What is an equation of the line that passes through the points (3, 0) and (6, -1)
Answers
Please mark BRAINLEST!!
Answer:
(Note: This is assuming that the answer can be in any format.)
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Step-by-step explanation:
When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.
Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:
[tex]\frac{-1-0}{6-3}[/tex]
[tex]\frac{-1}{3}[/tex]
So, the slope is [tex]-\frac{1}{3}[/tex].
Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Related Questions
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answers
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
2x - 2 = 3x - x - 2 solve for x
Answers
Answer:
i think x=0
Step-by-step explanation:
2x-2=2x-2
2x=2x
x=0
Answer:
NAN
Step-by-step explanation:
x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answers
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
which function has a y-intercept of 3
Answers
Answer:
2 and 3
1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count
Step-by-step explanation:
Substitute X for 0 and solve from there.
3(0) - 2y = -6
0 - 2y = -6
y = 3
y - 3 = -2(0)
y - 3 = 0
y = 3
If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.
Answers
Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
find the slope thanks PLEASE
Answers
Answer:
37) -1/3
38) 8/5
39) 0
40) -2/3
Step-by-step explanation:
Is the following table proportional or non-proportional?
Answers
Answer:
proportional
Step-by-step explanation:
y= -7x
Write the slope intercept form of the equation of the line that passes through the points (6,1) and (12,2)
Answers
Answer:
y=1/6x
Step-by-step explanation:
What is the common factor of 26 and 38
Answers
Answer: The GCF is 2 and the LCF is 1
Step-by-step explanation:
Geometry question plz help
Answers
Answer:
I think A
Step-by-step explanation:
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
Answers
Answer:
2739
Step-by-step explanation:
3000-(52+276:8)-(1750:10)
3000-(52+34)-175
3000-86-175=2739
If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3
Answers
Answer:
[tex]m_2 = -\frac{3}{4}[/tex] -- (a)
[tex]m_2 = -\frac{7}{3}[/tex] -- (b)
[tex]m_2 = -\frac{1}{4}[/tex] --- (c)
[tex]m_2 = -3[/tex] -- (d)
Step-by-step explanation:
Given
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]c.\ m = 4[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
Required
Determine the slope of a perpendicular line
In geometry, the condition for perpendicularity is:
[tex]m_2 = -\frac{1}{m}[/tex]
This formula will be applied in solving these questions.
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4/3 for m
[tex]m_2 = -\frac{1}{4/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{4}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{4}[/tex]
[tex]m_2 = -\frac{3}{4}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 3/7 for m
[tex]m_2 = -\frac{1}{3/7}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{3}{7}[/tex]
Convert to *
[tex]m_2 = -1* \frac{7}{3}[/tex]
[tex]m_2 = -\frac{7}{3}[/tex]
[tex]c.\ m = 4[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 1/3 for m
[tex]m_2 = -\frac{1}{1/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{1}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{1}[/tex]
[tex]m_2 = -\frac{3}{1}[/tex]
[tex]m_2 = -3[/tex]
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!
Answers
Answer:
answer attached
Step-by-step explanation:
STOP RIGHT THERE. Please help me.
Answers
Answer:
the answer is B
Step-by-step explanation:
Well we can get rid of A and D because we're not adding money, we're subtracting (thats what a sale is)
So we're left with B and C.
To find what 17% of 3 is, we multiply 3 x 0.17, which totals to 0.51. It can't be C because you find 51% of 3 which is not what we're looking for, so it is B.
PLEASE HELP zoom in to remove blur
Answers
Answer:
The answer is (x + 12) and (x - 12)
2
Which list orders integers from least to greatest?
A.
-2, -4, -5, 7, 3
B.
-2, -4, -5, 3, 7
C.
-5, -4, -2, 3, 7
D.
-5, -4, -2, 7, 3
Answers
If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?
Answers
Answer:
18.00$
Step-by-step explanation:
Answer:
$18.00
Step-by-step explanation:
Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00. You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings. Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.
10 points
What is the value of x in the figure
below?
(4x)
A.
x = 18
B. X= 22
C.
x = 30
D. x = 45
Pls help
Answers
Answer:
A
Step-by-step explanation:
I hope this helps and sorry if I'm wrong!
Which equation represents the relationship between the x-and y-values shown in the table?
Answers
7*3=21-4=17
5*3=15-4=11
3*3=9-4=5
2*3=6-4=2
In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)
Answers
Answer:
8640 waysStep-by-step explanation:
Arranging the books of each subject:
Math:
Combination of 2 books → 2! = 2Physics:
Combination of 3 books → 3! = 6Chemistry:
Combination of 5 books → 5! = 120We also need to consider the subjects.
There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways
So the total number of combinations is:
2*6*120*6 = 8640Answer:
2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) waysHence, total ways are (2×6×120×6) ways =8640 ways.
8640 is the right answer.A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Answers
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Without the pass, the cost per ride is 2.00 per ride.
With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.
You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.
The formula for total cost is as follows:
without the pass:
C1 = 2*x
with the pass:
C2 = 15.75 + 1.25*x
You want to know when C2 becomes less than C1.
C2 < C1 is the inequality equation you are looking for.
Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:
15.75 + 1.25*x < 2*x
Subtract 1.25*x from both sides of this equation to get:
15.75 < 2*x - 1.25*x which becomes:
15.75 < .75*x
Divide both sides of this equation by .75*x to get:
15.75/.75 < x
Simplify to get:
21 < x
21 < x is the same as x > 21.
Your answer is the C2 becomes cheaper than C1 when x > 21.
If you make x = 21, then:
C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42
They are equal.
If you make x = 22, then:
C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25
43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.
Is this a function? Explain with full sentence
[(2,3) (2,4) (2,5) (2,3)]
Answers
Answer:
no their is not supposed to be any repeating x's
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
(Giving brainliest to correct answer)
Congruence
Answers
Answer:СССР в зеркале
Кто первый спустит курок
Убеждаешь - ложно заявляя свободу личности.
Бушующие войны и П-С-О,
Космос, О-С-В
Брежнев Рейган
Страх оружия С-Я-С
До взаимного уничтожения
Силой и мощью
Союза Советских Республик
Патриоты работают силой порядка
Светлое строят будущее
Наука, Творчество, Семья, Союз,
Образование, Коммуналка, Труд,
Дисциплина, Планировка, Доброта.
Родина – поём тебе,
В верности клянёмся,
Пролетарии всех стран Соединяйтесь
Серп и Молот!
Step-by-step explanation:
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x . Another side is 12 more than times two the length of the bottom of the triangle. The last side is 7 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answers
Answer:
P = 4x + 19Step-by-step explanation:
Given triangle with sides:
a = xb = 2x + 12c = x + 7Perimeter is:
P = a + b + c ⇒P = x + 2x + 12 + x + 7 = 4x + 19 ⇒P = 4x + 19Substitute x=5 into the expression 4x-8 and simplify
Answers
Answer:
4(5) - 8
20 - 8
= 12
Which of the following expressions will help him determine the length of segment BE? BE = AD BE = CD BE equals CD times AD over AE BE equals CD times AB over AC
Answers
Answer:
BE equals CD times AB over AC
Step-by-step explanation:
took the test
Answer:
BE = CD times AB/AC
Step-by-step explanation:
I took the test. And also, we know that BE + CD. so, the only one that we can eliminate from that is BE =AD. That's about all the explanation I can give you, sorry, but that is the right answer.
HELP with this problem please
Answers
Answer: 2
Step-by-step explanation:that is the one that is used the most?
Write 89 tenths in standard form *
Answers
89 tenths......................
Answer:
.89
Step-by-step explanation:
Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.
Multiply. Express your answer in simplest form.
Answers
Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
Make a 2/3 a fraction with a denominator of 36
Please show work
Answers
Answer:
24/36
Step-by-step explanation:
Do 36 divided by 3 which is 12 then multiply 12 by 2!
I hope this helps and have a great day! :)
Answer:
The correct answer is 24/36
Step-by-step explanation:
24/36 is correct because you divide 36 by the denominator of 3 to equal 12 so then multiply 12 by 2 to equal 24 so the correct answer is 24/36.
HAVE A GOOD DAY!