The solution (x, y) to a system of equations is the point where both equations intersect, meaning the coordinates (x, y) satisfy both equations simultaneously.
Explanation:In mathematics, specifically in algebra, the solution (x, y) to a system of equations is the point where they intersect. This means that the coordinates (x, y) satisfy both equations simultaneously.
For example, if you have the system of equations y = 2x + 1 and y = 4x - 3, their solution would be the point (x, y) that would make both equations true when substituted into these equations. This is an important concept in algebra and serves as the foundation for many subsequent topics.
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The solution to a system of equations is the point where their graphs intersect, representing values that satisfy both equations. This method is practical for two-variable systems.
The solution to a system of equations is the point where the graphs of the equations intersect. This point represents the values of x and y that satisfy both equations simultaneously.
For example, consider the system of equations:
Equation 1: 2x + y = 5
Equation 2: -x + 3y = 4
Graphing these equations, the point where the lines cross is the solution. If the lines intersect at (x, y) = (1, 3), then (1, 3) is the solution to the system. This graphical method is useful for two-variable systems but becomes impractical for systems with more variables.
This is urgent, please answer!
What is the area of this composite figure?
Answer: 978 in. squared
Step-by-step explanation:
area of the rectangle : 24 x 30 = 720
area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108
area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150
720 + 108 +150 = 978
Is the slope Positive, Negative, Zero or Undefined?
Find the slope
What does m=
Answer:
Positive
Step-by-step explanation: The slope is 4/3
Answer:
slope is positive m=4/3
Step-by-step explanation:
What is the formula (equation) for momentum?
Answer:
p=mv
Step-by-step explanation:
Answer:
The answer is p = m×v.
Step-by-step explanation:
The formula of momentum is p = m×v where m is the mass of object and v is the velocity of an object.
I’ll mark brainly answer pls!!
Answer:
A = 120 units^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
The base is 15 and the height is 8
A = 15*8
A = 120 units^2
Answer:
120
Step-by-step explanation:
multiply the height,8, by the length, 15.
Find the exact length of the third side.
Answer:
The third side is sqrt(5)
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
We know the legs are 1 and 2 and we are looking for the hypotenuse.
1^2+2^2 = c^2
1+4 = c^2
5 =c^2
Take the square root of each side
sqrt(5) = sqrt(c^2)
sqrt(5) =c
The third side is sqrt(5)
Answer:
[tex]\sqrt{5}[/tex] or 2.236
Step-by-step explanation:
The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2
2^2 + 1^2 = h^2
4+1 = h^2
5 = h^2
[tex]\sqrt{5} = \sqrt{h^{2} }[/tex]
[tex]\sqrt{5} =h[/tex]
A gardener has a circular garden, which he divides into four quadrants. He has four different kinds of flowers, and he wants to assign a flower to each quadrant, so that adjacent quadrants are not planted with the same kind of flower. (Also, the gardener can use the same flower more than once.) How many different gardens are possible?
Answer:
84Explanation:
Call the quadrants I, II, III, and IV, counterclockwise, and the kinds of flowers A, B, C, and D.
Start by assigning a flower of kind A to quadrant I.
Then, quadrant II can have flower B, C, or D.
If it is B, then quadrant III can have either A, C, or D. If it isIf quadrant III has A, then quadrant IV can have either B, C, or D. That is 3 different gardens.
If quadrant III has C, then quadrant IV can have either B or D. That is 2 different gardens.
If quadrant III has D, then quadrant IV can either either B or C. That is 2 different gardens.
Those are all the possible different gardens if A is assigned to quadrant I and B is assigned to quadrant II: 3 + 2 + 2 = 7.
Working yet with A in quadrant I but assigning C to quadrant II, you can make the same reasoning as above to get other 7 gardens.
The same with A in quadrant I but D in quadrant II, other 7 different gardents.
In total, you find 7 × 3 = 21 different gardens when flowers of kind A are assingned to quadrant I.
Starting with a flower of kind B in quadrant I, there will be other 21 different gardens. The same for C and D. Then, in total, there are 4 × 21 = 84 different possible gardens.
Answer:
84
Step-by-step explanation:
Quadrants A and C either have the same kind of flower, or they have different flowers.
If quadrants A and C have the same kind of flower, there are 4 ways to choose this flower. There are then 3 ways to choose the flower for quadrant B, and 3 ways to choose the flower for quadrant D, so there are 4 x 3 x 3 = 36 possible ways in this case.
If quadrants A and C have different kinds of flowers, then there are 4 ways to choose the flower for quadrant A, then 3 ways to choose the flower for quadrant C. Then there are 2 ways to choose the flower for quadrant B, and 2 ways to choose the flower for quadrant D, so there are 4 x 3 x 2 x 2 = 48 possible ways in this case.
Therefore, there are a total of 36 + 48 = 84 ways to plant the flowers.
1. If we vertically reflect the Figure A,
what will be the points?
a.
(4,3),
(4,0)
b.
2. If we transform the Figure B at the
point (-2,-4) at 90° right then what
will be the points?
(-4,2),
(-1,2),
(-2,-1)
c.
3. If we vertically reflect the Figure C,
what will be the points?
(3,2),
(4,2).
(5,0),
(4,0)
4. If we horizontally reflect the Fiqured
(22) 13.21
how do you factorise 18x² + 9x?
please show the steps an answer fully, please
Answer:
9x(2x + 1)
Step-by-step explanation:
Looking at the two terms, notice that you can write the first term as:
18x² = 9x * 2x
Then, we can see that the first term and second term both have 9x in them. That means 9x is a common factor, so we can take it out from both of them ("take it out" basically means "divide"):
18x² + 9x = 9x * 2x + 9x = 9x * (2x + 1)
Thus, the factored form is 9x(2x + 1).
Hope this helps!
Solve the system of equations.
2x - y = 7
x + y = 2
Answer:
2x - y = 7
x + y = 2
-------------
3x = 9
x = 3, y = -1
There are 2 green,5 yellow, 6 red,and 7 blue marbles in a bag. Erin picks one marble from the bag without looking. What is the probability she will pick a marble out of the bag that is blue?
a) 7% b) 20% c) 35% d) 54%
Answer:
c 35%
Step-by-step explanation:
2 green,5 yellow, 6 red,and 7 blue marbles
2+5+6+7 = 20 marbles
P(blue) = blue marbles / total marbles
= 7/20
= 35/100
=35%
1) Determine the GCF and
2) write the expression in factored form.
(6x2 + 4x) + (4x2 – 8x)
Hey there,
The first step in solving this problem would have to be to add the two binomials together:
10x² - 4xKnowing this now we find the GCF which would have to be 2x which goes into both terms.
The factored form would have to be 2x(5x - 2).
The GCF is 2x and the factored form is 2x(5x - 2).
Hope I helped,
Amna
The GCF for the expression (6x2 + 4x) + (4x2 - 8x) is 2x, and the expression in factored form is 2x(5x - 2).
To determine the greatest common factor (GCF) and write the expression in factored form for (6x2 + 4x) + (4x2 - 8x), we should first combine like terms:
6x2 + 4x + 4x2 - 8x = 10x2 - 4x
We can then identify that both terms have a common factor of 2x. Factoring that out, we get:
2x(5x2/2x - 4/2) = 2x(5x - 2).
What is the slope of the line whose equation is 3x+2y=−4 ? Enter your answer in the box.
Answer:
m/slope = -1.5
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
353, 346, 339,...
Find the 37th term.
Answer:
66
Step-by-step explanation: What i did was take and figure out the pattern which is -7 every number. Then i went and multiplied 7 x 37 and got 259. Then I took 259 and subtracted that from 339 and got 66 which should be your answer.
Find the total volume of the following composite figure with
h=7.5
and
r=3.6
Use 3.14 for LaTeX: \piπ.
Round to the nearest hundredth.
Given:
The height of the given fig = 7.5 unit
The radius of the given fig = 3.6 unit
To find the volume of the given composite figure.
Formula
The volume of the given fig
[tex]V = V_{1}+V_{2}[/tex]
where,
[tex]V_{1}[/tex] be the volume of the cone
[tex]V_{2}[/tex] be the volume of the semicircle
[tex]V_{1}=\pi r^{2} h[/tex], r be the radius and h be the height
[tex]V_{2} = \frac{2}{3} \pi r^{3}[/tex], r be the radius
Now,
Putting, r= 3.6, h = 7.5 and π = 3.14 we get,
[tex]V_{1} =(3.14)(3.6^{2} )(7.5)[/tex] cube in
or, [tex]V_{1}= 305.208[/tex] cube in
And,
[tex]V_{2} =\frac{2}{3} (3.14)(3.6^{3})[/tex] cube in
or, [tex]V_{2} = 97.67[/tex] cube in
So,
[tex]V = 305.208+97.67[/tex] cube in
or, [tex]V = 402.878[/tex] = 402.88 cube in
Hence,
The volume of the given figure is 402.88 cube in.
can a smart person help me out? I really need help with these three questions
Answer:
1.= 2.4 Hours
2.= 8 miles per hour
3.= 150 miles per hour
Step-by-step explanation:
The rule is applied to trapezoid ABCD to produce the final image A"B"C"D".
Trapezoid A double-prime B double-prime C double-prime D double-prime has points (negative 4, 5), (negative 1, 5), (0, 3), (negative 5, 3).
Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.
(–1, 0)
(–1, –5)
(1, 1)
(7, 0)
(7, –5)
Transformation involve moving a point away from its original location.
The vertices of the pre-image are (–1, 0) and (–1, –5).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The rule is given;
[tex]r_{y = x} T_{4,0(x,y)}[/tex]
The rule means that
ABCD was translated by 4 units to the right, then reflected over line y = x,
The rule of right translation by 4 units,
(x, y) --- (x+4, y)
The rule of reflection over,
(x, y) --- ( y, x+ 4)
The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).
Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).
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In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians.
What is the arc length?
Answer:
The arc length is 52.
Which function is the inverse of f(x) = 2x + 3?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)
Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
y = 2x+3
To find the inverse, exchange x and y
x = 2y+3
Solve for y
Subtract 3 from each side
x-3 = 2y+3-3
x-3 =2y
Divide each side by 2
x/2 -3/2 = 2y/2
1/2x -3/2 =y
The inverse is 1/2x -3/2
Explain why P(AD) and P(DIA) from the table below are
not equal.
Answer:
P(A) ≠ P(D)
Step-by-step explanation:
P(A|D) = P(AD)/P(D)
P(D|A) = P(AD)/P(A)
The two denominators are not equal, so the quotients cannot be equal.
P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
From the table, we have the following parameters:
n(A) = 8
n(D) = 10
n(A and D) = 2
P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:
P(A|D)=2/10
=1/5 = 0.2
P(D/A)= 2/8
=1/4
From the above computations, we have:
P(A|D)≠P(D/A)
Hence, P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
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Fill in the blank with the correct response.
If the diameter of a circle is 12 feet, then the radius of the circle is how many feet?
pls help!
Answer:
Answer is
Radius of a circle is 6 feet
Step-by-step explanation:
[tex]given \: diameter \: = 12 \: feet \\ d = 2r \\ radius = \frac{d}{2} \\ = \frac{12}{2} \\ = 6[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Answer:
6ft
Step-by-step explanation:
SCENARIO
You and your friend are playing a game with spinners. The two spinners are pictured below. To win each round, you have to land on a number that is bigger than the one your friend lands on. Which spinner would you rather have? Explain your answer.
I need an answer by April 24 ASAP! ;-;
Answer:
1
Step-by-step explanation:
because on how you show for 2 when you want to win have an accurate meaning of an number
Answer: Either spinner
Step-by-step explanation: I hope this makes sense, as I had the same question :)
I would choose either spinner because there is an equally likely probability to land on a greater number using either one. If you join the same numbers together on spinner 1 (all the 1's together, 2's together, and 3's together), the section they would make would be the same size as that same number section on spinner 2.
OR (more detailed one)-
The probability of landing on a number greater than your friend on either spinner is equally likely. 1 and 2 on the first spinner are both 3/8 of the spinner and 3 is 2/8 which is the same ratios as the second spinner. The difference is that on spinner #1, the numbers are split up and spread out from each other (ex. 1,2,3,2,3,1), and in spinner #2 all the 1's, 2's, and 3's are together to make bigger looking chunks. The area of each number is the same on both spinners.
Hope this helps!!!! :):):)
determine the zeros & the y-intercept of the function 3(x-3)(x-2)
Answer:
see explanation
Step-by-step explanation:
Given
y = 3(x - 3)(x - 2)
To find the x- intercepts, let y = 0, that is
3(x - 3)(x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are x = 2 and x = 3
To find the y- intercept let x = 0 and equate for y, that is
y = 3(0 - 3)(0 - 2) = 3(- 3)(- 2) = 3 × 6 = 18
Thus the y- intercept is y = 18
5. Celia gets paid biweekly. Her biweekly salary is $1,763.28. What is her annual
salary?
Answer:
Her annual salary is $45,845.28
Step-by-step explanation:
Multiplication is the process of multiplying. Celia' s annual salary is $48,845.28.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Celia's biweekly salary is $1,763.28. Therefore, her weekly salary will be,
Celia's weekly salary = Celia's biweekly salary/ Number of weeks
Biweekly mean once in two weeks, therefore,
Celia's weekly salary = $1,763.28 / 2 weeks
Celia's weekly salary = $881.64 per week
Now, a complete year has 52 weeks, therefore, Celia's annual salary will be,
Celia's annual salary = Celia's weekly salary × Number of weeks in a year
= $881.64 per week × 52 weeks
= $48,845.28
Hence, Celia' s annual salary is $48,845.28.
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Write the fractional notation in lowest terms.
110 minutes to 4 hours.
Final answer:
To convert 110 minutes to a fraction of 4 hours, we first turn both quantities into minutes and then form a fraction. Reducing this fraction to its lowest terms, 110 minutes to 4 hours can be expressed as the fraction 11/24.
Explanation:
To express 110 minutes in terms of hours, we need to divide the number of minutes by 60, since there are 60 minutes in an hour.
110 minutes ÷ 60 minutes = 1 hour 50 minutes
Now we have to represent 1 hour 50 minutes as a fraction of 4 hours. First, let’s convert 1 hour 50 minutes entirely to minutes to make it easier to compare. There are 60 minutes in an hour, hence:
1 hour = 60 minutes
50 minutes = 50 minutes
Total minutes = 60 + 50 = 110 minutes
Since we know 4 hours is the same as 240 minutes (4 hours x 60 minutes/hour), we can now write the fractional notation:
110 minutes / 240 minutes
Reducing this fraction to lowest terms by dividing both the numerator and the denominator by 10 yields:
11 / 24
Therefore, 110 minutes to 4 hours is expressed as the fraction 11/24 in lowest terms.
Kareem drove 225 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 441 miles?
how many gallons
Answer:
19.6 gallons
Step-by-step explanation:
If 10 gallons of gas were used to drive 225 miles then If kareem drove on 1 gallon of gas would take 22.5 miles.
so 1 gallon=22.5 miles,441 miles=19.6 gallons because,441/22.5=19.6 gallons.
The Kareem 19.56 gallons of gas to drive 441 miles at the same rate.
To find the number of gallons Kareem to drive 441 miles at the same rate, set up a proportion based on the given information:
Miles driven / Gallons of gas = Miles to be driven / Gallons of gas
Using the values provided:
225 miles / 10 gallons = 441 miles / x gallons
cross-multiply to solve for x:
225x = 10 ×441
Dividing both sides of the equation by 225:
x = (10 ×441) / 225
Calculating the value:
x ≈ 19.56
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What is 2/15 of 75?
Explain how you did it
Answer:
10
Step-by-step explanation:
2/15 of 75
2/15 × 75
2 × 75/15
2 × 5
10
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14, . . . can be used to represent this situation. In this sequence n represents what?
Answer:
Step-by-step explanation:
Yes. n represents the number of week
Answer:
1: number of weeks
2. the payment amount for the end of week n
3: A
Can you please help me out ASAP plzz
Answer:
c
Step-by-step explanation:
PLEASE HELP THIS IS URGENT I AM BEING TIMED IF YOU CAN ANSWER THIS CORRECT I WILL CALL YOU BRAINLYES
Change each fraction to a decimal and then to a percentage. Include a fraction in the hundredths place if needed. Do not round. Write the decimal, then the percentage. Separate your answer with a comma and a space.
Example: 0.10, 10%
Example: 0.12 3/4, 12 3/4%
23/40
AS A DECIMAL AND A PERCENTAGE
Answer:
23/40 = as a decimal: 0.575 As a percentage 57.5%
Step-by-step explanation:
I know this because I used a online site to check my work.
I hope this helps you! :)
plz mark brainliest :)
The dot plot shows the birth year of everyone who works at Sam’s office. The youngest person who works there was born in 1987. Sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. Where did Sam make an error?
Answer:The correct answer is The spread is from 1966 to 1987
Step-by-step explanation:
Sam makes an error when recording by imputing the spread as being from 1966 to 1987 .If this happens ,then it will affect all other results such as the gap ,center and peak which will change
Answer:
A is the right answer
Step-by-step explanation:
I know this because i got it right on my test.