Condition for infinite number of solutions (coincident lines) :-
=》a₁/a₂ = b₁/b₂ = c₁/c₂
Equations :-
1) y = -3x + 6
=》y + 3x - 6 = 0
2) By - 9x + 18 = 0
Here,
a₁ = 1, a₂ = B
b₁ = 3, b₂ = -9
c₁ = -6, c₂ = 18
Now substitute..
a₁/a₂ = b₁/b₂ = c₁/c₂
=》1/B = 3/-9 = -6/18
=》1/B = -3/9 = -6/18
Now,
=》a₁/a₂ = b₁/b₂
=》1/B = -3/9 (cross multiplication)
=》1 × 9 = -3B
=》9 = -3B
=》9/-3 = B
=》-3 = B
OR
=》a₁/a₂ = c₁/c₂
=》1/B = -6/18 (cross multiplication)
=》1 × 18 = -6B
=》 18 = -6B
=》18/-6 = B
=》-3 = B
The value of B if the following linear system has an infinite number of solutions is -3.
_______
RainbowSalt2222 ☔
2x-3y=5.5
What is the solution to the system of equations shown above
Answer:
⸻⸻⸻⸻⸻
Solving
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Simplifying
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
⸻⸻⸻⸻⸻
Add -3y to each side of the equation.
2x + 3y + -3y = 5.5 + -3y
⸻⸻⸻⸻⸻
Combine terms: 3y + -3y = 0.
2x + 0 = 5.5 + -3y
2x = 5.5 + -3y
⸻⸻⸻⸻⸻
Divide each side by 2.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Simplifying.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Cuál es la altura (h) del velero
Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m
Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.
El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.
Podemos usar la relación trigonométrica:
Tan(θ) = (cateto opuesto)/(cateto adyacente)
Reemplazando los valores que conocemos, obtendremos:
Tan(55°) = h/3m
Tan(55°)*3m = h = 4.28m
La altura h del velero es 4.28m
Sí quieres aprender más, puedes leer:
https://brainly.com/question/22050734
Elias is making copies of a business meeting agenda. He needs one copy per person. If there are 3 representatives from each department attending, and there are 9 departments total, how many copies does he need to make?
Answer:
27 copies
Step-by-step explanation: since there are 3 representatives for each department and there are 9 then you multiply 9 and 3 to get your answer.
help me with this calculation
(X-1).(1-x)
[tex](x-1) (1-x)\\\\=(x-1)(-1)(x-1)\\\\=-(x-1)^2\\\\=-(x^2- 2x +1)\\\\=-x^2+2x-1[/tex]
you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?
Answer:
7.6m
hope this helps :)
What is an equation of the line that passes through the point (4, −1) and has
slope −5?
Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)3(x-4)-(2x+8) simplify
Answer:
x-20
Step-by-step explanation:
check a math app if u want to see
4(4 + 7x) + x 2 -6x +5
Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer
Answer:
61.8
Step-by-step explanation:
[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]
Math expert please simplify this I am confuse thanks you
Answer:
11
Step-by-step explanation:
39 - 6 / 3
= (39 - 6) / 3
= 33 / 3
= 11
Answer:
a-2
Step-by-step explanation:
(3a-6)/3 You can factor the numerator to 3(a-2) so you have
[tex]\frac{3(a-2)}{3}[/tex]
simply divide by the 3->
a-2
7. Veronica brought her turtle out of its aquarium for 15 minutes every
night for 7 days. How many total minutes did she bring her turtle
out of its aquarium? Write another scenario that uses the same numbers.
Help me plz I know the answer, but I need help writing another scenario that uses the same numbers.
Answer:
Brittany took a 15 minute walk every morning for 7 days. How many minutes did she walk for?
Step-by-step explanation:
You might be able to use this.
In Martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that PE is their favorite class. Show your work to explain how to determine whether more students prefer social studies or PE. (5 points)
pls Help!
Answer:
More students like PE
Step-by-step explanation:
100÷20=5
1 student = 5%
4×5=20
20% students favourite is social studies
75%>20%
Help help help help help help help
Answer:
(1,1)0that is the answer I think
Answer:
A = 1,1 B = 4,2 C = 2,4
Explanation:
90 cw (270 ccw) - Same y, opposite x.
180 - opposite x, opposite y
270 cw (90 ccw) - opposite y, same x
Heeeeelllllllppppppp
1.
[tex]y=\frac{5}{3} x-2[/tex]
2.
[tex]y=-2x+2[/tex]
3.
[tex]y=x+5[/tex]
4.
[tex]y=\frac{1}{4}x[/tex]
The number of fish in a lake decreased by 15% between last year and this year. This year, there were 51 fish in the lake. What was the population last year? Consider creating a tape diagram, to help you make sense of the situation.
Answer:
234
Step-by-step explanation:
the d of c e rt rt egr yr oigj rethoy ejtheruot utheoig eoigh eoijg oeijrg ioetjg eroitj e eiotj ertioj wet df fv 1q3r 2396 e059i58 the end oej etejg rtyehrThe answer to your question is 7.65.
Express 4/20 as a percentage.
Answer:
20%Step-by-step explanation:
Express 4/20 as a percentage.
4/20 = 1/5
100 * 1/5 = 20%
Answer:
20%
Step-by-step explanation:
Hey there,
[tex]\frac{4*5}{20*5}[/tex]
[tex]\frac{20}{100}[/tex]
= 20%
Hope this helps you.
Let me know if you have any other questions :-)
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
đối với hai bài toán ước lượng cho u p
Chuong2: ƯỚC LƯỢNG THAM SỐ, môn thống kê ứng dụng
-4= 6 + b I need help in this question
Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.
Answer:
The answer is 3 hours
Step-by-step explanation:
The walls and ceiling of a hotel room are to be painted. The ceiling is a 22-foot square, and the walls are 8 feet tall.
What is the surface area of the walls and ceiling to be painted? Ignore any doors or windows.
Answer:
Step-by-step explanation:
ceiling 22² = 484 ft²
walls 4(22)(8) = 704 ft²
Total 1188 ft²
I need help with b .
Answer:
Finding a common denominator is the same as finding a common multiple. You can multiply the denominators by each other, or list out the multiples of each denominator. Multiplying by others' unique factors gives the least common denominator.
Graph the set of real numbers on a number line. {x|-3 < x and x< 1}
Answer:
9
Step-by-step explanation:
8000000000000
9
0
9
A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?
Answer:
Length = 500, Width = 50
Step-by-step explanation:
EQUATION:
2(10x) + 2x = 1100
20x + 2x = 1100
22x = 1100
x=50
what is 7/9÷1/3 plz help thanks
Answer:
[tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
Alrighty, when dividing fractions there is a trick called "keep, change, flip".
Step 1: Keep- Keep the first fraction the same
[tex]\frac{7}{9}[/tex]
Step 2: Change- Change the division sign to a multiplication sign
[tex]\frac{7}{9} *[/tex]
Step 3: Flip- Flip the second fraction (the reciprocal)
[tex]\frac{1}{3} --->\frac{3}{1}[/tex] [tex]\frac{7}{9} * \frac{3}{1}[/tex]
Then, you multiply straight across
[tex]\frac{7}{9} * \frac{3}{1} = \frac{21}{9}[/tex]
Now, we simplify
[tex]\frac{21}{9} = \frac{7}{3} = 2\frac{1}{3}[/tex]
68% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number of US adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, (c) less than four.
Answer:
A) 12.29%
B) 81.33%
C) 1.55%
Step-by-step explanation:
This is a binomial model, and I assume you're meant to use a calculator to solve.
A)
This is what I have in my notes for the binompdf function:
binompdf(n, p, x) - find the probability of exactly x successes in n trials given p probabilityThat is exactly what we want in this case, we're looking for exactly 5 people who meet the conditions (successes) given n trials and p probability.
Using a calculator:
binompdf(10, 0.68, 5) ≈ 0.1229
That means you have about a 12.29% chance to randomly select exactly 5 adults who have little confidence in newspapers.
B)
For this one, use the binomcdf function:
binomcdf(n, p, x) - find the probability of x or fewer successes in n trials given p probabilityIn this case, we're looking for more, not less. However, you can think of the probability of getting more than 6 as just the probability of not getting less than 6.
With a calculator:
binomcdf(10, 0.68, 5) ≈ 0.1867
That means you have about an 18.67% chance to randomly select 5 or less people. We're looking for more though. As said above, the probability of getting 6 or more is just the probability of not getting 5 or less. To find the probability of something not happening, just subtract the probability from 1.
1 - 0.1867 = 0.8133
An 81.33% chance to randomly select at least 6 adults who have little confidence in newspapers.
C)
Same as the above, I don't see a need to explain it all again. Use binomcdf:
binomcdf(10, 0.68, 3) = 0.0155
Notice I used 3 rather than 4. binomcdf calculates x or fewer, or 'rather less than or equal to'. We want just 'less than 4', and that means 'less than or equal to 3'.
That's a 1.55% chance to select less than 4 adults with little confidence in newspapers.
Simplify the liner expression
−2/3a+1/8−1/6a−3/4
Simplify the expression.5(z+4)+5(2−z)
Answer:
30
Step-by-step explanation:
Hope this helps!!! :))
What is the range for this data set?
22, 7, 14, 13, 38, 12, 19,
17, 49, 13, 9, 18, 36
Answer:
from 7 to 49 or (7, 49)
Step-by-step explanation:
Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.
Which equation represents a circle whose center is (3,-1) and whose radius is V6?
Step-by-step explanation:
(Pie)r^2 that is the area of a circle