Find the equation of a line perpendicular to 2x-2y=-6 that passes through the point (9,6)
Answers
The equation of the line perpendicular to 2x-2y=-6 is x+y=15
Firstly, we have to convert the given equation, 2x-2y=-6 into slope-intercept form.
2y=2x+6
y=x+3
here, the slope of the given line is 1. but as the line is perpendicular to the given equation, the slope will have a negative sign. that is, the slope of the line in this case will be -1.
Thus, m=-1
The line passes through (9,6). Thus the equation of the line will be
y=m2(x-x1)+y1
y= -1(x-9)+6
Open the Bracket,
y=-x+9+6
y=-x+15
thus, the Equation is, x+y=15.
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Related Questions
Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.
Answers
Which graph does not represent a function?
Answers
Answer: B
Step-by-step explanation:
It is.
 Hey guys, I would really appreciate if one of you help me with this question
Answers
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
Find the center radius form for each circle having the given endpoints of a diameter.
22. (-4,5) and (6,-9)
26. ( 0,9) and (0,-9)
Answers
Answer:
22. \((x-1)^2+(y+2)^2=74\)
26. \(x^2+y^2=81\)
Step-by-step explanation:
The center of a circle is the midpoint of the diameter.
\(\textsf{midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)
(where \((x_1,y_1)\) and \((x_2,y_2)\) are the endpoints of the diameter)
The radius of the circle is the distance between the center and an endpoint of the diameter.
\(\textsf{radius}=\sqrt{(a-x_1)^2+(b-y_1)^2}\)
(where \((a,b)\) is the center of the circle, and \((x_1,y_1)\) is an endpoint of the diameter)
The center-radius form of a circle: \((x - a)^2+(y-b)^2=r^2\)
(where (a, b) is the center and r is the radius)
Question 22
\(\textsf{Let }(x_1,y_1)=(-4.5)\)
\(\textsf{Let }(x_2,y_2)=(6,-9)\)
\(\textsf{center}=\left(\dfrac{-4+6}{2},\dfrac{5-9}{2}\right)=(1,-2)\)
\(\textsf{radius}=\sqrt{(1+4)^2+(-2-5)^2}=\sqrt{74}\)
⇒ equation of circle: \((x-1)^2+(y+2)^2=74\)
Question 26
\(\textsf{Let }(x_1,y_1)=(0,9)\)
\(\textsf{Let }(x_2,y_2)=(0,-9)\)
\(\textsf{center}=\left(\dfrac{0+0}{2},\dfrac{9-9}{2}\right)=(0,0)\)
\(\textsf{radius}=\sqrt{(0-0)^2+(0-9)^2}=9\)
⇒ equation of circle: \(x^2+y^2=81\)
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
Answers
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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Weiming, Farhan and Sam had some comic books.
Weiming and Farhan had 36 comic books altogether.
Weiming had 3 times as many comic books as Farhan.
Sam and Farhan had 60 comic books in total.
(a) How many comic books did Farhan have?
(b) How many comic books did Sam have?
Answers
Answer:
Farhan had 9 comic books
Sam had 51 comic books and lived in his Mother's basement
Step-by-step explanation:
W + F = 36
W = 3F
3F + F = 36
F = 9
W = 27
S + F = 60
S + 9 = 60
S = 51
write an equation in slope -intercept form for the line with slope -8 and y-intercept 8
Answers
Answer:
y = -8x + 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptStep-by-step explanation:
Step 1: Define
Identify.
Slope m = -8
y-intercept b = 8
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = -8x + 8Answer:
y = -8x + 8
Step-by-step explanation:
Slope intercept form is y = mx + b
Y and x always stay the same
M is the slope and b is the y intercept
Plug in the numbers: y = -8x + 8
hope this helps
If two lines intersect and one of the angles formed has a measure of 67º, which of the following statements are true? Explain your answers
More than one answer may be correct, select all correct answers
A: Vertical angles are congruent, therefore another angle must equal 67º
B: The lines form linear pairs
C: The lines form complementary angles
D: One of the angles formed measures 23º
E: Two of the angles formed measure 113º
F: Two of the angles formed will have a sum of 180º
G: None of the above
Answers
The statements that are true are:
A : Vertical angles are congruent, therefore, another angle must equal 67°
F: Two of the angles formed will have a sum of 180°
What happens when two lines intersect?
When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°
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11. Consider the following table. Number of Bulls-Eyes Made 0 4 7 10 Points Displayed 1000 5800 9400 13,000 Calculate the rate of change of the linear relationship represented by the table. points per bull's-eye made.
Answers
The rate of change of the linear relationship represented by the table will be 1,200.
What is Number system?
A system of writing to express the number is called number system.
Given that;
Number of Bulls-Eyes Made 0 4 7 10
Points Displayed 1000 5800 9400 13,000.
Now,
The rate of change the linear relationship is calculated as;
= (5800 - 1000) / (4 - 0)
= 4800 / 4
= 1,200
Thus, The rate of change of the linear relationship represented by the table will be 1,200.
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;
Suppose Diana, an educational researcher at a local university, wants to test the impact of a new Spanish course that integrates cultural-immersion teaching techniques with standard teaching practices. She selects a simple random sample of 64 freshmen and divides them into 32 pairs, matched on IQ and high school GPA. She randomly selects one member of each pair to take the new course, while the other member in the pair takes the traditional course.
Next, Diana records the course grade, tallied on a scale from 0 to 4, for all sample members at the end of the semester, and she computes the difference in grades between the members in each matched pair by subtracting the traditional course grade from the new course grade. She wants to determine if the new Spanish course improves or weakens student performance. She runs a matched-pairs t-test to test the null hypothesis, H0:μ=0, against the alternative hypothesis, H1:μ≠0, where μ is the mean course grade difference for the student population.
The sample statistics for Diana's test are summarized in the table.
Variable description Sample mean Sample standard deviation Standard error estimate
traditional course grade x⎯⎯trad= 3.33496 strad=2.02198 SEtrad=0.33700
new course grade x⎯⎯new=3.45287 snew=2.11043 SEnew=0.35174
difference (new − traditional) x⎯⎯=0.11791 s=0.31452 SE=0.05242
Although Diana does not know the standard deviation of the underlying population of course grade differences, she assumes that the population is normally distributed because the sample data are symmetric, single-peaked, and contain no outliers.
Required:
Compute the t-statistic for Diana's matched-pairs t-test.
Answers
Answer:
89yuyyygvghhhhhhnnn76yyyyy
3x+12y=-8 show ur work
Answers
Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answers
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
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Katie has 3 pages of star stickers and
2 pages of rocket stickers. Each page
has 100 stickers. How many stickers
does Katie have in all?
Answers
The total number of stickers that Katie have in all is 500 stickers which is calculated using multiplication.
Number of pages of the star stickers that Katie have = 3
Number of pages of the rocket stickers that Katie have = 2
Total pages of sticker = 3 + 2 = 5
Each page has = 100 stickers.
Total number of stickers will be calculated by using multiplication.
So, we get that:
Total number of stickers = 5 × 100
Total number of stickers = 500 stickers.
Therefore, we get that, the total number of stickers that Katie have in all is 500 stickers which is calculated using multiplication.
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NO LINKS!! Help me with the 2-Column Proof Part 6aa
Answers
Here is the two column proof:
Statement Reason
Diagram Given∠1 and ∠2 are linear pair Shown on the diagram∠1 and ∠2 are supplementary Linear pair postulate ProvedA submarine is moving parallel to the surface of the ocean at a depth of 626 m. It begins a
constant ascent so that it will reach the surface after travelling a distance of 4420 m.
a) What angle of ascent, to the nearest tenth of a degree, did the submarine make? (3
marks)
b) How far did the submarine travel horizontally, to the nearest metre, during its ascent to
the surface? (3 marks)
Answers
Answer:
a) the angle of ascent is 8.2°
b) the horizontal distance traveled is 4375 m
Step-by-step explanation:
depth of ocean = 626 m
distance traveled in the ascent = 4420 m
This is an angle of elevation problem with
opposite side to the angle = 626 m
hypotenuse side = 4420 m
a) angle of ascent ∅ is gotten from
sin ∅ = opp/hyp = 626/4420
sin ∅ = 0.142
∅ = \(sin^{-1}\) 0.142
∅ = 8.2° this is the angle of ascent of the submarine.
b) The horizontal distance traveled will be gotten from Pythagoras theorem
\(hyp^{2}\) = \(opp^{2}\) + \(adj^{2}\)
The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances
\(4420^{2}\) = \(626^{2}\) + \(adj^{2}\)
adj = \(\sqrt{4420^{2}-626^{2} }\)
adj = 4375 m this is the horizontal distance traveled.
Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
30a+6ad
30ad
30a+(6a⋅d)
(6a⋅5)+(6a⋅d)
11a + d
Answers
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
6a x d = 6ad
Answer:
A
Step-by-step explanation:
Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason correct? Explain why or why not.
Answers
yes, he is right all distance is the same from the origin point to any side of the circle same as radius which is half a line starts at any side of the circle and ends at the origin point.
Mason is correct.
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
A circle centered at the origin with a radius of 4 units can be represented by the equation:
x² + y² = r²
Substituting the coordinates of the point (4, 4), we have:
4² + 4² = r²
16 + 16 = r²
32 = r²
Taking the square root of both sides, we get:
r = 4√2
Therefore,
The circle centered at the origin with a radius of 4 units has an equation of x^2 + y^2 = 32.
Point (4, 4) satisfies this equation since:
4² + 4² = 32
16 + 16 = 32
32 = 32
Thus,
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
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There are 1100 students at school.
540 students are girls, the rest are boys.
1/10 of girls are left handed.
1/8 of the boys are left handed.
Work out the number of left handed students in the school.
Answers
Answer:
54 girls are left handed.
70 boys are left handed.
70+54 = 124 left handed students in the school
Step-by-step explanation:
In a right triangle, sin (x + 10)° = cos (4x - 4)°. Solve for x. Round your answer
to the nearest hundredth if necessary.
Answers
The value of variable x is,
⇒ x = 42
We have to given that;
In a right triangle,
⇒ sin (x + 10)° = cos (4x - 4)°
Now, We can simplify as;
⇒ sin (x + 10)° = cos (4x - 4)°
⇒ cos (90 - (x + 10))° = cos (x - 4)°
⇒ 90 - (x + 10) = x - 4
⇒ 90 - x - 10 = x - 4
⇒ 80 + 4 = 2x
⇒ 2x = 84
⇒ x = 42
Thus, The value of variable x is,
⇒ x = 42
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Please help me understand
Answers
9514 1404 393
Answer:
C. 18 inches
Step-by-step explanation:
The median of a trapezoid is the line segment that joins the midpoints of the sides of the trapezoid. It is halfway between the parallel bases, and is parallel to them. It length is the average of the lengths of the two bases:
(15 +21)/2 = 36/2 = 18 . . . . inches
To rent a certain meeting room a college charges a reservation fee of $33 and an additional fee of $9.80 per hour the club wants to spend less than 101.60 on the room what is the possible amounts of time they can rent the room use t for the number of hours solve the inequality
Answers
Answer:
They must rent for less than 7 hours
Step-by-step explanation:
The charge for the room is the fee plus the hourly rate times the hour
f = 33+9.80t
This must be less than 101.60
101.60> 33+9.80t
Subtract 33 from each side
101.60-33> 33-33+9.80t
68.6> 9.80t
Divide each side by 9.8
68.8/9.8 > t
7>t
They must rent for less than 7 hours
2.48925 C : 3.9901 H : 1.000 O
The ratio does not give whole
numbers, so we have to use a
multiplier. What can we multiply each element by in order to have them all reach the smallest whole number?
multiply by [?]
Hint: The multiplier should be a whole number.
Answers
Answer: its 2
Step-by-step explanation:
Enter the ordered pair for point A in the boxes.
Answers
X Y
Hdhdhfhd
Which graph represents the inequality x ≥ 23?
Answers
Answer:
D
Step-by-step explanation: A filled bubble means that it is equal to and whichever way the arrow is point represents whether the answer is greater than or less than.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
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A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answers
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Is this a direct variation 6y=2x
Answers
Answer:
y=4
Step-by-step explanation:
Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.
Answers
Answer:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
Step-by-step explanation:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
Using the quadratic formula, which of the following are the zeros of the
quadratic equation below?
y = 3x² - 10x+5
A. x-5± √50
3
B. x-5± √10
3
c. x=-5± √10
3
D. x--5+ √50
3
Answers
Answer:
Step-by-step explanation:
The quadratic formula is used to find the zeros of a quadratic equation. The zeros are the values of x that make y equal to zero. The quadratic formula is:
x = (-b ± sqrt(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
For the equation y = 3x² - 10x + 5, we have:
a = 3 b = -10 c = 5
Substituting these values into the quadratic formula, we get:
x = (-(-10) ± sqrt((-10)² - 4(3)(5))) / 2(3)
Simplifying this expression gives us:
x = (10 ± sqrt(100 - 60)) / 6
x = (10 ± sqrt(40)) / 6
x = (10 ± 2sqrt(10)) / 6
x = (5 ± sqrt(10)) / 3
Therefore, the zeros of the quadratic equation y = 3x² - 10x + 5 are (5 + sqrt(10))/3 and (5 - sqrt(10))/3.
or b
Harper is deep-sea diving with two friends. Toby is floating on the surface 57 feet above
Harper, and Meg is exploring a coral reef 76 feet in front of Harper. How far apart are Toby
and Meg?
Answers
The distance between Toby and Meg are approximately 95 feet apart.
How to solve for the distanceWe can solve this problem using the Pythagorean theorem, which relates the lengths of the sides of a right triangle.
The distance between Toby and Meg is the hypotenuse of a right triangle with legs 57 feet and 76 feet.
So we can use the Pythagorean theorem to find this distance:
distance^2 = 57^2 + 76^2
distance^2 = 3249 + 5776
distance^2 = 9025
distance = sqrt(9025)
distance = 95
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