope of the side connecting (-4,1) and (-6,5) = -2
The slope of the side connecting (1,2) and (-1,6) = -2
The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{-6--4}[/tex]
= 4/ -2
= -2
We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{6-2}{-1-1}[/tex]
= 4/-2
= -2
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HELP ME PLEASE THS IS ABOUT GEOMETRY THNKS
Using proportions, the coordinates of point C are given as follows:
C(0, -0.67).
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the points are given as follows:
A(-4,-6), B(5,6), C(x,y).
The ratio of AC to CB is of 4:5, hence the following equation is constructed:
C - A = 4/9(B - A).
As the ratio of 4:5 means that the distance is 4/(4 + 5) = 4/9.
The x-coordinate of C is found applying the above equation as follows:
x + 4 = 4/9(5 + 4)
x + 4 = 4
x = 0.
The y-coordinate of C is also found applying the equation, as follows:
y + 6 = 4/9(6 + 6)
y + 6 = 5.33.
y = -0.67.
Hence the coordinates of point C are given as follows:
C(0, -0.67).
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Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3500 cubic feet and whose height is 2.9 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
The radius of the hole is 0.07 feet.
What is the radius?A cylinder is a three-dimensional object that is made up of a prism and a circular base.
Volume of a cylinder = πr²h
Radius = √volume / (π x h)
Where:
π = pi = 22/7r = radiush = heightThe volume of the hole and the height of the hole are in different dimensions. Thus, the height of the hole has to be converted to feet.
1 mile = 5280 feet
5280 x 2.9 = 15,312 feet
3500 / (22/7 x 15,312) = 0.07 feet
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Which shows the equation below written in the form ax² + bx + c = 0?
x+ 9 = 2(x-1)²
Answer:
[tex]2x^2 -5x - 7 =0[/tex]
Step-by-step explanation:
We have the equation
[tex]x + 9 = 2(x-1)^2[/tex]
[tex](x-1)^2 = x^2-2x+1[/tex] using the formula [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]x + 9 = 2(x^2-2x\cdot \:1+1^2)[/tex] = [tex]2x^2-4x+2[/tex]
Switch sides
[tex]2x^2-4x+2=x+9[/tex]
Subtract 9 from both sides
[tex]2x^2-4x+2 - 9=x+9-9[/tex]
[tex]2x^2 -4x -7 = x[/tex]
Subtract x on both sides
[tex]2x^2 - 4x -7 -x = 0[/tex]
[tex]2x^2 - 4x - x -7 = 0[/tex]
[tex]2x^2 -5x - 7 =0[/tex]
where
[tex]a = 2, b = -5, c = -7[/tex]
Answer: I hope this helps.
Step-by-step explanation:
Two splice plates are cut from a piece of sheet steel that has an overall length of 19 3/8 in. The plates are 9 1/4 in. and 6 15/16 in. long. How much material remains from the original piece if each saw cut removes 1/16 in.?
The material that remains from the original price is 3 1/16 inches.
How much material remains?A fraction is a non-integer that consists of a numerator and a denominator. A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.
Material left = initial length - length of the first plate - length of the second plate - (2 x 1/16)
[tex]19\frac{3}{8} - 9\frac{1}{4} - 6\frac{15}{16} - \frac{2}{16}[/tex]
[tex]4\frac{6 - 4 - 15 - 2}{16}[/tex]
4[tex]\frac{-15}{16}[/tex]= 3 1/16 inches
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There are about 7,000,000,000 people in the world. In Australia, there is a population of about
2.306 x 107 people. What is the difference between the world's and Australia's populations?
If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]
Given,
The total population of world = 7,000,000,000 peoples
Convert to suitable standard form
7,000,000,000 peoples = 700× [tex]10^{7}[/tex] peoples
The population of Australia = 2.306×[tex]10^{7}[/tex]
The difference = The population of world - The population of Australia
=700× [tex]10^{7}[/tex]-2.306×[tex]10^{7}[/tex]
=(700-2.306)×[tex]10^{7}[/tex]
=697.694×[tex]10^{7}[/tex]
Hence, If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]
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a - 15 = 22
———
83 = y - 17
could someone please give me the step-by-step answer for these?
I’m really confused
Answer:
a = 37 y = 100
Step-by-step explanation:
Think of the inverse operation of addition which is subtraction. Then you can guess and check and see what fits where. The letters are just placeholders so I took the given number and added it to the answer to get the answers for the blanks.
Cheers!
A civil engineer counted the cars that passed through an intersection.If 2457 cars passed through the intersection in one hour how many cars would pass through 8 hours
Also need you to send the working out please you would help the best
The number of cars that would pass through the intersection in 8 hours is 19,656.
How many cars would pass through in 8 hours?In order to determine the number of cars that would pass through the intersection in 8 hours, the cars that passed through in one hour would be multiplied by the number of hours.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the process of adding one number to another over a number of times. The sign used to represent multiplication is x.
Total number of cars that passed through in 8 hours = cars that passed through in one hour x number of hours
2457 X 8
2457
x 8
19,656
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Rewrite 42= 6x7 using commutative law of multiplication
we get 6 = 6 , in 42= 6x7 using commutative law of multiplication.
What do associative law and commutative law mean?
The order of some mathematical operations is addressed by the commutative property. We can write the binary operation as a + b = b + a. The associative attribute, on the other hand, deals with the grouping of numbers in an operation. For instance, we could write it as (a + b) + (a + b + c).This law states that no matter how the numbers are arranged, the outcome of multiplying two integers remains the same. So A.B = B.A. Examples include: 1 + 2 + 1 + 2 + 4 + 5 + 4 + 20.using the Commutative Law of Multiplication.
42 = 6 x 7
42 / 7 = 6
6 = 6
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find the value of x -7 when x=20.
Answer:
13
Step-by-step explanation:
When x=20
=x-7
=20-7
=13
graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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Solve this solution. WILL GIVE BRAINLIEST
Answer:
impossible
Step-by-step explanation:
what is in the absolute value have to be positive so it's impossible that |2x+5| is < or = at -7
Multiplication equation-
X
Groups
10. Write a multiplication equation for each one.
a) 2+2+
2+2 + 2 =
b.) 5+5+5+5+5=
c.) 4 groups of 3 =
Draw a picture of 4 groups of 3
------->
--->
->
X
X
X
=
we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.
We are given some expressions and we need to find the multiplication equation for each one.
a) 2 + 2 + 2 + 2 + 2 will be
Since, 2 is repeating 5 times, we get that:
multiplication equation will be:
2 + 2 + 2 + 2 + 2 = 2 × 5
b) 5 + 5 + 5 + 5 + 5 will be
Since, 5 is repeating 5 times, we get that:
multiplication equation will be:
5 + 5 + 5 + 5 + 5 = 5 × 5
c ) 4 groups of 3 will be
Since, 3 is repeating 4 times, we get that:
multiplication equation will be:
4 groups of 3 = 3 × 4
Therefore, we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.
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A cone-shaped pile of sawdust has a base diameter of 40feet, and is 17feet tall. Find the volume of the pile.
Answer:
7120.94 cubic feet
Step-by-step explanation:
volume of a cone =
pi times radius squared times (height ÷ 3)
pi times 20 squared times (17 ÷ 3)
What is the answer to this?
$8.72 - $4.90
$8.72 - ___________ = $3.72
____________ + $0.10= _______
What is the answer to 534÷112?
Answer: it is 4.76785714286
Step-by-step explanation:
Please show work, and brainliest will be yours.
Now, because the conditional and converse are true, then we have a biconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both
What are the truth values of the contrapositive and inverse statements?
A conditional statement is of the form:
If P, then Q.
The inverse statement is:
if Q, then P.
We assume that these two are true.
An example of this is:
P = a number is even.
Q = a number is a multiple of 2.
Then the two above statements are:
conditional: If a number is even, then the number is a multiple of 2.converse: if a number is a multiple of 2, then it is even.Now the inverse statement is:
if not P, then not Q.
The contrapositive is:
If not Q, then not P.
Now, because the conditional and converse are true, then we have a byconditional relation between P and Q.
From that, we conclude that the truth values for the two above statements is true for both, but let's check with our propositions:
Inverse: If a number is not even, then it is not a multiple of 2. (this is true)
Contrapositive: If a number is not multiple of 2, then it is not even (also true).
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Is -22 a rational number?
Yes, it is a rational number
Joey walked 10 laps around the school's track. He walked a total distance of 6.74 miles. Monica walked 30 laps around the same track. What is the total distance Monica walked?
Answer:
20.22 miles
Step-by-step explanation:
If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22
Find the slope of the line if it exists.
Answer: 5/4
Step-by-step explanation: You go up five from point (-6,0) and across for to point (-2,4)
how do you find the nth term of 70, 110, 150, ….
Answer: an=40(n-1)+70
Step-by-step explanation:
70, 110, 150, ….
Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.
y=40(x-1)+70
an=40(n-1)+70 ==> an=term value/nth term. n=term number
Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
A: 0
B: −10
C: 20
D: 10
Answer:
d) 10
Step-by-step explanation:
Let's solve the problem,
→ 4p + 5 = 6p - 15
→ 6p - 4p = 5 + 15
→ 2p = 20
→ p = 20/2
→ [ p = 10 ]
Hence, option (d) is correct.
what is the distance between the points (5, 14) and (18, 3)?
Answer:
14.87
Step-by-step explanation:
help fast please math!!!!!!!!
Answer:
I am thinking 180
Step-by-step explanation:
The reason why I say this is because 180 over 12 equals to 15
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza. Chee purchased a membership to this pizza shop. How much would Chee have to pay the pizza shop if she bought 12 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answer:
$35 for 12 slices
Monthly cost for x slices of pizza = 20 + 1.25x
Step-by-step explanation:
Monthly Membership cost = $20
Discounted cost per slice of pizza = $1.25
Discounted total cost for 12 slices = $1.25 x 12 = $15
Total cost = 20 + 15 = $35 this momth
For x slices of pizza, monthly cost = 20 + 1.25x
find the quotiont: 2,009 ÷ 87=
please help
For a sporting event 6,000 tickets were sold, and the proceeds were $78,000. Tickets for children 16 and younger, were $8, adults were $16, and seniors 60 and older were $12. There were 2 times more adults than children at the sporting event.
What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the sporting event?
Responses
c+a+s=6,000
8c+12a+16s=78,000
2a=c
c+a+s=6,000
8c+16a+12s=78,000
a=2c
c+a+s=6,000
8c+12a+16s=78,000
a=2c
c+a+s=6,000
8c+16a+12s=78,000
2a=c
Option 2 is the answer.
No. on tickets sold = 6000
Proceedings of the tickets sold = $78,000
Cost of tickets for children = $8
Cost of tickets for adults = $16
Cost of tickets for seniors = $12
2 times more adults were present than the children.
Let the number of children be 'c.'
Let the number of adults be 'a.'
Let the number of seniors be 's.'
Since 2 times more adults were present than the children, we get the equation,
a = 2c
No. of tickets sold will be equal to the total no, of people.
∴ c + a + s = 6000
The proceedings will be equal to the sum of the amounts and number of people who bought tickets with that amount,
∴ 8c + 16a + 12s = $78,000
Thus, we have the three equations,
c + a + s = 6000
8c + 16a + 12s = $78,000
a = 2c
This series of equations are given in option 2 Thus, option 2 is the answer.
Answer) Option 2.
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71500 divided by 8 long division
Answer:
The answer is 8,937.5
Step-by-step explanation:
71500÷8
8×8=64
71-64=7
7500÷8
8×9=72
75-72=3
300÷8
8×3=24
30-24=6
60÷8
8×7=56
60-56=4
4.0÷8
8×5=40
40-40=0
Select all of the following tables which represent y as a function of x
.
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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What is -y+9z-16y-25z+4 written in simplest form
A={x|x is an even number more than 0 but less than 5}
Answer:
A = {2, 4}
Step-by-step explanation:
This can be written as
A = {2, 4}