Answer:
Find K between M(1, -3) and N(4, 6) such that the
ratio of MK to KN is 1:2.
Step-by-step explanation:
Find K between M(1, -3) and N(4, 6) such that the
ratio of MK to KN is 1:2.
The coordinates of point K are (2, 0).
Given that there are three points M, K and N, such that M = (1, -3) and N = (4, 6) and the ratio of MK to KN is 1:2.
We need to find the coordinates of point K.
To find point K between M(1, -3) and N(4, 6) such that the ratio of MK to KN is 1:2, we can use the concept of section formula.
Let's assume the coordinates of point K are (x, y).
The section formula states that if a point K divides a line segment MN in the ratio m:n, then the coordinates of K are given by:
x = (n·x₁ + m·x₂) / (m + n)
y = (n·y₁ + m·y₂) / (m + n)
where (x₁, y₁) are the coordinates of point M and (x₂, y₂) are the coordinates of point N.
In this case, the ratio of MK to KN is 1:2, so m = 1 and n = 2.
Substituting the coordinates of M(1, -3) and N(4, 6) into the formula:
x = (2·1 + 1·4) / (1 + 2)
= (2 + 4) / 3
= 6 / 3 = 2
y = (2·(-3) + 1·6) / (1 + 2)
= (-6 + 6) / 3
= 0 / 3
= 0
So, the coordinates of point K are (2, 0).
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Pleas look at screenshot
If the point (x, y) is in Quadrant III, which of the following must be true?
x < 0 and y>0
x < 0 andy<0
Submit
x > 0 and y>0
x > 0 and y < 0
Answer: x < 0 and y < 0
Step-by-step explanation:
quadrant three is here
|
II | I
|
--------------------|-------------------
|
III | IV
|
here /\
so, the x is to the left which is negative, and the y is down which is negative. x is less than zero, and y is less than zero
mr. fullingham has 75 geese and 125 turkeys. what is the ratio of te number of geese to the total number of birds in simplest terms
Which of these are examples of deductive reasoning? Select the correct answer. Milk costs $2.99 per gallon at the first three grocery stores that Gema visited. She concludes that milk costs costs $2.99 per gallon everywhere. Most tulips grow to between 6 and 24 inches tall. Janelia concludes that the flowers in her garden will be shorter than 24 inches. Felix knows that everything that fits in his bookbag will fit in his suitcase. His laptop fits in his bookbag, so he concludes that the laptop will fit in his suitcase. Everytime Matthew has left for school at 7 am, he has been on time. Matthew concludes that if he leaves the house at 7 am today, he will be on time. The school's schedule states that lunch period is from 12 p.m. to 1 p.m. Eric concludes that it is after 12:00 p.m. because it is currently the lunch period. Sammy notices that the ants around his house all have 6 legs. He concludes that all ants must have 6 legs.
An example of deductive reasoning is Most tulips grow to between 6 and 24 inches tall. Janelia concludes that the flowers in her garden will be shorter than 24 inches.
What is a deductive reasoning?Deductive reasoning can be described as the mental process that involves the the act of drawing deductive inferences.
It should be noted that this inference can be valid in the case whereby the conclusion is seen to be in line with logic from its premises, hence option B is correct because it follows a logical sequesnce before amking a conclusion.
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Answer:
Step-by-step explanation:
It's C and E
Felix and The school's schedule
if an airplane's speed is 625 miles per hour what is its speed in feet per second? round your answer to the nearest whole number. there are 5,280 feet in a mile
A. 426 ft per second
B.917 ft per second
C.55,000 ft per second
D.1,188,000 ft per second
The speed with which the airplane is flying in feet per second is 917 ft per second.
The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
It is given that,
The speed with which the airplane is flying is = 625 mile per hour
We need to find the speed of the airplane in feet per second
Number of seconds in 1 hour = 60 x 60 = 3600s
Number of feet in 1 mile = 5280 feet
Number of feet in 625 mile = 5280 x 625 = 33,00,000 feet
Speed of airplane in feet per second = [tex]\frac{33,00,000}{3,600}[/tex]
= 916.66 feet per second
~917 feet per second
Hence, the speed with which the airplane is flying in feet per second is 917 ft per second.
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Identify the like terms in the list.
16y ^6, 2y^ 5, 4y ^2, 10y, 16y^ 2
Answer:
4y^2
16y^2
Step-by-step explanation:
16 y^6 matches nothing. The powers on the letter must be the same to have like terms.
2y^5 has the same comment.
4y^2 and 16y^2 are similar terms. Both have y^2
10y matches nothing
What are the solution(s) of 2(x+3)²/₃=8 ?
The solution is 5
Rewriting the expression -
2(x+3)²/₃=8
Divide Left Hand Side and Right Hand Side of the equation -
(2(x+3)²/₃)÷2 = 8÷2
Performing division to find the solution
(x+3)²/₃ = 4
Taking cube on both sides of the equation
((x+3)²/₃)³ = 4³
The exponent on Left Hand Side will be multiplied cancelling 3, as it is common in both numerator and denominator
(x + 3)² = 64
Now, taking square root on both sides of equation
√(x + 3)² = √64
Solving the square root on both sides of equation
x + 3 = 8
Shifting 3 to Right Hand Side of the equation
x = 8 - 3
Performing subtraction
x = 5
Hence, the solution of equation is 5
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can someone please tell me what 383.0 divided by 90 is?????????
Sure!!!
The answer is 4.25555!
Hope this helps! Have a great day! :D :)
Answer:
The answer is 4.2555555556
Justin borrowed money from a credit union for 2 years and was charged simple interest at an annual rate of 7%. The total interest that he paid was $840. How much money did he borrow?
Justin borrow $6,000 from a credit union for 2 years.
What is Principal amount?
The amount of money initially borrowed from the lender, and as the loan is repaid, it can also refer to the amount of money still owed, is called Principal amount.
Given that;
Simple interest = $840
Time = 2 years
Annual rate = 7%
Now, The formula for calculate the principal amount is,
Simple interest = Principal amount × Rate × time / 100
Principal amount = Simple interest × 100 / Rate × time
Hence,
Principal amount = 840 × 100 / 7 × 2
Principal amount = 84,000 / 14
Principal amount = $6000
So, Justin borrow $6,000 from a credit union for 2 years.
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pls help.. A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird’s altitude. Give your answer to the nearest hundredth.
The bird settles on the branch at the rate of 2.33 meters per second.
What is the rate of change?The rate of change refers to the traveling speed of the bird when perching on the branch.
The rate of change (which is speed) is the distance (altitude) divided by time.
Data and Calculations:The bird's flying altitude above ground = 10 meters
Time in seconds to settle on a branch = 3 seconds
The altitude above ground after settling on the branch = 3 meters
The change in altitude = 7 meters (10 - 3)
Rate of change = 2.33 meters per second (7/3)
Thus, the rate of change that the bird used to settle on the branch is 2.33 meters per second.
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Answer:
-2.33
Step-by-step explanation:
Please help!!
Solve for a:
b(a + f) = M
Which expression is NOT equivalent to ⁶√16 ²?
(A) (16 r²)¹/₆ (B) 4 r¹/₃ (C) (4 r)¹/₃ (D) ∛4 r}
The correct option is (B) [tex]4 r^\frac{1}{3}[/tex]
The exponential expression [tex]4 r^\frac{1}{3}[/tex] is not equivalent to ⁶√16r².
What is exponential expression ?In, mathematics a exponential function or exponential expression is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the exponential function can be written as [tex]a^x[/tex] .Or we can say that there is always has something power something rule in case of exponents.
where, a is the base expression of function
x = exponent of expression
According to question,
the expression,[tex]\sqrt[6]{16r^2}[/tex] can be written in following ways:
Case 1 : if we simplify the expression using fractional method ,
then, [tex]\sqrt[6]{16r^2}[/tex] = [tex]({16r^2})^{\frac{1}{6}} = (4r)^\frac{2}{6 } = (4r)^\frac{1}{3 }[/tex]
i.e. option (A) and (C) are satisfying the expression
Case 2 : if we simplify the equation exponentially ,
then, [tex]\sqrt[6]{16r^2} = 3\sqrt{4r}[/tex]
i.e. option (D) is satisfying the expression
Hence, the expression is not equivalent to ⁶√16r² is option B.
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3xy+5x+2+3y+x+4 answer
The equivalent expression of the expression given as 3xy + 5x + 2 + 3y + x + 4 is 3xy + 6x + 3y + 6
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
3xy + 5x + 2 + 3y + x + 4
Collect the like terms in the above expression
So, we have
3xy + 5x + 2 + 3y + x + 4 = 3xy + 5x + x + 3y + 4+ 2
Evaluate the like terms in the above expression
So, we have
3xy + 5x + 2 + 3y + x + 4 = 3xy + 6x + 3y + 6
Hence, the equivalent expression of the expression given as 3xy + 5x + 2 + 3y + x + 4 is 3xy + 6x + 3y + 6
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Are the lines paraellel, perpendicular, or neither? b) line 1 : y+1/3x=4 line 2 y=3x-2
8 over 3 / 3 simplified
Answer:
8
Step-by-step explanation:
if you mean 8/ (3/3), Then you get 8 because 3/3 = 1 and 8/1 is 8. Also if you put that equation into a calculator then you get 8
Which table represents a linear function?
Is it possible to have a Triangle with
3cm , 6cm , 7cm ?
Answer:
yesStep-by-step explanation:
Is it possible to have a Triangle with
3cm , 6cm , 7cm ?
the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. so your answer is YES (obtuse Triangle)
Kaylee deposits $500 into a savings account with a 3% intrest rate what will her balance be in 3 years
Answer: $576.99 in 3 years
Step-by-step explanation:
Answer:
546.36
Step-by-step explanation:
Interest rate calculator
Calculate (7.15 x 10^9) - (4.56 x 10^8).
2.59 x 10^1
2.59 x 10^9
6.694 x 10^8
6.694 x 10^9
Answer:
D. 6.694 * 10^9
Step-by-step explanation:
The exponent is 9 because the result of the first equation had 9 digits. It is positive because the decimal moves to the right.
The blue dot is at what value on the number line -16 to -10
Pls help! Slope Question
The slope between points C and D is 12/7 = 1.71
How to find the slope between points C and D?
We know that the slope between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by:
s = (y₂ - y₁)/(x₂ - x₁)
In this case, the coordinates of point C are (0, 0)
The coordinates of point D are (7, 12)
Then the slope on that interval is:
s = (12 - 0)/(7 - 0) = 1.71
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Find 6y + 10z - 2yz, use y=2 and z=3
Answer:
30
Step-by-step explanation:
6(2) + 10(3) - 2(2)(3)
12 + 30 - 2(6)
42 - 12
30
The value of the expression 6y + 10z - 2yz when y = 2 and z = 3 is 30.
What is the value of the expression when y=2 and z=3?Given the expression in the question:
6y + 10z - 2yz
y = 2
z = 3
To determine the value of the expression 6y + 10z - 2yz, we simply substitute y = 2 and z = 3 into the expression and then simplify.
6y + 10z - 2yz
Plug in y = 2:
6( 2 ) + 10z - 2(2)z
Plug in z = 3:
6( 2 ) + 10( 3 ) - 2(2)(3)
Simplifying, we get:
12 + 30 - 12
Add 12 and 30:
42 - 12
Subtract 12 from 42:
30
Therefore, the value of the expression is 30.
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Which values, when substituted for x in the expression _/x , will result in an irrational number? Select all that apply.
The values, which when substituted for x in the expression √x , would result in an irrational number are:
x = 168x = 2x = 8x = 21x = πThe types of numbers.In Mathematics, there are six (6) common types of numbers and these include the following:
Natural (counting) numbersWhole numbersRational numbersIrrational numbersReal numbersIntegersWhat is an irrational number?An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 168, 2, 8, 21, π, 11.
In conclusion, when a perfect square or 4 is substituted for x in the expression √x, the result is not an irrational number because it is neither a terminating nor a repeating decimal.
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Complete Question:
Which values, when substituted for x in the expression √x, will result in an irrational number? Select all that apply.
x = 168
x = 2
x = 8
x = 21
x = π
x = 4
when x is a perfect square.
If z=30 when x=3 and y=2 , write the function that models the relationship.
z varies directly with x and inversely with y .
z = 20 x/y is the variation of equation.
How to write the function that models the relationship?A relationship between a set of values for one variable and a set of values for other variables is known as a variation.
One of the most fundamental concepts in mathematics is the idea of a function, in part because functions are a useful tool for describing and illuminating patterns.
given that
z=30 when x=3 and y=2
z varies directly with x that means z is directly proportional to x.
z = kx .................(1)
z varies inversely with y means z is inversely proportional to y.
z = k 1/y ................(2)
both equation 1 and 2
z = k x/y
k = zy/x
now, find the value of k using given information.
k = 30(2)/3
k = 60/3
k = 20
now,
z = k x/y
z = 20 x/y
This is the variation of equation.
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Notes:
For semiannual premiums, use 51% of the annual rate.
For quarterly premiums, use 26% of the annual rate.
For monthly premiums, use 9% of the annual rate.
For females, use the age of a male three years younger.
Will C. Lowe wishes to purchase an ordinary whole life insurance policy with a face value of $50,000. What will his annual premium be, if his age for insurance purposes is thirty-one?
(Use a thousands comma where applicable.)
The annual insurance premium that Will C. Lowe will be paying is $ 766.5
What is insurance premium?Insurance premium is annual, quarterly, semi annual or monthly payments that has to be paid accordingly to keep our insurance policy active.
Annual insurance premium can be calculated by multiplying the face value per $1000 of the policy by the rate of the insurance of policy.
Given is that Will C. Lowe is 31 year old male who wants to buy a ordinary whole life insurance policy with a face value of $50,000.
From the table we can see that rate of insurance for a 31 year old male for a ordinary whole life insurance policy is 15.33
Then annual premium = (face value per $1000)*(rate of insurance)
= $ (50,000/1000)*(15.33) = $766.5
Therefore, the annual insurance premium that Will C. Lowe will be paying is $766.5
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help plss
In the figure, AC=86. Find BC.
Michael is doing an underwater handstand. His feet are sticking up 0.5 meters above the surface
hands are 1.8 meters directly below his feet.
of the water. Michael's
What is the position of Michael's hands relative to the surface of the water?
Answer:
Step-by-step explanation:
Answer:
michael is doing an underwater handstand . His feet are sticking up 0.5 meter above the surface handsare 1.8 meters directly below his feet of the water
michael handsrelative to the surface of the water
Step-by-step explanation:
1. Solve for x:
1/3x = -26
I which of the numbers
are solutions to the
equation x² = 100? Select all that apply.
-10,000
-50
-10
0
10
50
10,000
The numbers that fits into the equation X² = 100 are -10 and 10.
How to illustrate the information?It should be noted that squares simply means multiplying a number by itself.
In this case, X² = 100.
Therefore, the numbers that fits X will be:
X² = 100
Square root both sides
X = ✓100
X = 10
Also, it should be noted that (-10)² = 100
Therefore, the numbers that fits into the equation X² = 100 are -10 and 10.
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