Answer:
The solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
Step-by-step explanation:
Given the equation
[tex]-6y+11x=-36[/tex]
[tex]-4y+7x=-24[/tex]
solving the system of equations
[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]
[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]
[tex]-12y+21x=-72[/tex]
[tex]-[/tex]
[tex]\underline{-12y+22x=-72}[/tex]
[tex]-x=0[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]
solving for x
[tex]-x=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]
[tex]-12y+22\cdot \:0=-72[/tex]
[tex]-12y+0=-72[/tex]
[tex]-12y=-72[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]
[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]
[tex]y=6[/tex]
Therefore, the solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?
(I am lazy to answer this by myself so please help me)
Answer:
3
Step-by-step explanation:
3 times 4 equals 12
hope I got it right
Step-by-step explanation:
they would each get 4 pencils
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
Density is also the slope of the relationship between mass and volume. If the density 7.2 g /mL, what is the slope?
Answer:
The slope for the substance = 7.2 g/mL
Step-by-step explanation:
Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL
The density = Mass/Volume = 7.2 g/mL
The slope of mass volume relationship = (The change in mass)/(The equal change in volume)
Whereby the change is from the zero state, we have;
The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume
Therefore;
The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL
The value of the slope for the substance = 7.2 g/mL.
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?
Answer:
List Price = $ 110.00
Discount Amount = $ 33.00
help asap please does the graph represent a function
what is the slope of the line through [-1,2] and [2,-3]
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
(2,5),( 3, 6) Rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.
Answer:
The largest angle is <B.
Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.
This is a property in geometry.
Step-by-step explanation:
Please give me Brainlest!
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
ASAP 20 points!!! & BRAINLIEST!
Answer:
None are parallel.
Step-by-step explanation:
Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.
Hope this helped!
The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)
Answer:
Dynamic equilibrium
Step-by-step explanation:
Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
To know more about slope of line passing through two points here:
https://brainly.com/question/27897581
#SPJ2
Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
Answer:
Step-by-step explanation:
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
-x^5+7x^3+11x^2+10x-4
Someone, please help I'll give 10 points and brainliest to the person who answers first
it's the third option. 13x - 12y + 6xy
Answer:
C.
Step-by-step explanation:
5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
–24 + 12d = 2(d – 3) + 22
Answer:
d = 4
Step-by-step explanation:
Answer:
d = 4
Step-by-step explanation:
–24 + 12d = 2(d – 3) + 22
–24 + 12d = 2d - 6 + 22
–24 + 12d = 2d + 16
–24 + 12d - 2d = 16
12d - 2d = 16 + 24
10d = 16 + 24
10d = 40
d = 4
Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?
The distance between two towns is 120 km these are approximately 80 km in 5 miles which measurement is closer to the number of miles between these two towns
Answer:
7.5 miles
Step-by-step explanation:
5 miles in 80 km
Total distance = 120 km
120- 80= 40 km
80 km = 5miles
1 km = 5miles/ 80km
120 km = 5/80 * 120 km = 7.5 miles
This is called unitary method. First we find 1 km by dividing the miles with the number of km and then multiply the number of km to find the total number of miles.
Total distance = 120 km
120- 80= 40 km
if there are 5 miles in 80 km then there will be half of the miles in half of the km . So there will be 2.5 miles in 40 km .
So the total number of miles would be
40+80 km= 5+ 2.5 miles
120 km = 7.5 miles
What is the equation of the line perpendicular to y=-1/5x -2 and contains the point (2, -10)?
Answer:
y= 5x-20
Step-by-step explanation:
I didn't understand if I had to find the perpendicular line or parallel haha.
You’re welcome :)
Answer:
y = 5x -20
Step-by-step explanation:
for the line to be perpendicular it must have the inverse slope
therefore m = 5
no substitute the point (2, -10) in for (x, y) respectively to find the y intercept
-10 = 5(2) + b
-10 = 10 + b
b = -20
the equation will be y = 5x -20
Factor x^3 - 6x^2 + 11x - 6 with steps shown
Factor the expression
3−2−52+5+6=0
Help please and thanks
Answer:
No, it is not function. The answer is the last option in the multiple choice sequence.
Step-by-step explanation:
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Answer:
3,600 seconds
Step-by-step explanation:
multipy how many hours by 3,600
(so 1 times 3,600)
Answer:
3,600 seconds
Step-by-step explanation:
[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]
Please help with this question. Thank you
????????????????????????????
Answer:
The answer is in the 4th quadrant
Step-by-step explanation:
I really hope this helped!!! have a great day. :)
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
Can some help me?Its due tonight lol