Which equation represents the line that passes through the points (1, 1) and
(-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11
PLEASE HELP
ILL GIVE YOU BRAINIEST
Answers
Answer:
Option (B)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line which passes through the points (1, 1) and (-4, 7) will be,
m = [tex]\frac{7-1}{-4-1}[/tex]
= [tex]-\frac{6}{5}[/tex]
By substituting the value of m in the equation,
y = [tex]-\frac{6}{5}x+b[/tex]
Since, this line passes through (1, 1),
1 = [tex]-\frac{6}{5}(1)+b[/tex]
b = [tex]1+\frac{6}{5}[/tex]
= [tex]\frac{11}{5}[/tex]
Therefore, equation will be,
[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]
5y = -6x + 11
6x + 5y = 11
Option B is the answer.
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The price of a television is $245. The sales tax rate is 8%. What is the amount of sales tax?
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Step-by-step explanation:
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11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.
I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.
Answers
Explanation: We can make a linear equation given the problem, where 2.75 is the constant and 0.25 is the slope. M can represent miles 28.5 is what we want the equation to equal, so it will be on one side of the equation.
We can simply add the $3.50 tip to the constant to account for it
Thus we have 28.50=0.25m+6.25.
Solving for m gives us 89 miles.
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Answers
=========================================================
Explanation:
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If we plug x = 0 and y = 0 into the equation, we end up with,
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We get the same thing on both sides, so we have a true equation.
Since we have a true equation, we've shown that (0,0) is a solution.
Visually this indicates (0,0) is on the line y = 3x. Put another way, the line y = 3x goes through the origin.
A game lasts 7/8 hours.Charmaine played 5 of these games.
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Answer:
4.4 hours
Step-by-step explanation:
Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive.
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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If a bus driver leaves her first stop by 7:00 a.M., her route will take less than 35 minutes. If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Write an inequality which represents the time it takes to drive the route, r.
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Answer:
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Answer:
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Step-by-step explanation:
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Please leave a brainliest mark and a thanks (:
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Step-by-step explanation:
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Answer:
the answer to your question is 5.85987
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Answers
Incomplete question. The remaining part of the question reads;
Here are the places they could visit:
Big City Zoo> 36 miles from Crosstown; Entrance Fee: $2.5Prison Museum> 30 miles from Crosstown; Entrance Fee: $6.75Space Science> 10 miles from Crossword; Entrance Fee: $11.25I calculated the cost of going to 'Big City Zoo and Space Science'.
Answer:
Big City Zoo = $3.86
Space science = $1.35
Step-by-step explanation:
For Big City Zoo:
Entrance fee: $2.5 x 25 = $62.5
Charges per mile: $6.5 x 36 = $234
Total cost of trip= $296.5
Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).
For Space Science:
Entrance fee: $6.75 x 25 = $168.75
Charges per mile: $6.5 x 10 = $65
Total cost of trip= $233.75.
Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).
What is the distance between A(3,7) and B(4,2)?
Round your answer to the nearest tenth.
A. 5.1
B. 4.9
C. 11.4
D. 7.9
Answers
Answer:
A. 5.1Step-by-step explanation:
[tex]d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\A(3,7)\quad\implies\quad x_A=3\,,\ y_A=7\\\\B(4,2)\quad\implies\quad x_B=4\,,\ y_B=2\\\\d=\sqrt{(4-3)^2+(2-7)^2}= \sqrt{1^2+(-5)^2}= \sqrt{1+25}= \sqrt{26}\approx5.1[/tex]
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5-90.3
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Step-by-step explanation:
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Answers
Answer:
A. The length of the third side is approximately 5 feet.
B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
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The length of the third side is approximately 5 feet.
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[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
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A ≅ [tex]88^{o}[/tex]
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Then,
A + B + C = [tex]180^{o}[/tex]
[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]
[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]
C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]
= [tex]32^{o}[/tex]
C = [tex]32^{o}[/tex]
Thus,
A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Help ill give brainlist
Answers
Answer:
Congruent is the answer
Hello, could someone answer this question for me please?
simplify (1 + i) + (-2 + i).
Answers
Answer:
- 1 + 2i
Step-by-step explanation:
Given
(1 + i) + (- 2 + i) ← remove parenthesis
= 1 + i - 2 + i ← collect like terms
= - 1 + 2i
Remember the question that you helped me with?
can you tell me how I can show my work and get the answer
Because I need to show my work on those two problems
Can you guys also show your work to be and tell me how you guys got the answer because I need to show my work
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Answer:
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23 rides, with 22 full and the first one having 301 people.
----------------------------------------------------------------------------------------------
There are 879,575 tickets sold across 755 theatres. Per theatre,
879,755 / 755 = 1,165 tickets per theatre
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20 Points!
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if you have another problem like this i recommend desmos it’s a free online graphing calculator to help you
marking brainliest to whoever gives me the write answer
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Step-by-step explanation:
I have attached the answer above
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Hello!
[tex]\large\boxed{V = 471cu ft}[/tex]
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[tex]V = h(\pi r^{2})[/tex]
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Use the given height and radius to solve for the volume:
[tex]V = 6(5^{2}\pi )\\V = 6 * 25\pi \\\\V = 471 cu ft[/tex]
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3.65 through 3.74
Step-by-step explanation: