3
3
-6x + 6y= 6
-6x + 3y=-12
Solve the following system of equations. Write answer as an ordered pair (x,y), or write no
solution or infinitely many solutions if the system results in these cases. * "
(1 Point)
i’ll make u brainliest if u answer
Answers
Answer:
The solution set is (5,6).
Step-by-step explanation:
Given equations are:
-6x + 6y= 6 Eqn 1
-6x + 3y=-12 Eqn 2
Subtracting Eqn 2 from Eqn 1
(-6x+6y)-(-6x+3y)= 6-(-12)
-6x+6y+6x-3y=6+12
3y = 18
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{18}{3}\\y=6[/tex]
Putting y=6 in Eqn 1
-6x+6(6)=6
-6x+36=6
-6x=6-36
-6x=-30
[tex]\frac{-6x}{-6}=\frac{-30}{-6}\\x=5[/tex]
Hence,
The solution set is (5,6).
Related Questions
how many heavier is 9 pounds 20 ounces than 160 ounces (1 pound = 16 ounces)
Answers
1 pound = 16 ounces.
9 pounds 20 ounces =
9 x 16 = 144
144 + 20 = 164
164-160 = 4
9 pounds 20 ounces is 4 ounces heavier than 160 ounces.
Answer:
1 pound = 16 ounces
9 pounds 20 ounces =(9×16)+20= 144+20 =164 ounces
(164-160) ounces
9 pound 20 ounces is 4 ounces heavier than 160 ounces
4 ounce is the right answer.A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.
Answers
Answer: 1st, 3rd, and 5th
Step-by-step explanation: Big trust
Answer:
1st, 3rd, 5th
Step-by-step explanation:
just did it on edge and got it right
PLEASE MARK ME BRAINLIEST
2) Write down the slope of the line.
a) Joining P(1,1) Q(2,3).
b) parallel to the line joining A(-1,5) & B(-6,-7).
c) perpendicular to the line joining B(2,-3) & S(-4,1)
Answers
Answer:
(a) m =(y2-y1)/(x2-x1)
m=(3-1)/(2-1)
m=2
can someone help me plz
Answers
Answer:
y = 2x - 10
Step-by-step explanation:
The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2
y = 2x + b
-4 = 6 + b
b = -10
Thank, 5 star, braniliest if helpful
Jeffrey is making cookies to sell at the school fair. For one dozen cookies, he needs 2 ¼ cups of flour. if he has 33 ¾ cups of flour, how many dozen cookies can he make? How many total cookies can he make?
Please help me with this math problem
Answers
Answer
Pretty sure he can make 15 dozens. Which means he can make 180 cookies.
Step-by-step explanation:
First, you would need to find how many times 2 1/4 cups can go into 33 3/4 cups. This would let you know how many dozens he can make. You would get an answer of 15 dozens. Then, you would multiply 15 times 12. You would multiply by 12 because a dozen is 12. You would then get an answer of 180. This means that he can make 180 cookies.
Hope I helped! :) Sorry if it's wrong :(
cos sec² a - cot²a=1
Answers
Answer:
The relation is:
cosec^2(a) - cot^2(a) = 1.
Where:
cosec(x) = 1/sin(x)
cot(x) = 1/tan(x) = cos(x)/sin(x)
Let's prove this.
Ok, we know by the Pythagorean theorem, that:
r^2 = x^2 + y^2
And we have the trigonometric relations, for an angle "a" measured from the x-axis
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
Where r is the hypotenuse, x and y are the catheti.
Now, let's divide the Pythagorean theorem by y^2 in both sides to get:
(r^2/y^2) = (x^2 + y^2)/y^2
r^2/x^2 = x^2/y^2 + y^2/y^2
r^2/y^2 = 1 + x^2/y^2
(r/y)^2 = 1 + (x/y)^2
and remember that:
y/r = sin(a)
then:
r/y = 1/sin(a) = cosec(a)
(r/y)^2 = cosec^2(a)
and:
y/x = tan(a)
then:
x/y = 1/tan(a) = cot(a)
and:
(x/y)^2 = cot^2(a)
replacing these in the equation (r/y)^2 = 1 + (x/y)^2 we get:
cosec^2(a) = 1 + cot^2(a)
cosec^2(a) - cot^2(a) = 1
In a right triangle, the measure of one angle is twenty more than four times a number. The other angle is three times a number. What is the measure of the angles in degrees?
Answers
Which set of ordered pairs does not represent a function?
{(7,8),(−4,4),(3,8),(−7,−1)}
{(−5,−3),(−1,−8),(−7,0),(−5,−9)}
{(8,4),(6,−1),(−4,5),(9,4)}
{(8,−3),(4,0),(−4,9),(3,2)}
Answers
Answer:
The second one [(-5,-5),(-1,-8),(-7,0),(-5,-9)]
Step-by-step explanation:
This is because there is more than 1 point with the same X-Value
What is the value of x?
799
A. 36°
B. 14°
C. 1440
D. 56
Answers
i got work due in 6 mins pls help me ill give brainliest 5 stars and thank you
Answers
Answer: ↓↓↓
Step-by-step explanation:
a. 8 + x + 2
Combine like terms
x + 10 or 10 + x
b. 14 + y - 6
Combine like terms
8 + y or y + 8
c. 7 - n + 10
Combine like terms
17 - n or -n + 17
Write the numerical expression as a power
giving brainlest if u do!!
Answers
Answer: See explanation
Step-by-step explanation:
2. [tex]6^{5}[/tex]
4. [tex]3^{9}[/tex]
6. [tex]9^{3}[/tex]
8.[tex]\frac{2}{5} ^{2}[/tex]
Answer:
[tex]6^{5} \\3^{9} \\9^{3} \\\frac{2}{5} ^{2}[/tex]
Step-by-step explanation:
Graph the line that passes through the points (6, 8) and (2, -2)and determine the equation of the line.
Answers
Answer:
y = 2.5x – 7
or
5/2x- -7
A chess club with 80 members is electing a new president. Hans received 32 votes. What percentage of the members voted for Hans?
Answers
Answer: 40%
Step-by-step explanation: To find what percentage of members voted for Hans simply multiply 32 by 100.
32 x 100 = 3200.
Then, divide that number, or 3200 by 80.
3200/80 = 40.
So, 40, or 40% of members voted for Hans.:)
help pls..............
Answers
What best describes the pair of angles below?
Answers
Answer:
i want to see the choices
find the zeros of the function by factoring.
3x^2+10x=8
Answers
Answer:
x = -4, 2/3
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0FactoringStep-by-step explanation:
Step 1: Define
3x² + 10x = 8
Step 2: Find Zeros
Rewrite in SF: 3x² + 10x - 8 = 0Factor: (x + 4)(3x - 2) = 0Solve for x: x = -4, 2/3Match each algebraic expression to the correct simplified expression.
x
X
10n- 3m
(11n - 3m) - n
X
8x + 5y
3m - (3n + 10m)
3x - 7y - (-2x) - Y
-7m - 31
[10y - (-9x)] - (5y + x)
X
5x - 8y
Plss help
Answers
Answer:
!
Step-by-step explanation:
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20
Answers
Answer:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon = [tex]20^\circ[/tex]
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle = [tex]180^\circ[/tex]
Internal angle + external angle = [tex]180^\circ[/tex]
Internal angle = [tex]180^\circ[/tex] - [tex]20^\circ[/tex] = [tex]160^\circ[/tex]
Sum of all the external of a regular polygon = [tex]360^\circ[/tex]
All the external angles will be equal because it is a regular polygon.
Let the number of sides = [tex]n[/tex]
Therefore,
[tex]n \times 20^\circ = 360^\circ\\\Rightarrow n = 18[/tex]
Therefore, the answers are:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
Four siblings buy a gift for their father on his birthday. Each sibling contributes (pays) the same amount of money towards the gift.
The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.
Write an expression to represent the amount of money each sibling will get back after the gift is paid for. Use x to represent the amount of money paid by each sibling.
If each sibling contributed $18 towards the gift, how much money did each sibling get back?
tip: they have paid a total of 40 dollars, so subtract what they bought, which should be 3 times each of the items added together.
Answers
Answer:
63÷4=$15.75(each sibling gave which made it up to $63)
63-40=$23(amount added together-amount paid)
$23÷4=$5.75(each sibling got back)
63-5.75x
if each contributed $18:
18×4=$72(each contribute 18 dollars so multiply by 4 because 4 siblings)
72-40=32(minus 40 from amount they contributed)
32÷4=$8(divide by 4 to see what each sibling got)
Each sibling got back $8
Answer:
23.75
Step-by-step explanation:
its c 4.75x5
Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?
Answers
Answer:
12/13
Step-by-step explanation:
According to SOH CAH TOA;
cos theta = adjacent/hyp = 5/13
adj = 5
hyp = 13
Get the opposite
opp = √13²-5²
opp = √169-25
opp = √144
opp = 12
Get sin theta
sin theta = opposite/hyp
sin theta = 12/13
Hence the value of sin theta is 12/13
What is the median of this group of numbers?
40, 40, 50, 50, 60, 80, 80, 80
Answers
Answer:
65
Step-by-step explanation:
Answer:
Step-by-step explanation:
given:
40, 40, 50, 50, 60, 80, 80, 80
There are 8 numbers in the data set. To split this data set down the middle, that is between 50 and 60:
40, 40, 50, 50 || 60, 80, 80, 80
So now to get the median you have to do the following/
(50+60)/2 which equals 55.
Median is 55.
ILL GIVE BRAINLIEST.
The number of students participating in this year's fundraiser is 6 more than
times the
number of students who participated last year. If x represents the number of students who
participated last year, which expression represents the number of students participating in
this year's fundraiser?
Answers
Answer:Simplifying
(5x + -6)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(5x + -3) = 0
Reorder the terms:
(-6 + 5x)(-3 + 5x) = 0
Multiply (-6 + 5x) * (-3 + 5x)
(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0
((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0
((18 + -30x) + 5x * (-3 + 5x)) = 0
(18 + -30x + (-3 * 5x + 5x * 5x)) = 0
(18 + -30x + (-15x + 25x2)) = 0
Combine like terms: -30x + -15x = -45x
(18 + -45x + 25x2) = 0
Solving
18 + -45x + 25x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -5x)(6 + -5x) = 0
Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:
Simplifying
3 + -5x = 0
Solving
3 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3
Combine like terms: 0 + -3 = -3
-5x = -3
Divide each side by '-5'.
x = 0.6
Simplifying
x = 0.6
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:
Simplifying
6 + -5x = 0
Solving
6 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6
Combine like terms: 0 + -6 = -6
-5x = -6
Divide each side by '-5'.
x = 1.2
Simplifying
x = 1.2
Solution
x = {0.6, 1.2}
Step-by-step explanation:
please brainliest this is as good as i could get to an answer to your question
Answer:
5x/3+6
Step-by-step explanation:
1/2 (3x – 7) = 2(x - 3)
Answers
3/2x-2x=7-6
-1/2x=1
x=1:1/2
x=2
is this function linear or exponential?
Answers
Answer:
This function is not linear.
someone HELP pls
what the value of -1/4[12x-0.2(12x + 8x]
Answers
Answer:
-2x
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours. ( Let s represent the screens and h represent the time)
1. Write an equation you can use to represent the above situation.
2. Use your equations to determine how long it would take to replace 34 screens.
Answers
Answer: 1. s*h 2. 20.4 hours
Step-by-step explanation: 1. s*h
2. 20.4 hours hope this helps.
40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how
many sandwiches are on the lunch platter in all?
Answers
Answer:
20 sandwiches is the total
Step-by-step explanation:
20 x 0.40 = 8
Ehich of thr following expressions has a Simplified value of 3A -2?
Answers
How to do the problem below, and can you show the work as well, thanks.
Answers
Answer:
it should be B. welcome!!
Step-by-step explanation:
please please please help
Answers
Answer:
Equation 1: 15+7h
Equation 2: 10h
Sorry can't graph for you
Step-by-step explanation: