The equation of line is (y-2) = 1/[tex]\sqrt{3}[/tex](x-2)
What is Equation of line?
The equation of a line is the algebraic representation of a line using cartesian coordinates.
The general form of the equation of a straight line is written as y = mx + cy=mx+c.
Where m is the gradient of the straight line
and c is the y-intercept of the straight line.
And
The equation of line passing through point ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) is
(y-[tex]y_{1}[/tex]) = m (x-[tex]x_{1}[/tex])
Given line in the graph passes through (2,2).
We have to find the equation of the line.
Given, angle of inclination is 30.
m = tan (angle of inclination)
m = tan 30
m = 1/[tex]\sqrt{3}[/tex]
Therefore after substituting, equation of line
(y-2) = 1/[tex]\sqrt{3}[/tex](x-2)
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A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
Answer:
15601 OR 1+100(55+100)+100
Step-by-step explanation:
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
1+100(55+100)+100
1+100(155)+100
1+15500+100
15601
If six more than 3 times a number is equal to 12 less than double the same number. choose the equation you will use to solve for the unknown number and the number (solution).
Answer: 3x + 6 = 2x - 12
Step-by-step explanation: So, the answer to what x is:- is
3x + 6 = 2x - 12
3x - 2x = -12 - 6
x = - 18
Martin Binford is an author. He has no income he would report on line 1a or line 1b of his schedule SE. He earned $143,380 in 2010 from his books. He had $3,563 in expense. How much self-employment tax does he owe?
Answer:
He owes $33556.08 worth of self employment tax.
Explanation:
consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.
in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.
While working out at the gym, Bryan spent 30 minutes lifting weights and 45 minutes on the stair-climber. What is the ratio of the time Bryan spent on the lifting weights to the total time spent at the gym?
Answer:
30/75 = 2/5 or 2:5
Hope this helps!!!
x-3/4+2/3=17/12 true?
1) 8
2) 6
3) 0
4) 4
The solution for the linear equation is x = 6, thus the correct option is the second one.
Which value of x makes the equation true?
Here we have the linear equation:
(x - 3)/4 + 2/3 = 17/12
To solve this we need to isolate the variable, x, in one of the sides of the equation.
(x - 3)/4 + 2/3 = 17/12
(x - 3)/4 = -2/3 + 17/12 = -8/12 + 17/12 = 9/12 = 3/4
(x - 3)/4 = 3/4
x - 3= 4*(3/4) = 3
x = 3 + 3
x = 6
The solution is x = 6, thus the correct option is the second one.
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Khan academy question. Can you help?
The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)
How to represent point slope equation?The point slope equation can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesThe line passes through (1, 0) and (6, -3).
Therefore, the point slope equation can be represented as follows:
m = y₂ - y₁ / x₂ - x₁
Hence,
m = -3 - 0 / 6 - 1
m = -3 / 5
m = - 3 / 5
Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)
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QUICK!! I need help please.
!!!!!!!
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Answer:
Step-by-step explanation:
When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].
Please help I don’t know what it is I’ll give lots of pointssss.
Answer:
Step-by-step explanation:
1) p - m = n
p = n + m
p - n = m
p - m = n ; p = n + m and p - n = m represents same relationship.
2)
[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]
3)
[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]
The diagonals of parallelogram LMNO intersect at point P. If MP = 2x + 5 and OP = 3x − 7, what is MP?
The value of MP in the parallelogram is 29 units.
How to find the diagonal of a parallelogram?A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.
Therefore,
The diagonals of parallelogram LMNO intersect at point P.
The diagonals of parallelogram LMNO are LN and MO.
The point P of the parallelogram divides each diagonal into exactly two equal parts.
Hence,
MP = OP
MP = 2x + 5
OP = 3x - 7
2x + 5 = 3x - 7
2x - 3x = -7 - 5
- x = - 12
x = 12
Therefore,
MP = 2(12) + 5
MP = 24 + 5
MP = 29
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find the slope of the line
Answer:
0.5
Step-by-step explanation:
want an explanation?
The product of 2 and the difference of a number and 5.
The expression for the product of 2 and the difference of a number and 5 is 2x - 10
What is an algebraic expression?An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants
These expressions also known to be made up of various mathematical or arithmetic operations, such as;
MultiplicationBracketSubtractionParenthesesAdditionDivision, etcFrom the information given, we have;
The product of 2 and the difference of a number and 5.
Let the number be x
This can be represented thus;
2(x- 5)
expand the bracket, we have;
2x - 10
Hence, the expression is 2x - 10
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Complete question:
Write the expression for
6x + 7 = – 5
what is it?
Step-by-step explanation:
I hope it will be helpful for you.
Step-by-step explanation:
6x + 7 = -5 -7 -7___________6x + -12 __ __ the two small lines mean ÷6 6x = -2
hope this helps:)
Dr. Wolf, the biologist, captures 20 fish out of a small lake behind his college. He fastens a
marker onto each of these and throws them back into the lake. A week later, he again
captures 20 fish. Of these, 2 have markers. How many fish could Dr. Wolf estimate are in
the pond?
There are 200 fishes estimated.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
captures 20 fish out of a small lake behind his college.
Now,
He again catches 20 fishes out of which 2 have markers
let the estimated fish are x.
So,
2/ 20 = 20 /x
20 x 20 = 2x
400 = 2x
x= 400/ 2
x= 200
Hence, there are 200 fishes estimated.
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Time Conversions: Convert to the asked time.
. 8 hours, 20 minutes, and 36 seconds =
hours
The answer in hours is 8.91 hours.
How do you convert minutes and seconds to hours?Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.
Given: 8 hours 20 minutes and 36 seconds
20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours
because as mentioned above 1 hour = 60 min
and 36 seconds in hours can be written as 36/ 60X60 = 1/ 100 hours or 0.01 hours .
because 1 min = 60 seconds and 1 hour = 60 min
thus 1 hour = 60 X 60 seconds
Thus the final answer is 8+0.9+0.01 hours = 8.91 hours
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the circumference of a circle is 60cm what is the area
step by step explanation please
The area of a circle with a circumference of 60cm is 286. 38cm²
How to determine the area of the circleThe formula for calculating the circumference of a circle is expressed as;
Circumference = 2 πr
Where;
π has the value pie in decimal form is = 3. 14 and in fraction form is 22/7r is the radius of a circleNow, let's put and substitute the value of circumference of the circle as 60cm in the formula
We have;
60 = 2 πr
Interchange the value for π as 3.14, we have;
60 = 2× 3.14r
Multiply the values
60 = 6.28r
Make 'r' the subject of formula by dividing both sides by the coefficient of the variable 'r'
r = 60/6.28
Find the quotient
r = 9.55cm
But we have that the formula for area of a circle is expressed as;
Area = πr²
Substitute or put the value of radius into the formula
Area = 3. 14(9.55)²
Determine the square of the value
Area = 3.14(91. 20)
Find the product
Area = 286. 38cm²
Thus, the area is 286. 38cm²
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if the cost price of 20 pencils is equal to selling price of 16 pencils,find the profit percent.
Answer:
how i understand this is:
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100
=125%?
(correct me if am wrong)
In triangle NAP, measure of N= 45 and the measure of A= 70. Which statement best describes triangle NAP?
1. Segment NA is the longest side
2. Segment NP is the longest side
3. Segment AP is the longest side
4. Segment AP and segment NP are the longest sides and are congruent
Answer:
2. NP is the longest side
Step-by-step explanation:
I assume the messages of N and A are degrees if the angles there.
angle A = 70°
angle N = 45°
that means
angle P = 180 - 70 - 45 = 65°
because the sum of all angles in a triangle is always 180°.
and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.
the side opposite of A is NP.
The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices
x + y = 140
y – x = 32
y – x = 140
x + y = 32
x + y = 140
x – y = 32
x – y = 140
x + y = 32
Answer:
third option
Step-by-step explanation:
the sum of x and y is 140 , that is
x + y = 140
the difference between x and y is 32 ( y is smaller ) , then
x - y = 32
the system to solve for x and y is
x + y = 140
x - y = 32
Answer:
3rd one trust me
12 ejrid the rude
A video game costs $25.
After a 40% discount, Mohamad pays $
I
for this game.
Answer:
$15
Step-by-step explanation:
25÷100×40=10
25-10=15
Answer:
Discount is 40 % so Mohamad will pay 60%
25x 60/100
=1 x 60/4
=60/4
=15
60% of $25 is= $15
Mohamad pays $15
PLSS MARK AS BRAINLIEST
Help solve please im struggling
Answer:
The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"
Adam buyed 8 new video games each costing $19.97. How can you represent the total amount that will be withdrawn from his bank account?
Answer:
8*19.97=159.76
Step-by-step explanation:
Answer:
8*19.97=159.76
Step-by-step explanation:
Question
What numbers are a distance of 23 unit from 12 on a number line
solve for N
6n−6=−9n+54
n=
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
[tex]6n-6=-9n+54[/tex]
Shifting the like terms:
[tex]6n+9n=54+6[/tex]
Simplify the equation:
[tex]15n=60[/tex]
Solve for n:
[tex]n=\frac{60}{15}[/tex]
The final answer is:
[tex]n=4[/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7x + 12
Step-by-step explanation:
(10x - 3x) + 12
7x + 12
5/6 x = 15
Explain please and say the answer
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
Identify the element in Group 17, Period 6
Answer:
ima say Chlorine
Step-by-step explanation:
Q's Which element is located in Group 17 and Period 6?
Chlorine is in group 17 of periodic table, also called the halogens, and is not found as the element in nature.
Answer:
Group 17 Elements: On the periodic table, the halogens are to the left of the noble gases. Fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (A) are the five poisonous non-metallic elements that make up Group 17 of the periodic table (At). Despite the fact that astatine is radioactive and has only short-lived isotopes, it behaves similarly to iodine and is frequently classified as a halogen. Because halogen elements have seven valence electrons, forming a complete octet requires only one extra electron. Because of this, they are more reactive than other non-metal groups.
In the periodic table, the Group 17 elements exist as the second column from the right side. The group 17 elements consist of Fluorine, Chlorine, Bromine, Iodine, Astatine, and Tennessine. The group 17 elements are called halogens. We will study the importance of group 17 elements, their properties, and their uses in this article. Some of the classic uses of halogens are as follows: Iodine is used as an antiseptic, chlorine is a disinfectant, fluorine is used in toothpaste in the form of sodium fluoride as it prevents tooth decays.
Step-by-step explanation:
Express your answer as a polynomial in standard form. f(x) = x - 1
g(x) = 3x² - 4x-12
Find: g(f(x))
Answer:
[tex]3x^2 - 10x -5[/tex]
Step-by-step explanation:
[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]
Answer:
[tex]g(f(x))=3x^2-10x-5[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]
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The side that is adjacent to angel f has a length of 3 4 5
[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.
what is adjacent angle?When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
what is adjacent rule angle?If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.
Remember that a2 + b2 = c2.
[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .
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Question content area top Part 1 In a certain chemical, the ratio of zinc to copper is 3 to 11 . A jar of the chemical contains 363 of copper. How many grams of zinc does it contain?
We need to know about ratio to solve this problem. The number of grams of zinc is 1331 grams.
Ratio in simple terms mean how many times one number contains another. In this question we know that the ratio of copper and zinc is 3 to 11 which means that in the chemical there are 3 parts of copper and 11 parts of zinc. The ratio between two things can be obtained by dividing one by the other and reducing it to the simplest fraction. We know that 363 grams of copper is present, we need to find the amount of zinc. Let us consider the amount of zinc to be x
363/x=3/11
x=363x11/3=121x11=1331
Therefore the amount of zinc present is 1331 grams.
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