Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
\(3x - 4y = 6\)
Subtract sides -3x
\( - 3x + 3x - 4y = - 3x + 6\)
\( - 4y = - 3x + 6\)
Divided sides by -4
\( \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ \)
\(y = \frac{3}{4}x - \frac{3}{2} \\ \)
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
\(slope = \frac{3}{4} \\ \)
_________________________________
We have following equation to find the point-slope form of the linear functions.
\(y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ \)
Now just need to put the slope and the given point in the above equation.
\(y - 6 = \frac{3}{4} \times (x - 4) \\ \)
Multiply sides by 4
\(4(y - 6) = 3(x - 4)\)
\(4y - 24 = 3x - 12\)
Plus sides 24
\(4y - 24 + 24 = 3x - 12 + 24\)
\(4y = 3x + 12\)
Subtract sides -3x
\(4y - 3x = 3x - 3x + 12\)
\(4y - 3x = 12\)
And we're done....♥️♥️♥️♥️♥️
I need help with #7 asap plss
Answer:
sorry i would help if i new let me see if i can find it somewhere
Step-by-step explanation:
which point satisfies the inequality 2x + y > 10
- (2,3)
- (3,2)
- (4,3)
- (3,4)
To check which point satisfies the inequality 2x + y > 10, we substitute each value of x and y in the equation.
A. 2(2) + 3 > 10
7 > 10
This is incorrect. So the point does not satisfy the expression.
B. 2(3) + 2 > 10
8 > 10
This is also incorrect.
C. 2(4) + 3 >10
11 > 10
This is correct since 11 is greater than 10. So point (4,3) satisfies the inequality.
D. 2(3) + 4 > 10
10 > 10
This is also incorrect.
What is inequality?
Inequality is a mathematical statement that shows two expressions are not equal to each other.The occurrence of an unfair and/or uneven distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different individuals and in various settings, the word "inequality" may indicate different things.An inequality compares two values showing if one is greater than or less than or not equal to the other.To learn more about inequality, visit: https://brainly.com/question/19003099
#SPJ1
Help please! Check my answer to see if it's right.
Answer:
yes
Step-by-step explanation:
You have the correct intercepts
FACTOR THE EXPRESSION GIVEN BELOW. WRITE EACH FACTOR AS A POLYNOMIAL IN DESCENDING ORDER. ENTER EXPONENTS USING THE CARET (^). FOR EXAMPLE, YOU WOULD ENTER x TO THE POWER OF 2 AS x^2.
343x^3 + 216y^3
Each given factor written as a polynomial in descending order is; (7x + 6y)(49x² - 42xy + 36y²)
How to factorize Polynomials?We are given the polynomial;
343x³ + 216y³
343x³ + 216y³ is a sum of cubes and factors in general as;
a³ + b³ = (a + b)(a² - ab + b²)
Thus;
343x³ + 216y³ = (7x)³ + (6y)³
= (7x + 6y)((7x)² - 7x(6y) + (6y)² )
= (7x + 6y)(49x² - 42xy + 36y²)
Read more about Polynomial Factorization at; https://brainly.com/question/11434122
#SPJ1
this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot
Answer:
Step-by-step explanation:
all i know is that it is not the IQR maybe its the MAD but im not sure
Answer:
It's B
Step-by-step explanation:
I took the test and I got it right. No problem :D
Rewrite in simplest terms: -10(-3m-10)-3(-8m+3)−10(−3m−10)−3(−8m+3)
Answer:
108m + 182
Step-by-step explanation:
The first step is to apply the distributive property to each set of parentheses by multiplying each term inside the parentheses by the number that is directly outside of it. Be sure to pay attention to the negative signs.
-10(-3m-10)-3(-8m+3)−10(−3m−10)−3(−8m+3)
30m + 100 + 24m - 9 + 30m + 100 + 24m -9
Following that, we can rearrange the terms in the expression by grouping together terms based on if they do or do not have m.
30m + 24m + 30m + 24m + 100 - 9 + 100 - 9
From there, we can then combine like terms, basically meaning to add or subtract the numbers based on their grouping.
108m + 182
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
learn more on angles here: brainly.com/question/24195209
#SPJ1
Part E
Use your work from parts B through D to find an approximate value for the constant of proportionality, k, in the solar system. Round the answer and write it in scientific notation. Why might scientists find this value useful? (Consult the math review if you need help with scientific notation.)
This is from edmentum.
Answer:
sample answer for edmentum
Step-by-step explanation:
2x2x2x2x2x2x2x2=
Please answer
Answer:
256
Step-by-step explanation:
Answer:
256
Step-by-step explanation:
How many answers are there in inequality?
There is no single answer to this question as there are many different types of inequalities and each one can have a different number of solutions.
Number of Solutions to InequalitiesInequalities are mathematical statements that compare two values or expressions using an inequality sign. These signs can be:
Greater than (>) Less than (<)Greater than or equal to (>=)Less than or equal to (<=)Depending on the type of inequality and the values involved, the number of solutions can vary.
For example, a linear inequality with two variables will have an infinite number of solutions as the two variables can take on any real number value.
Learn more about Inequality: https://brainly.com/question/25275758
#SPJ4
Solve the following system of linear equations by substitution and determine whether the system has one solution,no solution, or an infinite number of solutions. If the system has one solution, find the solution.5 - 2x + y = 410x + 2y = -6
Given
- 2x + y = 4 (1)
10x + 2y = -6 (2)
Answer
-2/10 = -1/5
1/2
4/6 = 2/ 3
System has one solution
Multiply eq 1 by 5
-10x+5y=20
10x+2y=-6
Adding
7y =14
y=14/7 = 2
Put in eq 1
-2x+ 2 =4
-2x = 2
x= -1, y=2
Differentiate the function. \[ f(x)=x^{5} \] \[ f^{\prime}(x)= \]
To differentiate the function f(x) = x^5), we can use the power rule of differentiation. According to the power rule, if we have a function of the form f(x) = x^n), where (n) is a constant, then its derivative is given by:
[f(x) = nx^{n-1}]
Applying this rule to f(x) = x^5), we have:
[f(x) = 5x^{5-1} = 5x^4]
Therefore, the derivative of f(x) = x^5) is (f(x) = 5x^4).
Learn more about Power Rule here :
https://brainly.com/question/30226066
#SPJ11
i am new so hi :))))))))))))))))))))))))))))))))))))))))))))))
Answer:
Hey!!!!!!!!!Step-by-step explanation:
The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region in the western part of the North Atlantic Ocean where a number of aircraft and ships are said to have disappeared under mysterious circumstances. Most reputable sources dismiss the idea that there is any mystery.[1][2][3]
Bermuda Triangle
Devil's Triangle
What is the ratio of 2 miles driven and $6. 00 cab fare
Answer:
2 to 6, 2/6, or 2:6
Step-by-step explanation:
a ratio is a comparison of two values expressed as a quotient
For some reason, Brainly keeps saying that the question I'm asking hurts their feelings though I am just typing out the question from the screenshot. please take a look
There is part A and Part B.
Based on the information in the graph, we can infer that the area of the three triangles is the same. In this case the area would be 45 cm².
How to calculate the area of triangles?To calculate the area of the triangles we must calculate the area of one of them taking into account that all three have the same dimensions. According to the above, we must apply the following formula:
a = b * h / 2Then we must replace the values of the base and the height:
a = 9 * 10 / 2a = 90 / 2a = 45So the area of the triangles would be 45cm.
Note: This question is incomplete. Here is the complete information:
question
What is the area of the triangles?
Learn more about area in: https://brainly.com/question/27683633
#SPJ1
a cylinder and cone have equal volumes and radii of equal length. if the height of the cone is 24 centimeters
The radius of the cone is 3 times the radius of the cylinder, given that they have equal volumes and radii of equal length.
The height of the cylinder is also 24 centimeters since the radii are equal.
To find the volume of the cylinder, use the formula V = πr^2h, where r is the radius and h is the height.
To find the volume of the cone, use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Since the volumes are equal, you can set up the equation (1/3)πr^2(24) = πr^2(24) and solve for r.
Simplifying the equation, you get (1/3) = 1.
This means that the radius of the cone is 3 times the radius of the cylinder.
Therefore, the radius of the cone is 3 times the radius of the cylinder, given that they have equal volumes and radii of equal length.
To know more about cone visit:
https://brainly.com/question/29767724
#SPJ11
6 multiplied by 3, then increased by 10
Answer:28
Step-by-step explanation:
Break it up! 6x3 is 18. Then 18 + 10 is 28 :P
Hope this helps :D
Look at each equation. Is the equation linear? Select Yes or No.
Determine the sum of the measures of the interior angles of a dodecagon (12-sided polygon).
The sum of the measures of the interior angles of a dodecagon = (12-2)× 180° = 10 × 180° = 1800°
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
Here,
We need to measure the sum of the interior angles of a dodecagon.
A dodecagon has 12 sides, 12 vertices and 12 angles. Each interior angle is equal to 150° and each exterior angle is equal to 30°.
Now,
The sum of the measures of the interior angles of a dodecagon = (12-2)× 180° = 10 × 180° = 1800°
Learn more about sum of interior angles here: https://brainly.com/question/14536349
#SPJ4
SHOW WORK PLEASE Find the future value of an annuity of $500 per year for 12 years if the interest rate is 5%.
The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.
To calculate the future value of an annuity, we can use the formula:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the annuity,
P is the annual payment,
r is the interest rate per compounding period,
n is the number of compounding periods.
In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.
Plugging the values into the formula:
FV = $500 * [(1 + 0.05)^12 - 1] / 0.05
= $500 * [1.05^12 - 1] / 0.05
≈ $500 * (1.795856 - 1) / 0.05
≈ $500 * 0.795856 / 0.05
≈ $399.928 / 0.05
≈ $7,998.56 / 100
≈ $7,005.53
Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.
Learn more about here:
#SPJ11
△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
\(\\ \sf\longmapsto 3x-5=70\)
\(\\ \sf\longmapsto 3x=70+5\)
\(\\ \sf\longmapsto 3x=75\)
\(\\ \sf\longmapsto x=75/5\)
\(\\ \sf\longmapsto x=15\)
Let θ be an angle with terminal side in the fourth quadrant such that sinq = -½ Then tan θ is equal to:
a) √2 b) √3/2 c) √2/3 d) -1 / √3
The answer is c) √2/3. We know that sin θ = y/r and cos θ = x/r, where r is the radius of the unit circle.
Since the terminal side of angle θ is in the fourth quadrant, x and y are both negative.
From sin θ = y/r = -1/2, we can see that y = -1 and r = 2. Therefore, the value of x can be found using the Pythagorean theorem:
x^2 + (-1)^2 = 2^2
x^2 = 3
x = -√3
Now we can use the definition of tangent to find tan θ:
tan θ = sin θ / cos θ
tan θ = (-1/2) / (-√3/2)
tan θ = 1/√3
To simplify this expression, we rationalize the denominator:
tan θ = (1/√3) * (√3/√3)
tan θ = √3 / 3
Therefore, the answer is c) √2/3.
Learn more about angle here:
https://brainly.com/question/30147425
#SPJ11
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
1st one is not a right triangle.
2nd one is not a right triangle.
3rd one is not a right triangle.
4th one is a right triangle.
Step-by-step explanation:
1, 2, and 3 could also be "not enough information".
find the value of x and y
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The perpendicular line bisect the base of isosceles triangle.
Then,
9^2=y^2-x^2
81=324-243
81=81
So the correct answer is D
I Hope this will be helpful for you
can someone help me?
PLEASE HELP!!
Fill in the blank. In the triangle below, x =_____. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using Trigonometry: SOH CAH TOA,
tan (47°) = x/35Cross multiplying:
x = tan (47°) × 35
= 37.5329
= 37.53 to two decimal places
you try feeding your dog the same amount of food both with and without added water while using the same bowls at the same time of day. what is the independent variable
If we feed the dog with same amount of food and with , without water , then the independent variable is " presence or absence of added water" .
The Independent Variable is the factor that is manipulated or varied in an experiment in order to observe the effect on the dependent variable.
In this case, the dependent variable would be the amount of food consumed by the dog.
By adding or not adding water to the food and keeping all other conditions constant ; such as: using the same bowls, feeding the dog at the same time of day ,
the experiment aims to determine the effect of the independent variable (added water) on the dependent variable (amount of food consumed).
Therefore , the independent variable in this situation is " presence or absence of water" .
The given question is incomplete , the complete question is
You try feeding your dog the same amount of food both with and without added water while using the same bowls at the same time of day.
What is the independent variable ?
Learn more about Independent Variable here
https://brainly.com/question/28382027
#SPJ4
Use the diagram to the right to determine whether BC. DE. Justify your answer. AD = 15, DB = 12, AE = 10, and EC = 8. The cut part is BC (top to bottom)
Explanation:
AD = 15, DB = 12, AE = 10, and EC = 8
To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf
Use the diagram below to find the area of the shaded sector
SOLUTION
We need to get the slopes of the lines A and B.
Slope of A considering the points (-4, 3) and (0, 0) which is at the origin, we have
\(\begin{gathered} m=\frac{0-3}{0-(-4)} \\ m=\frac{-3}{4} \\ m=-\frac{3}{4} \end{gathered}\)Since line B is a horizontal line, the slope is 0.
angle between two slopes is given as
\(\begin{gathered} tan\theta=|\frac{m_2-m_1}{1+m_1m_2}| \\ where\text{ }\theta\text{ is the angle between them and } \\ m_1\text{ and m}_2\text{ are slopes of the line } \end{gathered}\)So, we have
\(\begin{gathered} tan\theta=|\frac{m_2-m_1}{1+m_1m_2}| \\ tan\theta=|\frac{0-(-\frac{3}{4})}{1+0(-\frac{3}{4})}| \\ tan\theta=|\frac{\frac{3}{4}}{1}| \\ tan\theta=|\frac{3}{4}| \\ tan\theta=\frac{3}{4} \\ \theta=tan^{-1}\frac{3}{4} \\ \theta=36.86989 \\ \theta=36.87\degree \end{gathered}\)Hence the angle between A and B is 36.87 degrees
Area of a sector is given as
\(A=\frac{\theta}{360\degree}\times\pi r^2\)Note that the radius r is the length of line B, which is 5 units. So, the area becomes
\(\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ A=\frac{36.87}{360}\times\pi\times5^2 \\ A=8.04376\text{ units}^2 \end{gathered}\)Hence the answer is 8.04 square units. The last option is the answer
Pls help struggling w maths homework
Answer:
Step-by-step explanation:
Pythagorean Theorem
(AB)² = 5.6² + 3.9² = 46.57
radius r = (√46.57)/2 cm
area = πr² = π46.57/4 ≈ 36.5759925 cm l²