What is the equation for the line of reflection?
X equals 3, Y equals 3, Y equals X, X Equals six
Answers
Answer:
i believe it is y=x
Step-by-step explanation:
Answer: C. y equals x
Step-by-step explanation: The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on.[28] The Egyptians used Egyptian fractions c. 1000 BC. About 4000 years ago, Egyptians divided with fractions using slightly different methods. They used least common multiples with unit fractions. Their methods gave the same answer as modern methods.[29] The Egyptians also had a different notation for dyadic fractions in the Akhmim Wooden Tablet and several Rhind Mathematical Papyrus problems.[citation needed]
The Greeks used unit fractions and (later) continued fractions. Followers of the Greek philosopher Pythagoras (c. 530 BC) discovered that the square root of two cannot be expressed as a fraction of integers. (This is commonly though probably erroneously ascribed to Hippasus of Metapontum, who is said to have been executed for revealing this fact.) In 150 BC Jain mathematicians in India wrote the "Sthananga Sutra", which contains work on the theory of numbers, arithmetical operations, and operations with fractions.
A modern expression of fractions known as bhinnarasi seems to have originated in India in the work of Aryabhatta (c. AD 500), Brahmagupta (c. 628), and Bhaskara (c. 1150). Their works form fractions by placing the numerators (Sanskrit: amsa) over the denominators (cheda), but without a bar between them. In Sanskrit literature, fractions were always expressed as an addition to or subtraction from an integer. The integer was written on one line and the fraction in its two parts on the next line. If the fraction was marked by a small circle or cross, it is subtracted from the integer; if no such sign appears, it is understood to be added.
Related Questions
what is the slope of the shown below?
Answers
The slope would be 4 because you can take the 2 points, (3,6) and (1,-2) and apply the formula (y2-y1)/(x2-x1).
When applied, it would look like this:
-2-6/1-3
This would result in -8/-2 which equals 4.
Find c. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
[tex]\theta =cos^{-1}\left(\frac{90^2+55^2-50^2}{2(55)90}\right)\\ \\ \theta =cos^{-1}\left(\frac{8625}{9900}\right)\\ \\ \theta =2.9^o[/tex]
Answer:
29.4
Step-by-step explanation:
Given that slope = -1 and a point (3,-1), write an equation in slope-intercept form of the line?
Answers
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
Answer:
y = -x + 2
Step-by-step explanation:
We are given that a line has a slope of -1 and passes through the point (3, -1)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are already given the slope, we can immediately plug its value into y=mx+b.
Replace m with -1 in y=mx+b.
y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).
Now we need to find b.
As the equation passes through the point (3, -1), we can use it to help solve for b.
Substitute 3 as x and -1 as y.
-1 = -3 + b
Add 3 to both sides
2 = b
Substitute 2 as b in the equation so far.
y = -x + 2
Topic: finding the equation of the line (in slope-intercept form).
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The cost of soda is $2.00 and the cost of candy is $1.50. You have $15 in your wallet. How much of each item can you purchase?
Answers
Answer:
4 soda's and 4 candy's with 1 dollar left over
Someone tell me is this 1/5
Answers
Answer:
4/15
Step-by-step explanation:
3/5-1/3
9-5/15
=4/15
I ain't really sure
Use slope to determine whether the lines AB and CD are parallel, perpendicular, neither, or the same line for the points: A (3,5), B(−2,7), C(10,5), D(6,15)
Answers
Answer: your answer would be A
Step-by-step explanation:
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
slope of AB x slope of CD = 1
The lines are on the same line.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A (3,5), B(−2,7), C(10,5), D(6,15).
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
The line AB.
Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5
The line CD.
Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2
Now,
slope of AB x slope of CD.
= -2/5 x -5/2
= 1
This means,
The lines are on the same line.
Thus,
slope of AB x slope of CD = 1
The lines are on the same line.
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Write an exponential function in the form y=ab^x that goes through points (0,7) and
(9, 3584).
Answers
Answer:y=7(2)^x
Step-by-step explanation:
The exponential function in the form y=ab^x that goes through the given points is f(x) = 7(2)ˣ.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
The general form of exponential function is,
f(x) = abˣ
The function passes through (0,7) and (9, 3584).
Substituting (0, 7),
7 = a b⁰
7 = a (since b⁰ = 1)
So, a = 7
Function is f(x) = 7bˣ
Now Substituting (9, 3584),
3584 = 7 b⁹
b⁹ = 3584 / 7
b⁹ = 512
b⁹ = 2⁹
b = 2
So the function is f(x) = 7(2)ˣ
Hence the function is f(x) = 7(2)ˣ.
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At a store, apples cost each and oranges cost each. Harry buys some apples and oranges and spends . He buys a total of pieces of fruit.
Answers
Answer:
Number of apples = 6
Number of oranges = 5
Step-by-step explanation:
At a store, apples cost $0.80 each and oranges cost $0.95 each. Harry buys some apples and oranges and spends $9.55. He buys a total of 11 pieces of fruit.
Let
Number of apples = x
Number of oranges = y
x + y = 11 (1)
0.80x + 0.95y = 9.55 (2)
From (1)
x = 11 - y
Substitute into (2)
0.80x + 0.95y = 9.55 (2)
0.80(11 - y) + 0.95y = 9.55
8.8 - 0.80y + 0.95y = 9.55
- 0.80y + 0.95y = 9.55 - 8.8
0.15y = 0.75
y = 0.75/0.15
y = 5
Substitute y = 5 into (1)
x + y = 11 (1)
x + 5 = 11
x = 11 - 5
x = 6
Number of apples = 6
Number of oranges = 5
HELP 50 POINTS!!
Please explain if possible
f(x) = 5719(0.28)^x
Determine how many cats there will be after 5 years
Answers
Answer:
There will be 10 cats in 5 years
Step-by-step explanation:
Since x means the number of years, x = 5
According to PEMDAS, we take care of the exponents first
So the exponent is x, so the exponent is actually 5
So we apply that to 0.28
0.28^5 = 0.002
0.002 x 5719 = 9.84
But... that would be impossible and just plain creepy if there were 9.84 cats lol
So I rounded it to 10 cats
Answer:
[tex]\Large\boxed{\sf 10 \ cats}[/tex]
Step-by-step explanation:
[tex]f(x) = 5719(0.28)^x[/tex]
[tex]\sf Where \ x=5[/tex]
[tex]f(5) = 5719(0.28)^5=10[/tex]
F(x)=2x-10 when x=-3, 0, and 8.
Answers
Answer:
2x=10
Step-by-step explanation:
f(x) = -3(x - 11)(x + 1)
Answers
Answer:
Step-by-step explanation:
Can someone help me with this please?
Answers
Solve for x in the partial spiral below.
Answers
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
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Find the equation line
Answers
Answer:
sorry I don't know
Step-by-step explanation:
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550 visitors paid for admission to Hope State Park during one week. Of those 550 visitors, 3/5 of them purchased guide books. How many visitors purchased guide books?
Answers
Answer:
the number of visitors purchased guide books is 330 visitors
Step-by-step explanation:
The computation of the number of visitors purchased guide books is shown below;
= Number of visitors × visitors purchased guide books
= 550 × 3 ÷ 5
= 330
Hence, the number of visitors purchased guide books is 330 visitors
Solve the two-step equation and identify the steps. 94 points
2 = − 7
4
+ 1
4
x
1.
Subtract
StartFraction 7 over 4 EndFraction to both sides.
2.
by 4.
The solution is x =
.
Answers
Answer:
Step-by-step explanation:
Can you like put the equation together it looks highly confusing
The solution for the given equation is 15.
The given equation is 2 = -7/4 + 1/4 x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 2 = (-7+x)/4
2×4 = -7+x
8 = -7+x
x = 8+7
x = 15
Therefore, the solution for the given equation is 15.
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The diameter of a circle is 6 cm find the circumference to the nearest tenth
Answers
Answer:
28.3
Step-by-step explanation:
If this answer helped you then please like this and consider marking it as brainliest :)
Answer:
18.85 cm
Step-by-step explanation:
Help! Need by 10:30 to turn in and I'm confused!
When Anthony contracted the flu, he needed tissues and cough drops. Each box of tissues cost $1.69 and each bag of cough drops cost $1.19. By the time he was well again, he had gone through a combined 13 boxes of tissues and bags of cough drops, and he had spent $19.47. How many boxes of tissues did he use? How many bags of cough drops?
Answers
Answer:
8 boxes of tissues
5 bags of cough drops
Step-by-step explanation:
You need to write a system of equations.
x = number of tissue boxes
y = number of cough drop bags
x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.
So, your first equation is
x + y = 13
Then, you need to write the second equation.
(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]
That's a lot to read, so here's the equation simplified!
1.69x + 1.19y = 19.47
Now, you have two equations:
x + y = 13
1.69x + 1.19y = 19.47
I would solve with the substitution method.
the first equation can be changed to x = 13 - y by subtracting y from both sides.
Then, your two equations are:
x = 13 - y
1.69x + 1.19y = 19.47
Now, you can plug in that value of x into the second equation!
1.69(13 - y) + 1.19y = 19.47
21.97 - 1.69y + 1.19y = 19.47
subtract 21.97 from both sides
-1.69y + 1.19y = -2.5
Add the y values
-0.5y = -2.5
divide both sides by -0.5
so, y equals 5 bags of cough drops
now that you know what y equals, plug it back into your original equation to find x!
x + y = 13
plug in y
x + 5 = 13
x = 8
so, x = 8 boxes of tissues
Hope this helps! Let me know if you have any questions!
can someone help me
Answers
Answer:
6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
So we know that:
5x-10 = 20
5x=20+10
5x=30
x=6
hope this helps :)
Which is the correct algebraic expression for "6 less than 3 times a number?
Answers
Answer: [tex]\huge\boxed{\ m=7 }[/tex]
Step-by-step explanation: We can break this problem down to understand it. Let the number be m. Three times the number 'm ' is 3.m or 3m. 3 ( m ) - 6 = 15. 3m -6 = 15 add 6 to both sides; 3m -6 + 6 = 15 + 6 3m = 21 dividing both the sides by 3 ,and we get; 3m /3 = 21 / 3 m=7 .
Best of Luck!
Can someone help me with Geometry?
Answers
Answer:
6x + 2 is your answer I THINK
Complete the input-output table that represents the linear function y=-4x+10
Answers
Answer: 6
Step-by-step explanation: the table is going down by 4 so the next number is 6
A teacher Ask for students To write three side lengths that will not make a triangle and describe why.
Answers
Answer:
2, 5, 9
Step-by-step explanation:
The two shorter sides added together must be longer than the third side or they cannot make a triangle.
which is the slope of a line that is perpendicular to the line that passes through the points (29, 24) and (3, 4)?
Answers
Answer:
26/20
Step-by-step explanation:
y2-y1 divided by x2-x1
4-24= -20
3-29= -26
-20/-26= m
perpendicular means to switch the numbers and change the sign
a perpendicular slope to -20/-26 is 26/20.
the question is in the photo :)
Answers
Answer:
∠ GJK = 22°
Step-by-step explanation:
∠ HJI = ∠ JHG ( alternate angles ), then
7x - 16 = 5x + 8 ( subtract 5x from both sides )
2x - 16 = 8 ( add 16 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12 , so
∠ KJI = 7x - 16 = 7(12) - 16 = 84 - 16 = 68°
Then
∠ GJI = 90° ( vertex of a rectangle )
∠ GJK = 90° - 68° = 22°
Please help me in this! I need to submit it fast.
Answers
Answer:
y=3.5x
Step-by-step explanation:
Since when x is 0 when y is 0, there is no y-intercept. The ratio with the other values gives the equation y=3.5x, because y is 3.5 times larger than x.
The graphs below have the same shape. What is the equation of the red graph?
g(x)= ?
f(x) = x2
g(x) =
A g(x) = x - 2
B. (X) = (x - 2)2
O c. lx) = 8+2
D. g(x) = (x + 2)2
Answers
Answer:
C is the answer
Step-by-step explanation:
The equation of the red graph is [tex]x^{2} +2[/tex].
What is the equation of parabola whose vertex is (h, k)?The equation of the parabola whose vertex is (h, k) is
[tex]y = a(x-h)^{2} + k[/tex]
According to the given question.
We have a graph for the function f(x) and g(x).
[tex]f(x) =x^{2}[/tex]..(i)
⇒ the equation of parabola whose vertex is (0, 0)
Since, we know the standard form of the equation of parabola is
[tex]y = a(x-h)^{2} +k[/tex]
Substitute h = 0 and k = 0 in the above equation.
⇒ [tex]y = a(x-0)^{2} +0[/tex]
⇒ [tex]y = ax^{2}[/tex]..(ii) (where, y = f(x))
On comparing the first two equations we get a = 1.
From the graph we can see that g(x) is a equation of parabola, whose vertex is (0, 2).
Therefore, the equation for red graph is given by
[tex]g(x) =a(x-0)^{2} + 2[/tex]
[tex]g(x) = 1x^{2} +2[/tex] (because a = 1)
⇒ [tex]g(x) = x^{2} +2[/tex]
Hence, option c is correct.
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please help pls pls pls
Use the drop-down boxes to show a function in the form y = mx + b for the line that contains the points (-6.4, -2.6) and (5.2, 9).
Answers
Multiply (4x - 3)(5x + 2) using the area model.
Answers
Answer:
[tex]20x^{2}[/tex]-7x-6
Step-by-step explanation:
Please , I’m so bad at math help on how to find the answers would be nice
Answers
Answer:
2nd one is 4.48
Step-by-step explanation: