Answer:
Option B 6x-7y = -11 is correct
Step-by-step explanation:
We need to write the equation of the given line in standard form.
The points are (1/2,2) and (3,1)
The equation used is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
where m is the slope.
Finding slope :
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
x₁= 1/2, y₁=2, x₂=-3, y₂=-1
Putting values:
[tex]m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}[/tex]
Now taking point (1/2,2) and slope m = 6/7 finding equation:
[tex]y-y_{1}=m(x-x_{1})y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11[/tex]
So, Option B 6x-7y=-11 is correct
Keywords: Standard form of the equation
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST IF THIS HELPS YOU LEARN! :)
Equation of this line in standard form:
6x − 7y = −11
Given points:
(-3, -1) ; (1/2 , 2)
We need to write the equation of the given line in standard form.
The points are (1/2,2) and (-3,-1)
The equation used is:
(y - y1) = m (x - x1)
m = slope = y2 - y1 /x2 - x1
Now,
(-3,-1) : (x1 , y1)
(1/2,2) : (x2 , y2)
m = slope = y2 - y1 /x2 - x1
m = 2- (-1)/ 1/2 - (-3)
m = 6/7
Substitute the values in the standard form,
y - (-1) = 6/7 [x- (-3)]
⇒6x−7y=−11
Hence
Equation of this line in standard form:
6x − 7y = −11
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A stock lost $3.75 of its value each day for 10 consecutive days. What is an interpretation of the product of -3.75 x 10
Answer:
ching chon me no fresnh lol
Step-by-step explanation:
ching chon me no fresnh lol
ching chon me no fresnh lol
what does 3000+1000=
Solve by factoring:
X^2-13x-14=0
Answer:
x = -1 and x= 14
Step-by-step explanation:
x^2 -13x -14=0
x^2 + x- 14x -14 = 0
x(x+1) -14(x+1) = 0
(x+1)(x-14) =0
x+1 = 0
x= -1
x-14=0
x= 14
Answer:
x = -1, x = 14.
Step-by-step explanation:
Find the missing side, x, rounded to the
nearest whole number.
Answer:
here's what the triangle should look like with all the values
Step-by-step explanation:
hopefully this helps :)
Which pair of angles is supplementary?
Answer:
I need to know the options to be able to answer
Edit your answer and attach the option and I'll gladly help you
May I have brainliest please? :)
HELP
Does this circle have a radius or diameter?
Answer:
Radius
Step-by-step explanation:
The radius is a straight line from the center to the circumference of a circle
The diameter is a straight line, from circumference to circumference, that passes throught a citcle's center
Please help, I will give five stars.
Answer:
C
Step-by-step explanation:
So I don’t know if you don’t know how to do it but imagine right to explain it ... You good have to add oh yeah P2 together and all numbers together and all the p together see this is why I did use different colors. Have an amazing day :)
40% of 250 students have part-time jobs. How many students have
part-time jobs?
Answer:
100 students
Step-by-step explanation:
40/100 x 250 = 100Answer:
100 Students
Step-by-step explanation:
[tex]\frac{250*40}{100} =100 students[/tex]
Use distributive property and area models to solve these equations . Show your work.
4 x 9.4 6.4 x 1.2
3.5 x 4.9 8.4 x 5.2
Answer:
hablan español es que yo les pudiera ayudar pero no se tanto ingles como ustedes
Write an equivalent expression using commutative property of multiplication.
4 x (6 x 2) =
Answer:
im pretty sure it should be 4 x (2 x 6)=
if the answer is needed its 48
Step-by-step explanation:
factor the following expression 12y - 16
Answer:
it's 4(3y-4)
Step-by-step explanation:
shout out to jazzy6805 for correcting me
Answer:
4(3y-4)
Step-by-step explanation:
sorry if wrong
Having trouble finding Z.
z would be 115. you know that one angle is 65, so you'd subract 65 from 180, leaving you with an answer of 115. please mark brainliest and have a great day.
What is the absolute value of -6
Answer:
6, man
Step-by-step explanation:
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation
This question is incomplete, the complete question is;
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation ?
Multiple Choice
A. 0.2 square ounces
B. 0.5 square ounces
C. 0.7 square ounces
D. 1.2 square ounces
Answer:
Option A) 0.2 square ounces is the correct answer
Step-by-step explanation:
Given that;
two strains of mice where raised in the environment and while one is inbred, the other is genetically heterogeneous.
The total variance for the inbred strain = 0.5 square ounces
total variance for the heterogeneous strain = 0.7 square ounces
relative amount of variance due to genetic variation = ?
The relative amount of variance due to genetic variation can be gotten by taking the difference of the total variance of both mice
so;
relative amount of variance due to genetic variation = variance for the heterogeneous strain - total variance for the inbred strain
we substitute our values
relative amount of variance due to genetic variation = 0.7 - 0.5
relative amount of variance due to genetic variation = 0.2 square ounces.
Therefore Option A) 0.2 square ounces is the correct answer
A decrease of 250 attendees
Answer:
-250 attendees or you owe 250 attendees
Step-by-step explanation:
Decrease means negative or subtracting of something.
So a decrease of 250 attendees is -250
HURRY PLEASE!!!! I NEED TO TURN THIS IN SOON
i need an explanation on how you solved it too.
Answer:
X = 38° and w = 65°.
Step-by-step explanation:
Hey there!
Looking through figure, we get;
(3x + 1)° = (2x + 9)° + 30° { Exterior angle of triangle is equal to the sum of opposite adjacent interior angles}
(3x + 1)° = 2x + 9° +30°
or, 3x - 2x = 39° - 1°
x = 38°
X = 38°
Therefore, x = 38°
For w:
(3x + 1)° + w = 180° (being linear pair)
(3*38+1 )°+ w = 180°
115°+ w = 180°
w = 180° -115°
Therefore, w = 65°
Hope it helps...
Expanded form of 13.028
Answer:
Expanded form of 13.028
Step-by-step explanation:
13028/1000
.
a set of data items is normally distributed with a mean of 60. convert the data item to a z score if the standard deviation is a as given. data item : 56 standard Deviation 4
A. 4
B. -1
C. 1
D. -4
The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.
Option B is the correct answer.
We have,
To convert a data item to a z-score, you can use the formula:
z = (x - μ) / σ
Where:
z = z-score
x = data item
μ = mean
σ = standard deviation
In this case, the data item (x) is 56, the mean (μ) is 60, and the standard deviation (σ) is 4.
Plugging these values into the formula.
z = (56 - 60) / 4
z = -4 / 4
z = -1
Therefore,
The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.
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PLEASE HELP!
If Mr Mantle invests $15,000 in an account with 8% interest compounded
weekly how much would he have after 9 years?
a) $19,019,635.24
b) $16,119.74
c) $30,799.45
d) $30,798.77
Answer: c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because if you multiple 15,000 by 8% it will give you 1,200 and you multiple it by 15,000 and you will get close to a
In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.
Answer:
7
Step-by-step explanation:
\underline{\text{Solution Method 2:}}
Solution Method 2:
Use original formula
a^2=b^2+c^2-2bc\cos A
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
\text{Since we are finding }\angle M\text{,}
Since we are finding ∠M,
\text{plug in }2.3\text{ for side }a:
plug in 2.3 for side a:
Opposit the angle we want
2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M
2.3
2
=6.6
2
+8.7
2
−2(6.6)(8.7)cosM
Plug in values. Side "a" is opposite the wanted angle.
5.29 = 43.56+75.69-114.84\cos M
5.29=43.56+75.69−114.84cosM
Square sides.
5.29 =
5.29=
\,\,\color{white}{-} 119.25-114.84\cos M
−119.25−114.84cosM
Add.
-119.25=
−119.25=
\,\,-119.25
−119.25
-113.96=
−113.96=
\,\,-114.84\cos M
−114.84cosM
\frac{-113.96}{-114.84}=\cos M
−114.84
−113.96
=cosM
Divide to solve for cos(A).
M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}
M=cos
−1
(
−114.84
−113.96
)≈7.098≈7
∘
The angle according to the given data about the triangle will be equal to 7°.
What is an angle?An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol ∠.
Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.
As per the given information in the question,
The length of the sides is given as:
l = 8.7 cm
m = 2.3 cm
n = 6.6 cm
Use the formula given below to find the angle,
a² = b² + c² - 2bc cos A
The formula modified to the information will be,
m² = n² + l² - 2nl cos M
2.3² = 6.6² + 8.7² - 2(6.6)(8.7)cos M
5.29 = 43.56 + 75.69 - 114.84 cos M
-119.25 + 5.29 = -114.84 cos M
cos M = 113.96/117.84
M = cos⁻¹ 0.992
M = 7.09 ≈ 7°.
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6, b = 3 and c = 2:
2(a + b) – c = ______
Answer:
16
Step-by-step explanation:
2(6 + 3)-2
2x6=12 and 2x3=6
(12+6)-2
12+6=18
18-2=
16
pls anwer quick, i need this before tomorrow
s the relation shown in the table below a function? Explain. *
(NEED HELP ASAP)
Answer:
it is not a function
Step-by-step explanation:
Its not a function because the number 3 in the input is being repeated, and when a domain number is repeated its not a function
A store buys a camera for $80 and decides to markup the price 35%. How much does the camera sell for?
Answer:
The camera is sold for $ 59.26.
Step-by-step explanation:
From the statement we understand that the new price of the camera ([tex]C'[/tex]) is calculated by:
[tex]C' = \frac{C_{o}}{\left(1+\frac{r}{100} \right)}[/tex] (1)
Where:
[tex]C'[/tex] - Price after increase, measured in US dollars.
[tex]r[/tex] - Increase rate, expressed in percentage.
If we know that [tex]C_{o} = 80\,USD[/tex] and [tex]r = 35[/tex], then the new price of the camera is:
[tex]C' = \frac{80\,USD}{1+\frac{35}{100} }[/tex]
[tex]C' = 59.26\,USD[/tex]
The camera is sold for $ 59.26.
(03.02 MC)
Which of the following is a factor of 12x2 − 4x − 1? (6 points)
Group of answer choices
A. 6x − 1
B. 2x + 1
C. 2x − 1
D. None of the above
Answer:
C) 2x - 1
Step-by-step explanation:
12x² - 4x - 1 = 12x² - 6x + 2x - 1
= 6x(2x - 1) + (2x - 1)
= (2x - 1) (6x + 1)
Can somebody please help me out?
Answer:
A
Step-by-step explanation:
You can't square a negative number, so the number must be non real.
Apples are selling for $0.36 a pound. Charmaine spent $4.86 on apples. How many pounds of apples did Charmaine buy?
I pounds
Answer:
13.5 pounds
Step-by-step explanation:
What is the product of –24 and 35?
Answer:
-840
Step-by-step explanation:
"Product" means to multiply, so you multiply -24 by 35. Since -24 has a negative, negative times a positive will equal a negative number.
(Negative times negative is positive.)
(Negative times positive is negative.)
(Positive times positive is obviously positive.)
Using these simple rules, we can do this:
Simply multiply -24 by 35, or you can multiply 24 by 35 which is 840, but DON'T forget to put a negative symbol!
Hope this helps! Let me know if there is anything else.
What is an equation of the line that passes through the point (6, 7) and is parallel to
the line 2x - 3y = 9?
Answer:
Step-by-step explanation:
If it is parallel with the line 2x-3y=9
Both of them have same slope so
2x-3y=9 turn this into slope intercept form first
-3y=9-2x
Y=9/-3 + -2x/-3
Y=2/3x - 3 the slope of this equation is ⅔
So our new equation will be
Y=⅔x +b
Since (6,7)
On the line
6=⅔(7)+b
b= 6-14/3=4/3
Y=⅔x+4/3 (slope intercept form)
3y-2x=4 ( general equation of line )
The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19
The equation of a line in point slope form is expressed as
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line.
Given the equation 2x - 3y = 9
Rewrite in standard form y = mx + b
-3y = -2x + 9
y = 2/3 x - 3
Compared with the standard, the slope of the line is 2/3
Substitute the slope and the point into the point slope equation.
y - 7 = 2/3 (x - 6)
3(y-7) = 2(x-6)
3y - 21 = 2x - 2
3y - 2x = 19
Hence the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19
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4 1/10 -3 3/8=.....?
Answer:
29/40
Step-by-step explanation: