Answers
[tex]y=-\dfrac{5}{8}x+3\ \ \ |\cdot8\\\\8y=-5x+24\ \ \ |+5x\\\\\boxed{5x+8y=24}[/tex]
15.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\ \iff\ m_1=m_2[/tex]
therefore [tex]y=2x+b[/tex]
substitute the coordinates of the point to the equation:
[tex](3;\ 8)\to x=3;\ y=8\\\\8=2\cdot3+b\\8=6+b\ \ \ \ |-6\\b=2[/tex]
Answer: y = 2x + 2
16.
[tex]k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1[/tex]
[tex]k:y=-3x+7\\\\l:-2x+6y=3\ \ \ |+2x\\\\6y=2x+3\ \ \ |:6\\\\y=\dfrac{1}{3}x+\dfrac{1}{2}\\\\m_1=-3;\ m_2=\dfrac{1}{3}\\\\m_1\cdot m_2=-3\cdot\dfrac{1}{3}=-1[/tex]
therefore [tex]k\ \perp\ l[/tex]
Answer: perpendicular
17.
a conditions as in the 16th question.
[tex]k:y=-\dfrac{1}{4}x+8\\\\l:-2x+8y=4\ \ \ |+2x\\\\8y=2x+4\ \ \ |:8\\\\y=\dfrac{1}{4}x+\dfrac{1}{2}\\\\m_1=\dfrac{1}{4};\ m_2=\dfrac{1}{4}\\\\m_1=m_2[/tex]
therefore\ [tex]k\ ||\ l[/tex]
Answer: parallel
Answer:
lol thxs for the points
Step-by-step explanation:
Related Questions
Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12
Answers
Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.
#10 and 12 do not fit either of these descriptions so they are neither.
Tony collected data on years of employment and the annual salaries of the sales people at Company Z. He made a scatter plot and drew a trend line that approximated the line of best fit for the data, as shown on the right. Based on the trend line drawn for the data, what is the salary a salesperson with 3 years of employment at Company Z can expect to earn?
Answers
Answer:
The salary a salesperson expects to earn in 3 years, according to the graph is $40,000
Step-by-step explanation:
The estimated salary for a salesperson with 3 years of employment is $45,000.
How to write an equation of the line?Without the scatter plot, it's impossible to give an exact answer, but we can make an estimate based on the trend line. Assuming the trend line is a straight line, we can use the equation of the line to estimate the salary for a salesperson with 3 years of employment.
The equation of a straight line can be written in a slope-intercept form as y = mx + b, where y is the dependent variable (salary in this case), x is the independent variable (years of employment in this case), m is the slope of the line, and b is the y-intercept (the value of y when x = 0).
To find the equation of the trend line, Tony would have used statistical software or a calculator to calculate the slope and y-intercept of the line of best fit. He could also have done this by hand using the least squares regression method.
Once we have the equation of the trend line, we can substitute x = 3 to estimate the salary for a salesperson with 3 years of employment.
For example, if the equation of the trend line is y = 5000x + 30000 (where y is the salary in dollars and x is the years of employment), then we can estimate that a salesperson with 3 years of employment can expect to earn:
y = 5000(3) + 30000
y = 15000 + 30000
y = 45000
So the estimated salary for a salesperson with 3 years of employment is $45,000.
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what type of transformation could be used to create a symmetric traffic sign
Answers
when a family with two adults and three children bought tickets for a movie, they paid a total of $27.75. The next family in line, with two children and three adults, paid $32.25 for the same movie. Find the adult and child ticket prices by writing a system of equations with two variables
Answers
To determine the ticket prices at Family Flicks, we create a system of equations using variables A for adult tickets and C for child tickets, then solve for A and C using the given information.
To find the adult and child ticket prices for movies at Family Flicks, we can establish a system of equations based on the information provided. Let's denote the price of an adult ticket as A and the price of a child ticket as C. From the first family's purchase, we have the equation 2A + 3C = $27.75. The second family's purchase gives us the second equation 3A + 2C = $32.25. Solving this system of equations will provide us with the prices for the adult and child tickets.
how far is the ship from the lighthouse?
Answers
a^2 + b^2 = x^2
so in this case,
d^2 = 8^2 + 6^2
d^2 = 64 + 36
d^2 = 100
d = square root of 100
d = 10 miles
I hope this helps :)
Evaluate the expression.
12(43−6⋅32)
Answers
but if its 6.32
its 440.16
12+root of 35 divided by 2 + 12-2 root of 35 divided by 2
Answers
First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have [tex] \frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2} [/tex]
Add like terms -- 12 +24 = 36 [tex] \sqrt{35}-2 \sqrt{35} = \sqrt{35} [/tex]
Now we are at [tex] \frac{24+ \sqrt{35} }{2} [/tex] Which is the lowest possible simplified version while remaining at exact value.
Feel free to check my math! I kinda did this off the top of my head.
The question involves simplifying arithmetic expressions with square roots and division, emphasized on correctly applying order of operations and rules for dealing with exponents.
Explanation:The student's question involves simplifying expressions containing the square root and the division operation. To simplify expressions like 12 + √35 divided by 2 and 12 - 2√35 divided by 2, we need to perform operations step by step, applying the correct order of operations.
When parenthesis is used, it indicates that we should evaluate that part of the expression first, followed by multiplication or division, and finally addition or subtraction. It is important to pay careful attention to the operation signs and ensure that each step is followed correctly. Working with square roots and division can be tricky, but by breaking down the expression into smaller parts and solving them one by one, we can arrive at the correct answer.
For instance, to solve expressions like 3².35, we need to apply the exponential rules, such as xPx9 = x(p+q). This indicates that you should add the exponents when multiplying numbers with the same base. While this particular rule may not directly apply to the expression in question, knowing rules for operations with exponents can help simplify complex arithmetic expressions.
what is the triangle proportionality therom
Answers
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
The Triangle Proportionality Theorem asserts that a line drawn parallel to one side of a triangle divides the other two sides proportionally. This is related to the properties of similar triangles, where the corresponding sides of similar triangles are proportional due to the AAA similarity criterion.
The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on one side of the triangle are in the same ratio as the corresponding segments on the other side of the triangle. For example, in [tex](\Delta ABC)[/tex] with a line parallel to [tex](\overline{BC})[/tex], the theorem asserts that [tex](\frac{AD}{DB} = \frac{AE}{EC})[/tex].
This concept is deeply rooted in the properties of similar triangles which are based on the Angle-Angle-Angle (AAA) similarity criterion. According to the AAA theorem, if two triangles have corresponding angles that are equal, then their corresponding sides are proportional. Thus, if two triangles are similar, the lengths of their corresponding sides form a proportion such as [tex](\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF})[/tex], where each fraction is the ratio of a pair of corresponding sides.
The principles of the Triangle Proportionality Theorem can be applied in various geometric problems, often to compare the lengths of sides within the same triangle or in two similar triangles. It is also useful in determining distances or heights by applying the theorem to real-life scenarios, such as calculating the height of a wall using the shadow it casts, provided the sun's rays are considered parallel.
Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.
Help Me Please!!!!
Answers
Answer:
(7,a) Where a ∈ R - {7}
OR
(-2,a) where a ∈ R - {-2}
Step-by-step explanation:
The coordinates of the given line from the right to the left are:
(7,1) and (-2,1)
So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)
So, the third vertex must be on the line x=7 or x=-2
So, the coordinates of the third vertex is:
(7,a) Where a ∈ R - {7}
OR
(-2,a) where a ∈ R - {-2}
Answer:
(5, −4)
Step-by-step explanation:
A right triangle is a triangle in which one angle is a right angle (a 90-degree angle). (thank usatestprep)
Which table shows the relationship y=-3x+2?
Answers
5 − (x + 5) > −2(x + 4)
Answers
Helpppp me i have no ideaaaa
Answers
[tex]remainder = \frac{ - 1}{x + 3} [/tex]
[tex]quotient = 4x + 4[/tex]
PLEASE HELP ME!!!!!!!
Answers
The slope value of the line drawn is 2
Choosing the points to be used to calculate the slope from the graph;
(3, 7) and (0, 1)Slope = Rise / Run
Rise = y2 - y1 = (1 - 7) = -6Run = x2 - x1 = (0 - 3) = - 3This means:
Slope = -6/-3
slope = 2
Therefore, the value of the slope is 2
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The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?
Answers
The formula for a z-score is
z = (X-μ)/σ
Using our information, we have
-1.7 = (13-18.1)/σ
Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1
Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3
SOMEONE HELP GIVING 50 POINTS HELP HELP HELP I NEED ALL THE ANSWERS
Answers
Write 9x+35=-5y in Slope-Intercept form
Answers
y = ax + c
So:
-5y = 9x + 35
We need to isolate y, so divide both sides by -5:
y = - [tex] \frac{9}{5} [/tex]x - 7
To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.
9x + 35 = -5y
First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.
5y + 9x + 35 = 0
Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.
5y + 35 = -9x
After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.
5y = -9x - 35
Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.
y = -9/5x - 7
Therefore, your answer y = -9/5x -7.
Hope this helps!
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?
Answers
12*5 = 60
Now for the new triangle:
1.25(12) * (1-0.2)(5)
15 * 4 = 60
There is no change in the rectangle.
What is the value of X 56•
Answers
Can you find 10/21 of 3/ 10
Answers
how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]
Answers
a) x² -2x +1 = 0
b) x² +15 = 0
c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0
d) 3x² -x -5 = 0
_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.
evaluate ab for a = 2 3/4 and b = 4/5
Answers
So, you're multiplying 2[tex] \frac{3}{4} [/tex] to [tex] \frac{4}{5} [/tex].
But, the mixed number is best as a mixed number, so it becomes [tex] \frac{11}{4} [/tex]
So, this happens to become [tex] \frac{11*4}{4*5} [/tex], multiplying to [tex] \frac{44}{20} [/tex].
BUT, you need to simplify it!
The simplest form is [tex] \frac{11}{5} [/tex], which is your answer.
Have a nice day! ♪
the monthly popcorn special comes in a bowl that is shaped like a hemisphere. the diameter of the bowl is 10 inches. the theater sells the cylindrical container of popcorn for $5.25. if they sell the bowl of popcorn for $5.00, is it a good deal
Answers
Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5
Step-by-step explanation:
How can you find the area of a polygon that is not one for which you know an area formula
Answers
HELP ASAP!
The diagram below gives the dimensions of a swimming pool.
THESE ARE NOT ANSWERS!
(a) What is the total area of the swimming pool? Explain your reasoning.
(b) What is the perimeter of the swimming pool? Explain your reasoning.
Answers
Perimeter of rectangle = 2(36 + 20) = 112 ft
Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2
Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft
(a) What is the total area of the swimming pool? Explain your reasoning.
area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2
answer:
area of the swimming pool = 577.13 ft^2
--------------------------------------------------------------------------
(b) What is the perimeter of the swimming pool? Explain your reasoning.
perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft
answer
perimeter of the swimming pool = 55.48 ft
What is the exact volume of the sphere?
A. 56.3¯π ft³
B. 274.625π ft³
C. 366.16¯π ft³
D. 1464.6¯π ft³
Answers
Answer:
366.16
Step-by-step explanation:
use the formula v=4/3r3
6.5 to the third power
multiply by 4/3
you get 366.16π ft³
What is the value of X 56•
Answers
The measure of angle x in the isosceles triangle is 68 degrees.
The correct option is 68°.
What is the measure of angle x?The figure in the image is an isosceles triangle.
An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.
From the diagram;
Since the triangle is an isosceles triangle:
Angle 1 = 56 degrees
Angle 2 = 56 dgerees
Angle 3 = x
Note that the sum of the interior angle of a triangle adds up to 180 degree.
Hence;
Angle 1 + Angle 2 + Angle 3 = 180
56 + 56 + x = 180
Solve for x
112 + x = 180
x = 180 - 112
x = 68 degrees
Therefore, x has a value of 68 degree.
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Which is the best estimate of the sum of 356 and 71, IF each number is rounded to the nearest ten?
A) 500
B)430
C)420
D)400
Answers
So 356 + 71 = 427
and if you round it to the nearest tenth then you're rounding the 27 up.
This means that your answer will be 430.
Here's a chart to help remind you which numbers to round! :-)
Hope this helps!
if m<cdb=50 degrees, what is m<edg?
answer options are:
A. 35 DEGREES
B. 40 DEGREES
C. 45 DEGREES
D. 50 DEGREES
Answers
Answer: the answer is C. 45.
How do I write a linear inequality that represents the graph?
Answers
Answer:
[tex]y > -x+4[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area above the dotted line
The slope of the dotted line is negative
The y-intercept of the dotted line is (0,4)
The x-intercept of the dotted line is (4,0)
Find the slope of the dotted line
[tex]m=(0-4)/(4-0)\\ m=-1[/tex]
The equation of the dotted line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-1[/tex]
[tex]b=4[/tex] -----> y-intercept
substitute
[tex]y=-x+4[/tex]
Find the equation of the inequality
Remember that the solution is the shaded area above the dotted line therefore
The inequality is
[tex]y > -x+4[/tex]
There are 3 black marbles and 4 red marbles in a bag.
What is the probability you will pick two black marbles out of the bag without replacing the first one chosen?
A) 6/8
B) 9/49
C) 5/13
D) 1/7
Answers
The probability that the first marable is black
[tex]P(A_1)=\dfrac{3}{7}[/tex]
The probability that the second marable is black too
[tex]P(A_2)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Together:
[tex]P(A)=P(A_1)\cdot P(A_2)=\dfrac{3}{7}\cdot\dfrac{1}{3}=\dfrac{1}{7}\to D[/tex]
The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
There are 3 black marbles and 4 red marbles in a bag.
Hence, Total number of marbles = 3 + 4 = 7
Thus, The probability you will pick one black marbles out of the bag is,
⇒ 3 / 7
And, The probability you will pick another black marbles out of the bag is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,
⇒ 3/7 × 1/3
⇒ 1/7
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