Answers
Given the system of equations below:
[tex] \large{ \begin{cases} x + 2y = 12 \\ x = y - 12 \end{cases}}[/tex]
For the second equation, x-term is isolated and can be substituted in the first equation.
[tex] \large{(y - 12) + 2y = 12}[/tex]
The equation above is when we substitute x = y-12 in the first equation. Cancel the brackets.
[tex] \large{y - 12 + 2y = 12}[/tex]
Add up the like term and isolate y-term.
[tex] \large{3y - 12= 12} \\ \large{3y - 12 + 12 = 12 + 12}[/tex]
Add both sides by 12 to get rid of 12 from the left side to isolate y-term.
[tex] \large{3y = 24}[/tex]
Divide both sides by 3 so we can finally isolate the term.
[tex] \large{ \frac{3y}{3} = \frac{24}{3} } \\ \large{ \frac{ \cancel{3}y}{ \cancel{3}} = \frac{ \cancel{24}}{ \cancel{3}} } \\ \large{y = 8}[/tex]
Next, find the x-value because in system of equations - we have to answer as in an ordered pairs or coordinate point. We know y-value now but we don't know x-value yet. To find x-value, we substitute the y-value in one of two equations that are given. You can substitute in both equation but it's not necessary to substitute in both equations at one. I will choose to substitute in x = y-12.
[tex] \large{x = y - 12}[/tex]
Substitute y = 8 in the equation.
[tex] \large{x = 8 - 12} \\ \large{x = - 4}[/tex]
Now that we know the both values. We finally have an answer to this problem. Hence.
Answer
x = -4, y = 8(-4,8)The second answer is in ordered pair form. Let me know if you have any doubts!
Related Questions
This is correct? I need help please :(
Answers
Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
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Help me please ASAP
Answers
Answer:
x = 22
Step-by-step explanation:
that is the procedure above
519 divided by 22,836
Answers
PLEASE HELP ME WITH THESE 2 QUESTIONS
Answers
Answer:
Step-by-step explanation:
PLEASE HELP!!!
Select all of the true statements below.
A
Kingsville started with a larger population in the year 2000.
B
Each year, the population of Kingsville increases by more people than does the population of Fairfield.
C
Kingsville and Fairfield both have decreasing populations.
D
After 6 years, Fairfield's population is greater than Kingsville's population.
Answers
I think it is A or B
the slope is 6 and passes through (-4,4)
Answers
Answer:
y=6x+28
Step-by-step explanation:
Using the given variables, find the equation of the line using y=mx+b
In this equation, m=slope, which means m=6
So now we have y=6x+b. We need to find the b value.
Plug in the point (-4,4) into the equation and solve for b like so:
y=6x+b
4=6(-4)+b
28=b
Now, plug in your m value and b value into y=mx+b to get your answer of y=6x+28
PLEASE PLEASE HELP ME WITH THIS I ONLY NEED 2O MORE POINTS ON THIS IXL
EXPLANATION = BRAINLIEST
answer needs to be in simplest form!!!!
i appreciate this so much
Answers
This is the same as 7.5pi
============================================================
Explanation:
Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.
Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below
S = (x/360)*pi*r^2
where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.
Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2
-----------------------
Plugging in the given values leads us to...
S = (x/360)*pi*r^2
S = (108/360)*pi*5^2
S = (3/10)*pi*25
S = (3/10)*25*pi
S = 75pi/10
S = 15pi/2
This is the same as 7.5pi because 75/10 = 15/2 = 7.5
I'll leave it as a fraction since the previous answer I wrote was in fraction form.
-------------------------
Side note: if the angle x is in radian mode, then you'll use this formula
S = (x/2)*r^2
Answer:
7.5π square meters
Step-by-step explanation:
The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]
Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.
We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:
[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]
(OR approx. 23.56 square meters)
Hope this helped!
Find the value of the variable
Answers
Answer:
v=9
Step-by-step explanation:
Given the right triangle is a 30-60-90 triangle, we can simply make the equation v√3=9√3 since the longest side of a 30-60-90 triangle is √3 times as big as its short side. Therefore, v=9.
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answers
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
The function f(x) = 0.50x represents the cost of x bagels at your local bakery, in dollars. Fernando wants to purchase 10 bagels at the bakery. How much would he have to pay?
Answers
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
-5, - 32.1,
23
Answers
Answer:
Second one
Step-by-step explanation:
Integers are any whole numbers ( can be negative or positive )
The only answer choice that contains only whole numbers is the second one
What is the radius and diameter of each circle ?
Answers
Answer:
A
radius is 11
diameter is 22
B
radius is 15
diameter is 30
C
radius is 13
diameter is 26
D
radius is 7
diameter is 14
Answer:
Step-by-step explana
1- R == 11
D=2R = 22
2-D =30
R= 0.6D = 15
3- D = 26
R= 0.5D= 13
4 - R= 7
D= 2R = 14
Given that P = 3K/R, by making R the subject of the formula we get is
Answers
Answer:
R=3K/P
Step-by-step explanation:
P=3K/R
RP=3K
RP/P=3K/P
R=3K/P
please help me solve this
Answers
Answer:
1.41
2.17
Hope this helps u
Explanation:
In Venn diagrams, similarities in both things are in the middle of the diagram, but we also have the others.
Therefore, there are 41 students who like tennis and swimming.
Students who don't like tennis like swimming, so that's 17.
Therefore, there are 17 students who don't like tennis.
I hope I helped!
Question in the picture ^
Answers
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
BRAINLY OPPORTUNITY
ANSWER ASAP
If f(x) = -9x – 9 and g(x)= x-9,
what is (fºg)(10)?
Answers
Answer:
-18
Step-by-step explanation:
fog(x) = -9(x-9) -9
=> f o g (10) = -9(10-9)-9 = -9-9 = -18
What are the roots of 5x^2=60
Answers
Answer: {±2√3}
Step-by-step explanation: Since only one term contains an x in this problem, we can simply get the x by itself by dividing both sides by 5 and then square rooting both sides to get x = ±√12
Remember to use plus or minus when
square rooting both sides of an equation.
Now, √12 breaks down to 2√3 so our
final answer is {±2√3}.
If the variable only appears in one of the terms in the equation,
you can solve it by simply isolating the variable.
Which of the following is a statistical question?
Answers
Hope this helped <3
The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.
Which inequality can be used to determine the maximum width (ft) of the rectangle?
A. 5x2 – 2x < 100
OB. 5x2 - 2x > 100
O C. 5x2 + 2x > 100
D. 5x2 + 2x < 100
HELPPP PLS!!
Answers
Answer:
A
Step-by-step explanation:
Area of rectangle = length x width
length = 5x - 2
width = x
area = (5x - 2) × x
100 = 5x² - 2x
the width would be less than the area of the rectangle, thus the inequality sign to be used is <
5x² - 2x < 100
If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?
Answers
Step-by-step explanation:
hope the picture above help u to understand:)
Write the equation of the line that passes through the points:
(-4,-4) and (8,-7)
Answers
Mx is slope = y2-y1/x2-x1 = -7+4/8+4= -3/12= -1/4
Now replace one of the points to find C or y-intercept
-4=-1/4(-4)+c
-4-1=c
C=-5
Final answer =
Y= -1/4x-5
I hope you brainliest my answer cause I tried my best so enjoy !!
What is the slope of the line that passes through the points (4, 9)(4,9) and (7, 18) ?(7,18)? Write your answer in simplest form.
Answers
Answer:
Slope = 3
Step-by-step explanation:
Calculate using slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex](x1, y1) = (4, 9)[/tex] and [tex](x2, y2) = (7, 18)[/tex]
[tex]m = \frac{18 - 9}{7 - 4} = \frac{9}{3} = 3[/tex]
to the girl who helped me <3 please help me again.
Answers
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
Please HELP ME ITS DUE IN A COUPLE OF MIN!!!
Fruits and vegetables are a great source and insoluble ________,which helps detoxify the body and in doing so helps prevent against cancer,diabetes and cardiovascular disease.
A.protein
B.fat
C.fiber
D. sugar
Answers
hope this helps j trust me ig
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation.
Answers
I-moom equation is 12x+3
I-toons equation is 10x+9
Anne is doing a project on family size for social studies class. She collected data on the number of first cousins the kids in her neighborhood have. This histogram shows the data she collected.
Answers
Answer:
The data is nearly symmetricalOn average, kids in her neighborhood have about 15 cousinsThe mean and median are equal or nearly equalThe equation sin (25 degree) equals StartFraction 9 Over c EndFraction can be used to find the length of Line segment A B.
Answers
Answer:
[tex]AB = 21.3[/tex]
Step-by-step explanation:
Given
[tex]\sin(25) = \frac{9}{c}[/tex]
See attachment
Required
Find AB
We have:
[tex]\sin(25) = \frac{9}{c}[/tex]
Make c the subject
[tex]c = \frac{9}{\sin(25)}[/tex]
[tex]c = 21.3[/tex]
From the attached triangle;
[tex]AB = c = 21.3[/tex]
Hence:
[tex]AB = 21.3[/tex]
solve by the substitution method
6x+5y =-26
-9x+y= 56
Answers
Answer:
I think its well point form is (- 31/6, 19/2)
and equation form is x= - 31/6, y= 19/2
Step-by-step explanation:
Hope it helps!!!
Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages
Answers
Answer:
16 pages
Step-by-step explanation:
1 hour= 2 pages written of notes
so 8 hours of notes = 8x2=16 pages
A batter gets 6 hits in 12 times at bat. What is the experimental
probability that she will get a hit in her next time at bat?
Answers
Answer:
1/2 or 50% or .5
Step-by-step explanation:
She hits at .500 that's pretty good. I'd take her on my fantasy team.