The equation of the line is x-y=0
What is point of intersection?
A point of intersection is a point where two lines intersect.
We are given the two equations as x-y=0 and x+y=0
The point of intersection can be given by finding the coordinates of which will satisfy both the equation
Now the equation can be solved by
The point of intersection is (0,0)
We have to find the equation of the line passing through the point (0,0),(2,2)
This can be done by
[tex]\frac{y-0}{0-2}=\frac{x-0}{0-2}[/tex]
[tex]\frac{-y}{2}=\frac{-x}{2}[/tex]
[tex]x-y=0[/tex]
Hence the equation of the line passing through the point of intersection of x-y=0 and x+ y=0 and (2,2) The equation of the line is x-y=0
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The bedroom floor is a 9-foot-by-12-foot rectangle. Carpeting is sold by the square yard. Carpeting costs $22 per square yard, How much will the carpet cost?
Answer: $2376
Step-by-step explanation:
First, get the area of the rectangle by using the formula L * W
9 * 12 = 108 feet squared
Now, that you have the area you can multiply that since each square yard is $22 so you do
108 * 22 = 2376
Which is $2376
I need help with #4, I don't get it.
Answer: Dilation, scale factor of 2.
Step-by-step explanation: The scale factor would be the number we multiply the 4 by 6 rectangle to get the 8 by 12 rectangle print.
Since we start with a rectangle with a length of 6 and a width of 4, and the measurements are changed to 8 and 12, we know the scale factor is 2. The scale factor is two because 4 • 2 is 8, and 6 • 2 is 12. Out of the transformations, (reflection, rotation, translation, dilation) the only one that includes a scale factor would be dilation. We also know it’s a dilation since the print is getting larger, and the pre image and image are not the same.
i need some help 4/5t+150
Answer:
2/5(2t+125)
Step-by-step explanation:
if factorization,then this is the ans
4/5t+150
2/5(2t+125)
rewrite y=(x+1)^2-3 in standard form
Answer:
y=x2+2x-2
Step-by-step explanation:
hope this work have a nice day
Laws of Exponents Solve and put your answers into the blue boxes (put the Exponent into the smaller one). If you are correct part of the mystery picture will be revealed. If you are incorrect the wrong color will appear! Once you have finished all the questions you have the option to highlight any mistakes.
8⁶ ÷ 8⁷ = (5²)⁹ =
9⁸ ÷ 9⁴ = (2⁶)² =
6⁵ · 6² = 2³ ⋅ 2² =
(7⁸)³ = 4⁵ ÷ 4³ =
(5⁶)⁴ = 5⁷ ÷ 5⁸ =
2⁶ · 2⁷ = 3⁵ ⋅ 3³ =
8⁴ · 8⁹ = (7⁵)⁶ =
9³ ÷ 9⁹ = 2² ÷ 2⁸ =
(5⁷)⁴ = 7⁹ ÷ 7⁴ =
9³ ÷ 9⁴ = 9⁴ ‧ 9⁴ =
Laws of Exponents Solve and put your answers into the blue boxes (put the Exponent into the smaller one). If you are correct part of the mystery picture will be revealed. If you are incorrect the wrong color will appear! Once you have finished all the questions you have the option to highlight any mistakes.
8⁶ ÷ 8⁷ = (5²)⁹ =
9⁸ ÷ 9⁴ = (2⁶)² =
6⁵ · 6² = 2³ ⋅ 2² =
(7⁸)³ = 4⁵ ÷ 4³ =
(5⁶)⁴ = 5⁷ ÷ 5⁸ =
2⁶ · 2⁷ = 3⁵ ⋅ 3³ =
8⁴ · 8⁹ = (7⁵)⁶ =
9³ ÷ 9⁹ = 2² ÷ 2⁸ =
(5⁷)⁴ = 7⁹ ÷ 7⁴ =
9³ ÷ 9⁴ = 9⁴ ‧ 9⁴ =
Answer:
1. 5¹⁸2. 2¹²3. 2⁶4. 4²5. 5¹ or 56. 3⁸7. 7³⁰8. 1/329. 7⁵10. 9⁸Please help. This is due soon
Answer:
No, because a triangle will have to add up to 180 degrees. And if the two angles are already set for both triangles, there is only one answer that will make these triangles equal 180 degrees. So no there is no way possible.
Step-by-step explanation:
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
Answer:
1/3
Step-by-step explanation:
just took the quiz
"Complete the table" can i get some help with this pls and ty
Here is the completed table:
Feet 3 6 9 18 21
Yard 1 2 3 6 7
How to complete the table?The mathematical operations that would be used to solve this question are multiplication and division. Multiplication is the process that is used to determine the product of two or more numbers. Division is the process of determining the quotient of two or more numbers.
The first step is to determine the unit of conversion of yards to feet and feet to yards.
Unit of conversion of yards to feet = 9 / 3 = 3
Unit of conversion of feet to yards = 3/9 = 1/3
This means that: 1 yard = 3 feet
1 feet = 1/3 yards
3 feet = 3/3 = 1 yard
6 feet = 6 / 3 = 2 yard
6 yard = 6 x 3 = 18 feet
7 yard = 7 x 3 = 21 feet
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!!SOMEONE HELP!!
Please give me the right answer. :(
The ratio between cups of beans and cups of rice is 10/13.
Given the recipe calls for 2 1/2 cup
covert it into proper fraction = 5/2 cups
also the recipe contains 3 1/4 cups of rice.
convert it into proper fraction = 13/4 cups.
now, 5/2 : 13/4
cross multiply.
20/26
simplify the expression.
10/13
Hence the ratio of beans to rice is 10/13.
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True or False? The distribution whose five-number summary is shown below
has at least one outlier.
21.7, 55.3, 73.4, 89.3, 140.1
A. True
• B. False
Answer: Yes
Step-by-step explanation: 140 is an outlier
Given: c || d, <1 = <7
Prove: a || b
(PLEASE HELP IM REFERRING TO QUESTION 5 ON THE IMAGE)
Prove that a || b
What is Angles?
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Given,
c || d
<1 = <7
We have to prove a || b
∠1 = ∠5 corresponding angles of lines a and b
∠1 = ∠4 are alternate interior angles of lines a and b
∠5 = ∠7 corresponding angles of lines a and b
∠3 = ∠7 corresponding angles of lines a and b
Therefore, a || b by converse corresponding angle theorem
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If you can solve this I will give you 100 points!
3x+1
Answer:
The 3x + 1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.
the 3X + 1 problem has appeared in various forms. It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it
Step-by-step explanation:
The 3x+1 problem concerns an iterated function and the question of whether it always reaches 1 when starting from any positive integer. It is also known as the Collatz problem or the hailstone problem
Answer:
Step-by-step explanation:
3x+1=0 /-1
3x=-1 /:3
x=-1:3
If you mean:
y = 3x+1 or f(x) = 3x+1
The graph shows the four quadrants of the coordinate plane.
Point AAA is located at (-5, 7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis.
Complete the statement.
Point AAA has an xxx-coordinate that is
and a yyy-coordinate that is
, so the point is located
The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
The coordinate point is:
(-5, 7)
As we know from the definition of the ordered double:
(x, y) represents the ordered double on the coordinate plane:
x = -5
y = 7
x < 0 and y > 0
The point is located on the Quadrant II
Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.
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2,5X+10=15
Solve please
Answer:
x = 2
Step-by-step explanation:
assuming you mean
2.5x + 10 = 15 ( subtract 10 from both sides )
2.5x = 5 ( divide both sides by 2.5 )
x = 2
please help cont figure it out
On a map, a road is 6 1/2
inches long. If the scale is 1/4
inch equals 1 mile, how many miles is the actual road?
Answer:
The answer is 26 miles
Step-by-step explanation:
Ever .25 of an inch is 1 mile to multiply 6 by 4 and you'll get 24 and add 2 miles for the .5 .
Multiply the Polynomials:
(2x+3) (-x+2y-4)
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
How to multiply the polynomials?The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
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BRAINLIEST!!! SOLVING LITERAL EQUATIONS!
Answer:
(1) x=BC (2) h=A+-πr^2 (3) ef+-ab (4) x=y+-3 (5) x=C+-B
2πr d A
Step-by-step explanation:
See above
If (a + b)² = 37 and ab = 5, what is
a² + b²?
A) 37
B) 32
C) 27
D) 5
cond
Answer:
Step-by-step explanation:
(a + b)² = 37
a^2 + 2ab + b^2 = 37
---
ab = 5
a = (5/b)
----
a^2 + 2ab + b^2 = 37
(5/b)^2 + 2(5/b)b + b^2 = 37
(25/b^2) + 10 + b^2 = 37
(25/b^2) + b^2 = 27
25 + b^4 = 27b^2
b^4 - 27b^2 + 25 = 0
I don't know how to factor this expression. The roots seem complex.
The graph shows the proportional relationship between grams of protein and cups of milk. a. What is the constant of proportionality for the relationship between grams of protein and cups of milk? b. What does the point (0,0) mean in this situation? c. What does the point (4, 32) mean in this situation? Protein (grams)
a. The constant of proportionality for the relationship is: k = 8.
b. 0 cups of milk will give 0 grams of protein
c. 2 grams of protein are in 4 cups of milk.
How to Find the Constant of Proportionality of a Relationship?To find the constant of proportionality (k) use any point on the graph, (x, y), and find k = y/x.
a. Using a point on the given graph, (1, 8):
The constant of proportionality, k = y/x = 8/1
The constant of proportionality, k = 8
b. (0, 0), in the situation means that 0 cups of milk will provide 0 grams of protein. This is also the point of origin.
c. In this situation, what the point (4, 32) means is that 32 grams of protein are in 4 cups of milk.
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There are 198,714 people living in Belleville. What is the number of people rounded to the nearest ten thousand?What digit is in the ten thousands place?Which place is used to decide which way to round the ten thousands place?What is the digit in this place?Should you round the number in the ten thousands place up or down?What happens when you round up a 9?What do you do when the value of a place is 10 or more?What is the value of the ten thousands place when the number is rounded to the nearest tenthousand?What is 198,714 rounded to the nearest ten thousand?What is 302,895 rounded to the nearest thousand?What is 7,142 rounded to the nearest ten?Round 24,793 to the nearest hundred.?
198714 to the nearest ten thousand:
[tex]198714\approx200000[/tex]The digit in the ten thousands place is:
[tex]9[/tex]Which place is used to decide which way to round the ten thousands place:
The second place from the left
--------------------------------
302895 to the nearest thousand:
[tex]303000[/tex]7142 to the nearest ten:
[tex]7140[/tex]24793 to the nearest hundred:
[tex]24800[/tex]Sketch a graph to match each description.
a. Increasing slowly at a constant
rate, then stagnating, then
decreasing rapidly at a constant rate
Let's sketch the graph.
Why do we need a graph?Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.
Given,
a. Increasing slowly at a constant rate,
b. stagnating, and
c. decreasing rapidly at a constant rate
See the image below which match all the description mentioned in question.
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Find the value of x that will solve the equation. 9x^2+25=0. Please show work.
Answer:
[tex]\sf x = + \dfrac{5}{3}i ; \ \dfrac{-5}{3}i[/tex]
Step-by-step explanation:
Solving the equation:9x² + 25 = 0
9x² = -25
[tex]\sf x^2= \dfrac{-25}{9}\\\\ i^2 = -1 \\\\x^2=\dfrac{25}{9}i^2\\\\x=\sqrt{\dfrac{25}{9}i^2}\\\\[/tex]
[tex]\sf x = \± \dfrac{5}{3}i[/tex]
Answer:
x = ±(5/3)i
Step-by-step explanation:
- Consider a general quadratic equation ax² + bx + c = 0
- Using the bulldozer method;
[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
- Relating 9x² + 25 = 0
a is 9b is 0c is 25[tex]{ \tt{x = \frac{ - 0 \pm \sqrt{ {0}^{2} - (4 \times 9 \times 25)} }{(2 \times 9)} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 900} }{18} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 1 \times 900} }{18} }}[/tex]
- From complex numbers, -1 = i²
[tex]{ \tt{x = \frac{ \sqrt{ {i}^{2} \times 900} }{18} }} \\ \\ { \tt{x = \frac{30i}{18} }} \\ \\ { \tt{x = \pm \frac{5}{3}i }}[/tex]
Or:
[tex]{ \tt{9 {x}^{2} + 25 = 0 }} \\ { \tt{9 {x}^{2} = - 25}} \\ \\ { \tt{ \sqrt{x}^{2} = \sqrt{ - \frac{25}{9} } }} \\ \\ { \tt{x = \sqrt{ - 1} \times \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ { \tt{x = \sqrt{ {i}^{2} } \times \frac{5}{3} }} \\ \\ { \tt{x = \pm\frac{5}{3} i}}[/tex]
which one is the right answer
The slope of the line for Carlo's plot represents The average change in the number of hot cocoas sold for every additional degree of the day's high temperature.
How to determine the interpretation of the slope of the line for Carlo's plotInformation given in the question include
A plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit
The data is plotted as a linear function
What is linear function ?
A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
The slope is represented as m, The slope by definition is the change of the output values to the input values
the output is hot cocoa soldthe input is high temperature in degree FahrenheitThis matches with option B
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Problem: The table shows expressions to represent the number of 8th grade students
enrolled in different electives. The number of students enrolled in Art and Music is equal
to the number of students enrolled in Band and Journalism. Write and solve an equation.
Then find the number of students enrolled in each elective.
Class
Band
Art
Music
Journalism
What are you trying to find out:
Workspace:
# of Students
2n
7n+6
4n-2
2(4n+6)
Total
Solution:
I
So, the number of students in Band, Art, Music and Journalism are 2n, 7n+6, 4n-2 and 2(4n+6) respectively.
Since the number of students enrolled in Art and Music is equal to the number of students enrolled in Band and Journalism, we have the equation
7n + 6 + (4n-2) = 2n + 2(4n+6).
We now expand the brackets :
7n + 6 + 4n - 2 = 2n + 8n + 12
-> 11n + 4 = 10n + 12
-> 11n + 4 - 10n - 12 = 0
-> n - 8 = 0
-> n = 8.
Therefore, the number of students that enrolled in :
Band : 2n = 16 students.
Art : 7n + 6 = 62 students.
Music : 4n - 2 = 30 students.
Journalism : 8n + 12 = 76 students.
76 = 16 = 62 + 30 = 92, satisfying the requirement.
Solve for g.
r= 3g+ 3w
The equation is solved below.
What is an equation?
A mathematical equation is a calculation that uses the identical sign to represent the equivalency of two variables. The definitions of the word equation and its cognates in various languages might vary slightly. For instance, in French, an equation is defined as having one or more variables, but in English, the equation would be any well-formed solution that comprises two variables linked by the assignment operator. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unidentified variables are considered as the parameters for which the equation must be calculated, and the unknown perfect blend of shades that fulfill the equivalence are known as the equation's answers. Equations come in two varieties: assumptions and conditioned equations.
Given equation
r=3g + 3w
or, 3g = r - 3w
or, g = (r - 3w)/3
or, g = r/3 - w
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S(13, 7) and T(-2, -7)what’s the midpoint
Answer:
(5.5,0)
Step-by-step explanation:
You average the x's and the y's.
x:
[tex]\frac{13-2}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5
y:
[tex]\frac{7-7}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Jack works as a math tutor. He charged a flat rate of $50 per group per class. He spends $6
for each student' s material.
(a)
y=1
Using variables x to represent the number of students in a group and y to represent the
amount he can make out of each class, write the linear function.
Answer: yo what?
Step-by-step explanation:
A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?
Responses
A 10x + 610x + 6
B 10x + 1010x + 10
C 5x + 35x + 3
D 6x² + 5x - 4
Answer:
I believe the answer is 10x + 6
Step-by-step explanation:
well we know that the same length and width of a rectangle is twice . this means that you can multiply the length and width by 2 to get the perimeter and add them . so by foiling you will have 2(3x+4) + 2(2x-1). you can solve this and simplify it to get 6x + 8 + 4x - 2 . simplify this more to get 10x + 6.
I'm a little confused because I do not see an answer on your question that says 10x + 6 . can you add a diagram, formatting, or more context if I am wrong?
my rectangular house is 30 feet by 40 feet. My goat Cassidy is outside on a 50-foot-long leash that is connected to a corner of my house. What is the area of the region in which Cassidy can roam?
Total area of the region in which the goat can roam is: 6283.2 ft² (nearest tenth)
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
The rectangular house is ABCD.
Given that rectangular house is 30 feet by 40 feet. Therefore, the goat Cassidy is outside on a 50-foot-long leash that is connected to a corner of my house.
Area of a circle = πr²
where r is the radius.
Therefore, Total area of the region in which the goat can roam is:
Area = 3/4πr² + 1/4πr² + 1/4πr²
Area = 3/4π(50)² + 1/4π(20)² + 1/4π(10)²
Area = 1875π + 100π + 25π
Area = 2000π = 6283.2 ft² (nearest tenth)
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for f(x)3x+10x and g(x) 2x-4 find (f-g)(x)
Answer:
11x+4
Step-by-step explanation:
To do this, we can substitute 3x+10x for f(x) and 2x-4 for g(x), and we get 13x-(2x-4). By distributing the negative to 2x-4, we just swap the signs, and get 13x-2x+4, which equals 11x+4
Also, is there supposed to be an exponent on the first f(x)? I'm not sure because I haven't seen the real problem.
(Otherwise it would just be f=13x.) Maybe try being a little more clear when asking a question :)
Please let me know if you need more help or explanation on another problem!