Will mark Brainliest!!!!! Suppose A, R, and B are collinear on AB, and
AR: AB = 1/4 What are the coordinates of R?
Please give explanation
Answers
Answer:
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]AR:AB = 1:4[/tex]
Required
Determine R
This question will be solved using line ratio formula
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]
Where
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]m:n = AR : RB[/tex]
Since R is on A and B;
[tex]AB = AR + RB[/tex]
[tex]4 = 1 + RB[/tex]
[tex]RB = 3[/tex]
Hence;
[tex]m:n = 1 : 3[/tex]
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes
[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]
[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Related Questions
does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers
Answers
Answer:
Whole Numbers
Step-by-step explanation:
whole numbers are just the counting numbers starting from zero: 0,1,2,3...
integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...
rational numbers are any numbers that can be expressed as fractions:
2/3, 5, -3, -12/3,4,5,0....
irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.
Hope this helps!
Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)
Answers
Answer: -17+3x
step by step:
4-3x3-11x2+3x+10
4-9-11x2+3x+10
4-9-22+3x+10
-17+3x
Solve the equation 1/4(x+2)+5=-x
Answers
Answer: Exact Form:
x=−225
Decimal Form:
x=−4.4
Mixed Number Form:
x=−4/25
Step-by-step explanation:
Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)
Answers
find the solution of 4t - 2 = 9
Answers
Answer:
t = 11/4
Step-by-step explanation:
Step 1: Write out equation
4t - 2 = 9
Step 2: Add 2 on both sides
4t = 11
Step 3: Divide both sides by 4
t = 11/4
Answer:
[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]
Step-by-step explanation:
[tex]4t -2 =9[/tex]
Collect like terms and simplify
[tex]4t=9+2\\\\4t =11[/tex]
Divide both sides of the equation by 4
[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]
I need help and can u explain how to do it please and thank u
Answers
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]
π[tex]6^{2}=113.0973355[/tex]✦ Round:
[tex]113.0973355=113.1[/tex]So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Answer:
yes ion think u need my help
Step-by-step explanation:
Find the volume of the prism.
Please help hurry
14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
Enter
Answers
Step-by-step explanation:
3x3 2/5 also 3.4 x 1 1/4 or 1.25=?
3x3.4= 10.2
10.2x1.25=12.75
Simplify:
(-2x + y - 4)-(-3x – 2y)
A. x - y - 4
B. x + 3y - 4
C. -5x + y - 4
D. -5x + 3y - 4
Answers
Answer:
B
Step-by-step explanation:
-2x + y - 4 - - 3x - - 2y That distribuates the minus sign in front of the second set of brackets.
-2x + y - 4 + 3x + 2y
x + 3y - 4
That looks like B
The balanced scale represents the equation: 4x + 2 = x + 5
If one x block is subtracted from the right side and two numbered blocks are subtracted from the left side. What process will balance the scale?
Answers
Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side
Step-by-step explanation:
what is one and three hundred twenty-four thousand in decimal
Answers
Answer:
1.324
Step-by-step explanation:
"and" is basically the decimal
Answer:
.32400
Step-by-step explanation: just cs
Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is (Simplify your answer.) B. There is no solution.
Answers
Answer: Choice A, x=-4
Step-by-step explanation:
1. 9x−(3x+9)=2x−25
2. 9x-3x-9=2x-25
3. 6x-9=2x-25
4. 6x-9=2x-25
-2x -2x
5. 4x-9=-25
+9 +9
6. 4x=-16 (divide both sides by 4)
7. x=-4
Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximately
inches. Enter only the number.
Answers
Answer:
A = 379.94 square inches
Step-by-step explanation:
The area of a circle equation is:
A = pi * r^2
Fill in what you know and solve:
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94
The area of the circle is 379.94 square inches.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the area of a circle with a radius of 11 inches.
Here, area of a circle is
A=3.14×11²
= 3.14×121
= 379.94 square inches
Therefore, the area of the circle is 379.94 square inches.
Learn more about the area of a circle here:
brainly.com/question/28642423.
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Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
a)Manny rode his bike for 3 hours. How far did he travel?
b)Manny rode his bike for 1.5 hours. How far did he travel?
Answers
Answer:
A. 54 miles B. 27 miles for the bikeathon
A) 54
B) 27
Trust me
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.
Answers
Answer:
H0: sigma=12
H1:sigma≠12
This hypothesis test is a two tailed test.
Step-by-step explanation:
The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.
Find the S20 of this series
2, 6, 18,..
Answers
The first term in our sequence = 2
The common ratio = 6 / 2 = 3
n = the term we want to find.
2 * (3)^(n - 1)
2 * (3)^(20 - 1)
2 * (3)^(19)
2 * 1162261467
2324522934 is the 20th number in the series.
Determine the table of values for these simultaneous equations.
5 x + y = 7
3 x - y = 1
Answers
Step-by-step explanation:
5x + y = 7 ...1
3x - y = 1 ...2
...1 + ...2
5x + y + 3x - y = 7 + 1
8x = 8
x = 8/8
x = 1
85° 80° 100° x°
How do I do this?
Answers
Answer:
x = 95 degrees
Step-by-step explanation:
if you add the two angles that are right across each other, it should equal 180 degrees, so you subtract 180 and 85 to get 95 degrees
Which of these integers is not a whole number? A. -6 B. 6 C. 66
Answers
Answer:
-6
Step-by-step explanation:
Cuz it’s negative?
Answer:
-6 I think
Negative numbers are not whole numbers.
Solve
-6y + 4 = |4y + 12|
Answers
Answer:
[tex]y = - \frac{4}{5} [/tex]
Five less than one half of a number is 18.
Answers
Answer:
x/2 - 5 = 18
Step-by-step explanation:
he grocery store has bulk pecans on sale, which is great since you're planning on making 5 pecan pies for a wedding. How many pounds of pecans should you buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). You will need to buy pounds of pecans.
Answers
You Need to Find out how much Pecans each pie Will need
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?
Answers
Answer:
Step-by-step explanation:
The exact result is 1.0518984 x 1011 Minutes
(sorry if this doesn't make much sense)
The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes
Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days = 200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes
Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.
Learn more about arithmetic here:
brainly.com/question/14753192
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after measurements or observation are made in a scientific investigation. it is most appropriate to what?
Answers
Answer:
Once you collect your measurements, the next step would be to analyze them to see if they support your hypothesis or not.
If you find your predictions to be inaccurate and your hypothesis was not supported, go back, make another hypothesis and redo the experiment.
Marc is creating a rectangular garden in his back yard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answers
Answer:[12,20]
Step-by-step explanation:
The value of width will be from 12 to 20.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
Marc is creating a rectangular garden in his backyard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet.
Then the inequality is given as,
60 < 2(W + 18) < 76
Simplify the inequality, then the value of the width W will be
60 < 2(W + 18) < 76
30 < (W + 18) < 38
12 < W < 20
Thus, the value of the width will be from 12 to 20.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
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Paige's backyard is rectangular. It has a
length of 50 yards and a width of 80 feet.
Find the perimeter of Paige's backyard
using the correct number of significant
digits.
Answers
Answer:
probably 130
Step-by-step explanation:
well your gonna need to add both numbers together to see the out come of the answer
which statement is true about this equation?
y = -3x^2 + 4x - 11
a) it represents a function only
b) it represents a relation only
c) it represents both a relation and a function
d) it represents neither a relation nor not function
Answers
Answer:
C
Step-by-step explanation:
it represents both a relation and a function
Answer:
The correct answer is C. It represents both a relation and a function.
Step-by-step explanation:
I got it right on the Edmentum test.
Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch
Answers
Answer:
He spends 8 dollars
Step-by-step explanation:
4 + 4 = 8
Hopefully this helps you :)
pls mark brainlest ;)
Zeros at the end of the multiplier and/or multiplicand are never attached to the product.
Answers
Answer:
False
Step-by-step explanation:
Sonya has a books. Nick has 3 more books than Sonya. How many books do both children have together?
Answers
Answer:
[tex]2a+3[/tex] books
Step-by-step explanation:
Sonya -> [tex]a[/tex] books
Nick -> [tex](a+3)[/tex] books
Total: [tex]a+(a+3)=a+a+3=2a+3[/tex]
In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a
dog and a cat. How many children had neither a dog nor a cat as a pet?
A.37 B.19 C.12 D.31
Answers
Answer: the answer would be 7 because:
Step-by-step explanation:
you have to add 22, 18, and 6 to each other.
22+18=40+6=46
Then you subtract 46 from 53.
53-46=7