The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\) . Thus, option D is correct.
What is the adjacent vertices?To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:
The distance between \((5, 6)\) and \((9, 6)\) is \(4\) units.
The distance between \((5, 6)\) and \((5, 3)\) is \(3\) units.
The distance between \((9, 6)\) and \((5, 3)\) is \(5\) units.
Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).
However, only \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from \((5, 6)\) and \(4\) units away from (9, 6), forming a right angle with both.
Therefore, the correct answer is \((9, 3)\).
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An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?
Answer:
\(7\frac{5}{16}\) ANSWER (C.
Step-by-step explanation:
Multiply \(9\frac{3}{4}\) by \(\frac{3}{4}\) to get \(\frac{117}{16}\)
-
\(7\frac{5}{16} = \frac{117}{16}\)
because 7 multiply by 16 plus 5 = 117
So 117 over 16
is the same as \(7\frac{5}{16}\) .
An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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a seller slicedsome pizzas imto eights. after selling 57 slices 7 slices were left how many whole pizzas did the vendor slice?
Answer Plz
9
57+7=64 (no. of slices)
64 ÷ 7 = 9 R 1
Question 2
Find the measure of the side indicated. Round to the nearest tenth.
A) 26.4 yd
C) 33.4 yd
B) 30.7 yd
D) 32.2 yd
Answer:
Hope this helps, happy studying!!!
solve for the inequality ᵏ⁄₄ ≥ 6
Answer:
k ≥ 24
Step-by-step explanation:
ᵏ⁄₄ ≥ 6
Multiply each side by 4
ᵏ⁄₄ *4 ≥ 6*4
k ≥ 24
Answer:
k≥24
Step-by-step explanation:
k/4≥6
Use the multiplication property of equality by multiplying both sides by 4 to get
k≥24
If this is wrong or if I did something wrong, please tell me so I can learn the proper way, I am just treating this like a normal problem
Thank you
What is
x + 9 = 18 + -2x
Answer:
The solution to the equation x + 9 = 18 + -2x is x = 3.
Step-by-step explanation:
To solve this equation for x, you can first simplify both sides of the equation by combining like terms.
x + 9 = 18 + -2x
Add 2x to both sides:
x + 2x + 9 = 18
Combine like terms:
3x + 9 = 18
Subtract 9 from both sides:
3x = 9
Finally, divide both sides by 3 to solve for x:
x = 3
Therefore, the solution to the equation x + 9 = 18 + -2x is x = 3.
HOPE THIS HELPED:)))
Answer:
3
Step-by-step explanation:
replace the + with - signs
x+9=18−2x
add the 2x to both equations and x becomes a 1 since we dont know its value.
3x+9=18
then you got to subtract 9 by 18 and that equals to 9 then
3x=9 3 divided by 9 is 3 and when simplified
and the answer is 3
The cost of printing books C varies partly as the amount A charged by the printer
and partly varies inversely as the number n of books printed. When 1000 books
were printed, the amount charged was GHC5000 and the cost of printing was
GHC75010 and when 2500 books were printed, the amount charged was
GHC10000 and the cost of printing was GHC50,004.
Find an equation connecting C,A and n
The equation connecting C,A and n is C = 25A - \(\frac{49990000}{n}\)
What is variation?Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.
Analysis:
C = AK + M/n
where K and M are constants
when n = 1000, A = 5000, C = 75010
75010 = 5000K + M/1000-----------1
50004 = 10000k + M/200-------------2
solving simultaneously, K = 25, M = -49990000
C = 25A - 49990000/n
In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n
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Graph the line with slope -3/4 passing through the point (2,2)
Step-by-step explanation:
the answer is in the graph above
Use the distributive property to remove the parentheses. -3(4v-2y-6)
-12v+6y+18
you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18
i hope this helps :)
How many x-intercepts does the graph of the function y= 3x^2 - 6x + 5 have?
when multiple manufacturing processes generate a single output, it is called a joint manufacturing process.
True
False
Answer:
I think it's false
Step-by-step explanation:
Cuz that process is in which one input generates/yields multiple outputs
unit 10: circles Homework 4: Inscribed angles. please complete the following questions and explain how it is done.
Answer:
Step-by-step explanation:
5. angle FDE = 180-90-63 = 27°
arc FE = 2×27 = 54°
6. arc GJ = 360-68-31-115 = 146°
angle GHJ = 146/2 = 73°
7. angle GIJ = 146/2 = 73°
8. arc DAB = 2×101 = 202°
arc BCD = 360°-202 = 158°
angle A = 158/2 = 79°
angle B = 360-79-110-68 = 112°
10. see picture
5) The sum of angle in the triangle DEF is 180 degrees
mFE = <D
Recall that <D+<E+<F = 180⁰
<D+63+90 = 180
<D = 180-153
<D = 27 degrees
Hence the measure of arc FE is 27degrees
6) For this circle geometry, we will use the theorem
The sum of Opposite side of a cyclic quadrilateral is 180 degrees.
A + C = 180
m<A + 101 = 180
m<A = 180-101
m<A = 79degrees
Similarly
B + D = 180
m<B + 68 = 180
m<B = 180-68
m<B = 112degrees
7) The sum of angle in a circle is 360, hence;
arcGJ+68+31+115 = 36p
arcGJ = 360 - 214
arcGJ = 146⁰
Since the angle at the centre is twice angle at the circumference, then;
<GHJ = 1/2 arcGJ
<GHJ = 1/2(146)
<GHJ = 73⁰
<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)
8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.
P + R = 180
57 + <R = 180
m<R = 180-57
m<R = 123degrees
Similarly, m<Q+m<S = 180⁰
Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)
m<S = 180 - 90
m<S = 90 degrees
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HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
6³=216. Using exponents, write three expressions whose value is 216.
Please help I don't understand.
9514 1404 393
Answer:
216 = 2³·3³ = 8·3³ = 27·2³
Step-by-step explanation:
6³ = 2·2·2·3·3·3
The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.
= 2·2²·3³
= 8·3³
= 6·2²·3²
= 6·6²
= 27·2³
A rental car company charges $72.37 per day to rent a car and $0.06 for every mile
driven. Colton wants to rent a car, knowing that:
• He plans to drive 275 miles.
• He has at most $450 to spend.
Answer:
5.99 days.
Step-by-step explanation:
If you are asking how many days he can rent the car then this is the correct answer.
So first multiply 275 x .06 to get how much money he will spent on the mileage. Which is $16.50. Then subtract that from $450 which is $433.50 and divided by $72.37.
Select the correct answer from each drop-down menu.
Consider the function Ax) = 3x+ 1 and the graph of the function g(x) shown below.
Answer:
write three methods of writing set. Give one example of each methods.
The restaurant ordered small pictures and large pictures to decorate the restaurant. 6 times as
many small pictures were ordered as large pictures. If there were 25 large pictures, how many
more small pictures were ordered than large pictures?
Answer:
125
Step-by-step explanation:
25 x 6 = 150
150 - 25
Answer:
Step-by-step explanation:
y= -1/4x
Select an expression that is equivalent to to 5√6^3 5 √6^4
Answer:
5400 square root of 6
Step-by-step explanation:
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
2x+1
y=2x+7
y=x/2 +1
y= -x/2 +7
The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.
To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given points into the formula, we get:
m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2
Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.
y = mx + b
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:
y = -x/2 + 5
So, correct option is A.
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Complete question is:
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
y = -x/2 + 5
y=2x+7
y=x/2 +1
y= -x/2 +7
How do you solve this
Answer:
y= -2
X= 7
\(using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2\)
which expression is not eaual to one fourth of 52
Expression not equivalent
1/4 of 52
52 = 2 x 2 x 13
Then
0.25 = 1/4 Option 1 is equivalent
4% = 1/25. Then option 2 IS NOT equivalent
52-:-4. IS equivalent
52/4. IS equivalent
SO THEN right answer IS OPTION B)
When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?
A repeating decimal is acceptable to use during calculations when you require a certain level of precision
When is a repeating decimal acceptable to use during calculations?A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.
It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.
On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.
Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.
Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.
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After adding the two equations to eliminate x you are left with 4y=-8. Solve for y: y =
Answer: -2
Step-by-step explanation:
4y/4 = -8/4
y = -2
Answer:
Step-by-step explanation:
Answer is -2
What is the measure of angle AED?
Answer:
Step by step explanation:
well this is simble you just do it
Write this ratio as a fraction in lowest terms.
20 minutes to 70 minutes
Answer:
2:7
Step-by-step explanation:
20/70=2/7=2:7minutesThree specimens of Alloys A, B, C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in the alloy A?
Answer:
X=10%
Y=30%
Step-by-step explanation:
The required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Percentage of copper in A = 1/2 [percentage of copper in ingot]
= 1/2 × 20% = 10%
Percentage of zinc in A = 1/3 [percentage of zincin ingot]
= 1/3 × 40% = 13.34%
Thus, the required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.
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The question seems to be incomplete,
Complete question.
Three specimens of Alloys A, B, and C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in alloy A when copper is half of the copper in the ingot and zinc is 1/3 of the zinc in the ingot?
Highlight (1)
Science - Ruhul A Mollah
W-
OD.
South
-E Pacific
Ocean
South
Atlantic
Ocean
38ee7c7-4516-4260-a430-9d81b38467df
Search
Indian
Ocean
3
Southern
Ocean
LEGEND
= increasing sea level trends
•= decreasing sea level trends
Do the local tide measurement data support or contradict the global satellite data?
OA.
The tide measurement data contradict the satellite data because the tide measurement data show that the local sea level trends at some locations
are decreasing.
OB. The tide measurement data support the satellite data because the number of places where local sea level trends are decreasing is so small that they
can be ignored.
OC. The tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of
increasing local sea level trends.
8
(3
S
The tide measurement data support the satellite data because the tide measurement data show that the number of increasing local sea level trends a
significantly greater than the number of decreasing local sea level trends.
ex
#
Time Remaining 00:30:14
Question 10 of 16
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Previous
AOGRE0
The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.
Describe Measuring of tides?Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.
Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.
The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.
The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.
Therefore, the Option C is correct.
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The complete question is: