[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
someone help with the answer
The answer is
for parallel : y= 4/7-5x/7
for perpendicular: y=10+7x/5
What is slope- intercept equations?The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.
Given line: 5x+7y=9
when our intersection point is (5,-3) the constant
5x+7y
= 5(5)+7(-3)
= 25-21
=4
hence, 5x+7y=4
slope intercept form
7y= 4-5x
y= 4/7-5x/7
Now, for perpendicular lines:
swap the coefficients on x and y with negative sign of x in 5x+7y=9
7x-5y= constant
again, when our intersection point is (5,-3) the constant must be
7x-5y
= 7(5)-5(-3)
=35+15
=50
7x-5y=50
slope intercept form so we solve for y:
y= (50+7x)/5
y=10+7x/5
Learn more about intercept equation here:
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Solve the inequality:
8+4≥12
Answer:
I think it would be x<5
Step-by-step explanation:
hope this helps if not let me know have a blessed day
rewrite the equation in Ax+By=C form. use intergers for A,B,C
y=1/5-1
Answer:
[tex]5y=-4[/tex]
Sure hope this helps you :D
if you are standing at the cup cake table in which direction must you walk to find the swings
Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings.
What is a compass?A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:
North (N)South (S)West (W)East (E)Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings.
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y= 2x-1 5x-4y=1 is (1, 1) a solution of the system?
Answer:
equate the two euations
y = 2x - 1 multiply by 4
4y = 8x - 4 equate with the second equation
5x - 4y = 1
5x = 8x - 4 + 1
8x - 5x = 3
3x = 3
x = 1
substitute for x in any of the two equations
y = 2x - 1
y = 2(1) - 1
y = 2 - 1
y = 1
Therefore, according the solution we have got.
Yes, (1,1) is a solution to the system.
F(x)= 6•(1/3) x graph the function khan academy
[tex](0.0)(1.2)[/tex]
hope this helpsDoes anyone know the answer to X - 5y
Answer:
Slope is 1/5
y intercept is (0,0)
Ted's rectangular corn field has an area of 2,280 square feet. What is the length of the field if it's width measures 28.5 feet?
Answer:
80 feet
Step-by-step explanation:
Area = length x width
We need to find length
[tex]2280 = 28.5l[/tex]
divide both sides by 28.5
[tex]l = 80[/tex]
Will mark brainliest to anyone who can answer
Find the range of the data set 145, 612, 120, 349, 515, 212, 590.
Answer:
The biggest - the smallest
612-120=492
Answer:
612 - 120=492
Step-by-step explanation:
to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492
A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusin based on your results.
The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
From the data given:
P(pass | Morning) = 28/75 = 0.37
P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71
Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).
Learn more about the probability here:
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can someone help me with this q?
Answer:
rounded = 170 in^3 and 2nd question =2.772 in^3
Step-by-step explanation:
h: 12 1/8 = 12.125
w: 1 3/4 = 1.75
l: 8
----------------------------------
h*w*l = 169.75 in^3
rounded = 170 in^3
oh there's another.. wait
same with this question
.----------------------------------
h*w*l
10.5 * 12 * 22 = 2.772 in^3
look at the image and answer it for me please
Explain step by step how
to estimate the square root
of 13 and show your work
PLSS HELP ME WITH THIS !! 20 POINTSS
Answer: constant of proportionality = 2.5
Find the value of y…
Answer:
y = 94
Step-by-step explanation:
Linear Pair:
The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180
2x + 36 = 180 {linear pair}
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)*180
= ( 6-2)*180
= 4 * 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
[tex]\sf \boxed{y = 94^ \circ}[/tex]
Answer:
94°
Step-by-step explanation:
2x + 36 = 180 (angles on a straight line)
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180
= 4 × 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
y=94 °
Three coins are flipped.
1. Make an organized list of the sample space for this experiment.
2. Which outcomes represent the event “at least two tails”?
3. What is the probability that there will be at least two tails
I will give brainliest if I see a answer labeled like this 1., 2., 3.,
I can only give brainliest if 2 people answer
Thanks so much! (๑>◡<๑)
Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.
How many different combinations of 3 toppings can be made from the 12 options?
Answer:
36 different combinations
what is 7sqrt 28z+sqrt63z
Answer:
[tex]17\sqrt{7z}[/tex]
Step-by-step explanation:
[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]
There are three different colored candies:
red, green, and white. The probability of
selecting a red candy is 2/5 and the probability
of selecting a green candy is 1/4 What is the
probability of selecting a white candy?
PLEASE HELP
Answer:
7/20
Step-by-step explanation:
add the probabilities together and minus it by the LCM which is 20
3. A _ is a figure that extends endlessly in all directions.
Answer:
A plane is a flat surface that extends endlessly in all the directions.
PLS MARK ME AS THE BRAINLIST!!
A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle
22% of what amount is $88?
Answer: The final cost would be 68.64
Explanation: Step 1) Convert 22% to a decimal: 0.22
Step 2) Multiply that by the amount (0.22×88=19.36)
Step 3) Subtract from the amount (88−19.36)=$68.64
Answer $68.64
NO LINKS!!! For each below, tell whether the table represents a linear, exponential, inverse or no relationship. Write an equation for each table (if possible).
[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]
[tex]\large \boxed{\sf Quadratic \ Function}[/tex]
Explanation:A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.
There is a better way to understand what type of equation it is after plotting the coordinates on the graph.
Look at the attachment!After looking so, we can determine this as quadratic function.
** Not a exponential, inverse, linear function **
To find equation:Quadratic function: y = a(x - h)² + k
Locate (h, k) = (2, -4)
Take any other suitable point for example = (0, 0)
Insert values to find (a),
a(0 - 2)² - 4 = 0
4a = 4
a = 1
Now Join together: y = 1(x - 2)² - 4 --- Quadratic Equation
Exponential
It should be a parabola
The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex
So on both sides of vertex i e same distance on x from vertex the two x values have same y value .
Observe the table and find similar y values
(0,0) and (4,0)(1,-3) and (3,-3)FIND midpoint of x which is axis of symmetry
0+4/2=21+3/2=2We have been sured axis of symmetry is at x=2
Vertex (2,-4)Form equation
y=a(x-h)²+ky=a(x-2)²-4Put (5,5)
5=a(5-2)²-45=a(3²)-49a-4=59a=9a=9Final equation
y=(x-2)²-4Please solve with explanation
Answer: h₁ = ~2790.9943 meters tall
Step-by-step explanation:
[tex]h_1 = h_2 + h_3[/tex]
h₂
[tex]sin(a) = \frac{h_2}{h}[/tex][tex]sin(47^{o}) = \frac{h_2}{2200}[/tex][tex]2200sin(47^{o}) = h_2[/tex][tex]~1608.9781 = h_2[/tex]h₃
[tex]sin(a) = \frac{h_3}{h}[/tex][tex]sin(52^{o}) = \frac{h_3}{1500}[/tex][tex]1500sin(52^{o}) = h_3[/tex][tex]~1182.0161 = h_3[/tex]h₁
[tex]h_1 = h_2 + h_3[/tex][tex]h_1 = 1608.9781 + 1182.0161[/tex][tex]h_1 = 2790.9943[/tex]Work out the sheet given
Answer:
red colour is 7...blue is 3 ...green 9...yellow 13...purple 8
Help please I need an answer
Answer:
The other rectangle is 4 squares unit.
Step-by-step explanation:
Area Rectangle Formula: Area = Length * Width
Area R1 = 3 * 3 = 9
Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4
Answer: Area of a rectangle that is 4 square units.
Step-by-step explanation:
See attached for my work.
The area of a rectangle can be found with A = L * W.
What is the Surface Area and volume of this cylinder?
6 m
7 m
Figure nordrawn to scale
Use ti » 3.14 and round your answer to the nearest whole number.
Part A
What is the Surface Area?
square meters
Answer:131
Step-by-step explanation:
hope this helps <3
Need help with 21-22
Answer: 21 is b. 22 is c
Step-by-step explanation: do u need explanation.. because the questions are multiple choice???
Need help for this please
