Answer: {x,y}={6,21}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] 3x = 18
[2] x = 6
// Plug this in for variable x in equation [1]
[1] 2•(6) - y = -9
[1] - y = -21
// Solve equation [1] for the variable y
[1] y = 21
// By now we know this much :
x = 6
y = 21
We are done
Answer:
y = 2x -6. A dependent system, so all numbers on this line.
Step-by-step explanation:
2x - y = 6
-3y = -6x + 18
In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.
2x - y = 6
In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:
-y = -2x + 6
Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.
[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]
We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:
y = 2x - 6
Now, for the other equation. It's simple since y is already isolated.
-3y = -6x + 18
Once again we will be dividing both sides, but this time it's by -3.
[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]
We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:
y = 2x - 6
Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.
I NEED HELP ASAP!!!!!!! WHAT IS 8 3/5x 2 5/8?
Answer: 22.575
If you round up, it is 22.6.
I hope you get a 100! Best of luck!!!
Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita's Solution Sarita's Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?
Answer:
Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.
Step-by-step explanation:
Given the following equation:
The steps to solve it are:
5(x-3)+7(x+4)-73
1. Apply the Distributive property:
5x-15+7x+28=73
2. Add the like terms:
12x+13=73
3. Subtract5 13 from both sides of the equation:
12x+13-(13)=73-(13
12x=60
4. Divide both sides of the equation by 12:
12r/12 = 60/12
x = 5
To verify it, let's substitute into the equation:
5(5-3)+7(5+4)=73
Evaluating, we get:
5(2)+7(9)=73
10+63=73
73=73
Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )
Answer:
A. Sarita’s solution is correct. She made an error in her verification.
Step-by-step explanation:
EDGE 2020
2p + 4q =20 translate into a sentence
Answer:
two "P" plus four "Q" equals twenty
Step-by-step explanation:
I changed the numbers to words
Select the proper order from least to greatest pleas
Answer: B
Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B
Answer:
Your picture is locked I would fix it but I dont know how.
Step-by-step explanation:
Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?
Answer:
y = 1/3x + 26/3
Step-by-step explanation:
Original equation: y = -3x + 2
Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.
Slope of original equation: -3
Slope of perpendicular line: 1/3
How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3
Then you substitute (-2, 8) into the new equation: y = 1/3x + b
*there's b because you don't know the y-intercept yet
Substitute: 8 = 1/3(-2) + b
8 = -2/3 + b
Add 2/3 on both sides
b = 24/3 + 2/3
b = 26/3
*this is the y-intercept
Therefore, the perpendicular equation is: y = 1/3x + 26/3
Can someone please help me on this?
Answer:
linear pair: a pair of angles that equal 180 and make a line
complementary angles: 2 angles that equal 90 degrees
vertical angles: angles that are vertical from each other that equal the same sum
supplementary angles: 2 angles that equal 180 degrees
Step-by-step explanation:
ima sophomore did this a long time ago.
Please answer will give brainliest! What is the distance between −93 and 114 on a number line? −207 −21 21 207
−207
−21
21
207
Answer:
207
Step-by-step explanation:
It automatically can not be -207 and -21 because you can't have a negative distance. To find the correct answer between 21 and 207, first you have to add 93 and 114. You do this because -93 is below the number line, so you have to add it to 114. 114 + 93 = 207
207
I hope this helps
hello me please asap
Answer:
7,10,19 and 4,5,9
Step-by-step explanation:
According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9
Pete owes his brother $35 from five weeks of borrowing money.
a. What is the mean amount Pete borrowed from his brother each week?
b. If Pete continues to borrow his money, how much money will he owe after three more weeks?
Answer:
The Answer for a is $175
Step-by-step explanation:
Thats all I know sorry
answer please this question
Answer:
p = 4√5
Step-by-step explanation:
To solve for P, we can use the Pythagorean theorem.
a²+b²=c²
(8)²+(p)²=12²
64+p²=144
p²=80
√p=√80
p = 4√5
Determine the length of AS.
A. 12
B. 18
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
2x+6
Divide 2 on both sides
x=3
Please solve for me ;6÷2(1+2)
Answer:
9
Step-by-step explanation:
Which rule describes the transformation?
O(x, y) - (x, y)
O (x,y) - (y,x)
O (x,y) - (-x, -y)
O (x, y) - (y, -x)
The rule that describes the transformation is (x, y) → (-x, -y).
Option C is the correct answer.
We have,
From the graph,
A = (-1, -1)
B = (1, -1)
C = (0, -4)
And,
A' = (1, 1)
B' = (-1, 1)
C = (0, 4)
Now,
If we use transformation:
(x, y) → (-x, -y) on each coordinate of A, B, and C.
We get,
A' = (1, 1)
B' = (-1, 1)
C = (0, 4)
Thus,
The rule that describes the transformation is (x, y) → (-x, -y).
Learn more about transformation here:
https://brainly.com/question/12463306
#SPJ7
Answer asap please!
1 3/5 ÷ 1/4
A- 3/20
B- 1 3/20
C- 1 2/5
D- 6 2/5
Answer:
D
Step-by-step explanation:
8/5 x 4 = 6 2/5
Which expression is equal to -8?
4 x -2
-24
÷
÷ -3
11 + (-3)
11 - (-3)
Answer:
4 x -2
Step-by-step explanation:
4 * -2 = -8
-24 / -3 = 8
11 + (-3) = 8
11 - (-3) = 14
NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!
Answer: The line is horizontal
Step-by-step explanation:
The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it
What is 5x-7(x+1)=9
Thanks for the help
Answer:
x = -8
Step-by-step explanation:
Step 1: Write equation
5x - 7(x + 1) = 9
Step 2: Solve for x
Distribute -7: 5x - 7x - 7 = 9Combine like terms: -2x - 7 = 9Add 7 to both sides: -2x = 16Divide both sides by -2: x = -8Step 3: Check
Plug in x to verify it's a solution.
5(-8) - 7(-8 + 1) = 9
-40 - 7(-7) = 9
-40 + 49 = 9
9 = 9
The expression 5/2k −2 factored is
Answer:
Factored out is 1/2 or 0.5
Step-by-step explanation:
5k - 4 over 2
What is the solution to this equation? 4- 5k = -21
a.5
b.21
c.17 over 5
4 over 5
Answer:
k = 5
Step-by-step explanation:
4 - 5k = -21
Transpose and subtract 4 from both sides:
4 - 4 - 5k = -21 -4
-5k = -25
Divide both sides by -5
-5k/-5 = -25/-5
k = 5
Can someone help me? Kendall owns 39 CD’S, and he buys a new one every week. Raymond only owns 15 CD’S but he buys 3 new ones each week. How many weeks will it be before Raymond owns as many CD’S as Kendall?
Answer:
7 weeksStep-by-step explanation:
Let the number of weeks be x
Then Kendal's CD's
39 + xRaymond's CD's
15 + 3xTime when they have equal CD's
39 + x = 15 + 3x3x - x = 39 - 152x = 14x = 7 weeksAnswer:
That is wrong... 7 is not the answer
12 is the real answer
Step-by-step explanation:
How to get the LCM of the exxpresion
Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. 3 x 3 - 2 x 2 - x and x - 1 . The LCM is by multiplying all factors included in the factoring of the given expressions.
Step-by-step explanation:
To find the LCM of given expressions, we proceed as follows:
1) Express each of the expressions as the product of its factors including prime factors where applicable.
2) Find the product of each factor with the highest power which occurs in the given expressions.
3) This product is the LCM.
What is 2.1 with 1 repeating as a mixed fraction
A 2 1/10
B 2 1/9
C 2 11/10
D 12/100
Answer:
the answer is B
Step-by-step explanation:
1. convert the mixed number choices to improper fractions
2. type each improper fraction into a calculator
3. see which one comes out as 2.111111111
4. find out that it's B and you'll B happy (see what I did there, it's a pun)
Simplify the expression x(3x)2
Answer:
3x(2)
=6x
Step-by-step explanation:
Answer:
[tex]6x^{2}[/tex]
Step-by-step explanation:
x(3x)(2)
=x*3*x*2
=6*x2
=6x2
What is the best estimate for ?
5.75
6.25
7.5
8.1
Answer:
The answer is 6.25
Step-by-step explanation:
Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.
A New York City veterinary technician makes $40,532.00 per year. He is paid every two weeks. What is his gross pay per paycheck? (Remember there are 52 weeks in a year)
Answer:
His gross pay per paycheck is $1558.92
Step-by-step explanation:
$40,532.00 ÷ 52 = 779.461538462
779.461538462 × 2 = 1558.92308
1558.92308 ≈ $1558.92
If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
36.16 miles
Step-by-step explanation:
A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the image attached, the coordinates of the plane are:
A(-1, -1), B(1, -1), C(5, 2), D(0, 13), E(-5, 2).
The lengths are:
[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]
But 1 mile = 1 unit
Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles
Star A is about 3.4 x10^18 miles from earth. star B is 6.8 x 10^16 miles from earth.Star A is how many times as far from Earth as Star B? I
Answer: It's 50
Step-by-step explanation:
3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.
There are 6 m spaces help
Answer with step-by-step explanation:
If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.
7.5 cm = 1/16 m
9 cm = 3/40 m
6 cm = 1/20 m
3.5 cm = 7/240 m
Hope this helped!
Find the distance between (9,2) and (5,9)
Answer:
√ 65
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Exact Form:
√ 65
Decimal Form:
8.06225774 …
.
Gus and Mark collect baseball cards and they keep them in plastic sleeves. Gus has 5 plastic sleeves that are full of cards. Mark has 2 sleeves full of cards and 6 additional cards.
If Gus and Mark have the same number of cards, which equation could be used to find the number of cards in one sleeve?
A.) s + 5 = s + 2 + 6
B.) 5s = 2s - 6
C.) 5s + 6 = 2s
D.) 5s = 2s + 6