Answers
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
Related Questions
Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?
Answers
Answer:
5 19/20
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
5 19/20
Step-by-step explanation:
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Answers
Given:
Point is T(-3,8).
To find:
The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].
Solution:
We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.
If a figure reflected across x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]T(-3,8)\to T_1(-3,-8)[/tex]
If a figure reflected across y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]
[tex]T_1(-3,-8)\to T'(3,-8)[/tex]
Therefore, the required point is T'(3,-8).
What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?
Answers
Answer:
I hope that it will be help full for u
Step-by-step explanation:
As we know the equation of line is ,
y= mx+ cAs given
slope=m=-2/5
also given (x, y)= (-5, 7)
we get x=-5 , y=7
putt in the equation of line all these values we get ,
7=(-2/5)(-5) +c
c=7-2
c=5 now putt the value of c and m in equation of line we will get ,required equation of line
y = (-2/5)x + 5 Ans
Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
What is slope intercept form?
The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.
According to the question,
The line passes through the point (-5,7) and has slope of -2/5,
The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c
7 = 2 + c
c = 7-2
c = 5
Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
Learn more about slope intercept form here
https://brainly.com/question/12425007
#SPJ2
The figures are similar
Answers
Answer:
x is 10
Step-by-step explanation:
9+6=15 4+6=10
Use the vertical line test to determine whether the relation is a function
Answers
Answer:
7,2
Step-by-step explanation:
ANSWER THIS URGENTLY PLEASE !!!!
A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?
Answers
Answer:
0<x<70
0<y<500
Step-by-step explanation:
The range is the values horizontally (up to down)
The domain is the values vertically (left to right)
Answer:
0 ≤ x ≤ 70
0 ≤ y ≤ 500
Step-by-step explanation:
By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.
In square ABCD, diagonal DB is drawn. If the m
Answers
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The diagonal creates two isosceles right triangles, so ...
m∠CBD = 45°
3x +12 = 45
3x = 33 . . . . . . subtract 12
x = 11 . . . . . . . . divide by 3
so
How would you write 6.5E4
Answers
6.5 x 10^4
Or
65000
Find the 9th term of the geometric sequence 9, 27, 81,
Answers
Answer:
You have to multiply the last number by 3. So 9 times 3 equals 27 and 27 times 3 equals 81 and so on. The answer would be 59,049
Step-by-step explanation:
I hope this helps!!
28=−4x+5−x−2
what is X?
Answers
Answer:
X= -5
Step-by-step explanation:
25=-5x
x=-5
Explanation:
Combine like terms (4x) -x/-1x and 5-2
Subtract 3
Divide
A bottling machine fills 100 bottles in 150 seconds. How many minutes does it take the same machine to fill 1000 bottles?
Answers
Answer:
you have to have to put pp in girls wee wee and go in out and out ahhewgvfhbjnhvvvaef jcfvgfg
Step-by-step explanation:
At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?
Answers
Question 7 of 8
Find the slope-intercept equation of the line.
Plz help I can’t go past question 7
I need the equation
Answers
Answer:
y=-3/4x-5
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y intercept form
if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side
Answers
Answer:
5cm
Step-by-step explanation:
It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answers
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²
what is the slope of the line passing through the points (4,3) and (1,-2
Answers
Answer:
8/5
Step-by-step explanation:
Jus 360 no sniped my little sister get on my Game kid
Answers
Answer:
cool that's super cool
Step-by-step explanation:
Answer:
NICEEEEEEEEEEEEEEEEEEEE
Could I have Brainlest
Step-by-step explanation:
This graph shows the solution to which inequality?
Answers
please help i will mark brainliest
Answers
Answer:
6/11
Step-by-step explanation:
Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?
-4/5
1/5
5/4
5
Please answer FAST!!!
Answers
Answer:
5/4
Step-by-step explanation:
45 × ? = 10
Answer:
5/4
Step-by-step explanation:
Identify the type of slope and then find the slope of the line.
Answers
Answer:
-1/2, negative slopeStep-by-step explanation:
As per graph it is visible that the slope is negative, it goes down when x-value increases
Use two points to find the slope:
(-4, -1) and (0, -3)Slope formula:
m = (y2 - y1)/(x2 - x1)Value of the slope:
m = (-3 - (-1))/(0 - (-4)) = -2/4 = -1/2I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
$40.00
$62.50
$70.00
$60.00
Answers
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
20% = 20/100 = 0.20
20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
0.80x = 50
x = 50/0.80
x = 62.50
The original price of the jeans was $62.50
---------------
Note how,
20% of x = 0.20*x = 0.20*62.50 = 12.50
Tara saves $12.50 (this is the discount).
The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.
A game lasts 7/8 hours.Charmaine played 5 of these games.
For how long did she play in total?
Write your answer in simplest form.
Answers
Answer:
4.4 hours
Step-by-step explanation:
5x-3 /4=2x+3
Pls help
Answers
Answer:
x=-5
Step-by-step explanation:
5x-3/4=2x+3
First, multiply by 4
5x-3=4(2x+3)
Next, distribute.
5x-3=8x+12
Subtract 5x
-3=3x+12
Subtract 12
-15=3x
x=-5
Hope this helps :D
You do reseprocal/cross multiplication
5x-3=4(2x+3)
5x-3=8x+12
5x-8x=12+3
-3x=15
x=15/-3
x=-5
What does 9+10 equal?
Answers
30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.
A - 1200x + 40 = 3000; x=45 weeks
B - 1200 + 40x = 3000; x = 45 weeks
C - x(1200 + 40) = 3000; x = 45 weeks
D - x(1200 - 40) = 3000; x = 45 weeks
Answers
13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi
Answers
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
A diamond ring that normally sells for $1,275 is on sale for $1,020. A ruby ring that normally sells for $290 is on sale for $203.
Answers
Answer:
what is the question?
Step-by-step explanation:
PLSSS HELP MEEE ASAPP PLSSSS IM BEGGING U AND THANK U
Answers
Answer:
the 3 one
Step-by-step explanation:
Not good with factoring could use a hand.
Answers
The only factoring you need to do is already done for you:
x² + x - 12 = (x + 4) (x - 3)
What you're asked to do is decompose
(3x - 4) / (x² + x - 12)
into partial fractions, i.e. find a and b such that
(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)
Multiply both sides by x² + x - 12 :
3x - 4 = a (x - 3) + b (x + 4)
3x - 4 = (a + b) x + (-3a + 4b)
So we have
a + b = 3
-3a + 4b = -4
and solving this system gives
a = 16/7 and b = 5/7
so you should submit the numbers in bold:
(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))