The equation of the line in standard form is 6x - 7y = - 11
How to represent linear equation in standard form?The standard form for linear equations in two variables is Ax + By = C.
Therefore, using (-3, -1)(1 / 2, 2)
y = mx + b
where
m = slopeb = y-interceptHence,
m = 2 + 1 / 1 /2 + 3 = 6 / 7
Hence,
-1 = 6 / 7(-3) + b
- 1 = - 18 / 7 + b
-1 + 18 / 7 = b
b = -7 + 18/ 7
b = 11 / 7
Therefore,
y = 6 / 7 x + 11 / 7
Using the standard form,
6 / 7 x - y = - 11 / 7
6x - 7y = - 11
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The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
How to get the equation of the line?
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
[tex]a = \frac{2 - (-1)}{1/2 - (-3)} = \frac{3}{3.5} = \frac{6}{7}[/tex]
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
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Let the amount of money Tabitha started with be represented by x.
Tabitha then earned $52, spent $40,earned $28, and spent $58.How
much money, in terms of x, does Tabitha have now?
If Tabitha started with $50, then she would have $38 left.
Step-by-step explanation:
50 + 52 = 102.
102 - 40 = 62.
62 + 28 = 90.
90 - 58 = 38.
Answer:
38
Step-by-step explanation:
hi
exact volume of this cylinder
I am taking this quiz but I'm pretty sure its....c
Answer:
Volume=πr2h=π·42·8≈402.12386
Step-by-step explanation:
3x+2>29. solve for x
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
12.Se consideră mulţimile A={3x-1, 2x+1, 4x+2} şi B={x+1, x+2, 2x+4} unde x ∈ N. Valoarea lui x pentru
care mulţimile A şi B este:
Answer:
which language is this????
2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
àaaaaaaaaaaaass la verdad no se
convert 120 grains to dram
HELP AGAIN I NEED IT BADLY
Answer:
A. 5b - w + 8
Step-by-step explanation:
3w + 6 - 4w + 3b + 2 + 2b
= 3w - 4w + 3b + 2b + 6 + 2
= -w + 5b + 8
= 5b - w + 8
=> A. 5b - w + 8
Hurry I need the answer and how u got it and if correct ill give you brainiest show ur work please
1..The number of early voters for the 2020 election was 129.2% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
2.. At a conference, there is a food table setup with 491 sandwiches. Of all the sandwiches, only 51 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent. 4
3..Washington State University graduated a total of 17,190 students. Of all the students, only 1.7% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
4.Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,006 trees per 0.9 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
5..There are 870 people attending a conference and 8.9% of them are from Canada. How many people are from Canada?
Group of answer choices
98
774
8
77
6
6.A local business sold the 103 items listed below. What is the average price of an item sold considering quantity?
24 notepads at $3.50 each
61 folders at $0.25 each
18 calculators at $9.00 each
Group of answer choices
$2.54
$0.89
$4.33
Answer:
1.774
2.6
3.77
4.8
5.6
6.4.33
help now pls bby pls
Answer:
Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.
Step-by-step explanation:
there are commas where they are supposed to be
Answer:
yes
Step-by-step explanation:
Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 181818 chocolate candy bars, and the second gift is a pack of 121212 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?
answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step
Step-by-step explanation:
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Answer:
There are 6 snack bags that Destiny can make.
Step-by-step explanation:
Since we have given that
Number of chocolate candy bars in the first gift =18
Number of cookies in the second gift = 12
Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,
So, Destiny can make the greatest number of snack bags is given by
So, there are 6 snack bags that Destiny can make.
The average age of students in a class is 8 years and 5 months. Express the age in seconds.
Answer:
its like 4 yrs
Step-by-step explanation:
Answer:
265,248,000 seconds
Step-by-step explanation:
Assumptions are going to be made. No leap years so every year is 365 days, and each month is 30 days. 8x365+5x30=3070 days
24x60x60=86400 seconds in one day
Multiply those two together to get the answer.
Item 4
In "My Father Is a Simple Man," how does the author develop the speaker's viewpoint toward his father?
by comparing the speaker's father with the other fathers in town
by emphasizing the fact that the speaker's father is complex and difficult to approach
by highlighting the speaker's father's work ethic, kindness, and inner strength
by recognizing that the speaker's father is beloved by the entire community
Answer:
he is an ordinary man because that is what the speaker is talking about
Answer:
The story develops the character of the speaker's father to keep things simple by not do anything extraordinary, not to compare himself to other fathers, is a devoted father on his devoted job, and is not judged by the community how or what he does in his job or the speaker.
Pls help I’ll brainlest ASAP
Find four consecutive odd integers if the sun of the first and fourth is 3 less than 3 times the second
Answer:
5
Step-by-step explanation:
1. Estimate the y intercept for the line of best fit for the data
2. What kind of correlation exists between the data graph
Answer:
10) (15, 2)
11) 5
12) positive
Step-by-step explanation:
Gym A charges $60 a month plus $4 per visit. The monthly cost at Gym B is represented by y = 4x + 50, where x is the number of visits per month. What conclusion can you draw about the monthly costs of the gyms? Since the rate per visit is less at Gym A , the monthly cost of Gym A is always more than Gym B.
Answer:
Gym A has 56 visits per month and Gym B has 46 visits per month.
Step-by-step explanation:
y=4x+60, which gives us 56
y=4x+50, which gives us 46
A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear
Solve this please! 25 points! (Include properties used)
Answer: their is no solution to this problem
Step-by-step explanation:
what is 10cm × 20cm in inches
Answer:
10cm x 20cm = 78.7402 inches
Step-by-step explanation:
10 x 20 is 200
200 cm is 78.7402 inches
Answer:
Step-by-step explanation:
a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches
Shorter Answer:
7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
Answer: 56 000 yards
LongerAnswer (going more into depth):
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches = 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6
Answer:
The ans is 3,4,5
Step-by-step explanation:
Hope it helps you Tq
5.A store had five different lengths of extension cords for sale. Four of the
lengths were 9 feet, 10 feet, 12 feet, and 8 feet. The range of the lengths
of all the extension cords was 6 feet. Which could be the length of the fifth
size of extension cords?
Answer:
Your answer is 6 feet because if the rang is 6 than the fith number would be 6.
Rang is the maximum number in this cause is 12, minis the minimum.
Is the point (1,5)a solution to the equation y=2x+3?
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{ G \: I \: V \: E \: N \: \: P \: O \: I \: N \: T}}}} : [/tex]
( 1 , 5 )✰ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\: E \: N \: \: E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]
y = 2x + 3✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\:I \: N \: D}}} }: [/tex]
Whether the point ( 1 , 5 ) , a solution to the equation y = 2x + 3 or not.[tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]
Assuming the the value of x and y as 1 and 5 respectively. Now , plug the values of x and y in the given equation & let's see whether the point ( 1 ,5 ) , solution to the equation y = 2x + 3 or not !
⟶ [tex] \large{ \tt{5 = 2 \times 1 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 2 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 5}}[/tex]
Since we got 5 on R.H.S & L.H.S, So yeah! The point ( 1 , 5 ) is a solution to the equation y = 2x + 3.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
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Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25.
Answer:
There will be 132 seats in row 25
Step-by-step explanation:
1st term = 12
common difference = 5
f(x) = 12 + 5(x - 1)
f(25) = 12 + 5(25-1)
f(25) = 12 + 5(24)
f(25)= 12+120
f(25)=132
There will be 132 seats in row 25
The number of seats is 137 with the general equation [tex](12+5n)[/tex] seats
General equation:In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Let the row number is [tex]n[/tex]
The number of seats in the first row is 12
As per the plan, each row shall have 5 more seats.
So, in the first row seats=12
In the second row seats=[tex]12+5[/tex]
In the third row seats=[tex]12+2\times5[/tex]
[tex]n^{th}[/tex] row seats=[tex]12+5n[/tex]
So, the number of seats in any row is [tex]12+5n[/tex]
Where [tex]n[/tex] is the row number
Now, for 25 rows, [tex]n=25[/tex] then,
The number of seats is,
[tex]12+5\times25=137[/tex]
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The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly
Answer:
d
Step-by-step explanation:
of course it is Charlie as he just walked 11.8 miles
write an equation to represent the following statement. k divided by 11=7. solve for k. k=?
Answer:
77
Step-by-step explanation:
77/11=7
Answer:
k=77 because 77/11 is 7
Step-by-step explanation:
Can someone help with this?
Answer:
A, 16x^9
Step-by-step explanation:
You apply the function f to x, then apply the function f to that.
f(x)=2x^3
f(f(x))=f(2x^3)=2(2x^3)^3 = 2*2^3*(x^3)^3 = 2*8*x^(3*3)=16x^9
find product of 3/8 × 4
Answer:
1 and 1/2 or 1.5
Step-by-step explanation:
3/8 × 4/1 = 3/2 = 1 and 1/2
Result in decimals: 1.5
Calculation steps:
3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8
12 ÷ 4 = 3
8 ÷ 4 = 2
= 3/2 = 1 and 1/2
A right triangle has legs e and fand hypotenuse h. The value of e = 10. The angle opposite legfis
35º. Which expression can be used to find the length of the hypotenuse?
Answer:
[tex]hyp=\frac{10}{cos(35^o)}[/tex]
Step-by-step explanation:
The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:
[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]