or parallelogram ABCD, A(0, 0), B(a, b), and D(c, 0) are three of its vertices. Find the coordinates of C in terms of a, b, c.
Answers
Because ABCD is a parallelogram, therefore
(i) AD = BC, so that
x - a = c - 0
x = a + c
(ii) AB = DC, so that
y - 0 = b - 0
y = b
he coordinates of C are (a+c, b).
Answer: (a+c, b)
Answer:
(a + b, c)
Step-by-step explanation:
I did this is school and this was the correct answer!
If you need extra security just look at this brainly question. (below ) It is the same question asked by a diffrerent person. And these people got this answer also!
https://brainly.com/question/3718051?referrer=searchResults
Related Questions
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether
Answers
Find the exact circumference of a circle with the given radius. 36 inches C = 72 in. 36 in. 18 in. IN PIE TERMS PLEASE!!!!!:)
Answers
or C = 2pi(36 inches) = 72pi inches. Please note: that's pi, not pie.
Answer:
The circumference of a circle is [tex]72\pi [/tex] .
Step-by-step explanation:
Forrmula
[tex]Circumference\ of\ a\ circle = 2\pi r[/tex]
Where r is the radius of the circle .
As given in the question
The radius of the circle is 36 inches .
Put all the values in the formula
[tex]Circumference\ of\ a\ circle = 2\times 36\pi [/tex]
[tex]Circumference\ of\ a\ circle = 72\pi [/tex]
Therefore the circumference of a circle is [tex]72\pi [/tex] .
While free diving in the ocean Samantha once set a record by diving 525 feet in 3 1/2 minutes how many feet per minute did she dive?
Answers
Total number of feet = 525 feet
Total time in minutes = 3 1/2 minutes = 3.5 minutes
=> feet per minute = 525 feet / 3.5 minute = 150 feet per minute
Answer: 150 feet / minute
Let f = {(–2, 4), (–1, 2), (0, 0), (1, –2), (2, –5)}. Let g = {(–3, 3), (–1, 1), (0, –3), (1, –4), (3, –6)}. What is g(f(2))? -5 -1 2 The composition is undefined.
Answers
We will replace the f(2) with -5 to go from this
g(f(2))
to this
g(-5)
Now repeat the same steps but for g this time
Look through the set g for a point with x coordinate of -5. That point is NOT listed. Why not? Because the x values are -3, -1, 0, 1 and 3. None of which are -5.
No such point exists.
Final Answer: The composition is undefined
What is the expression for the calculation double 5 and then multiply by 3?
Answers
will be your answer for the expression
hope this helps
Armand ran the 100-yard dash in 17.18 seconds. Arturo's time has an 8 with a vaule 10 times the value of 8 in armand's time. What could be arturo's tome on the 100-yard dash?
Answers
Answer:
26.89 seconds
Step-by-step explanation:
Any number with an 8 in the tenths place will have an 8 with 10 times the value of the 8 in the hundredths place in Armand's time.
What number is 2 hundred 15 tens and 6 one
Answers
_________________________________
(215)*10 + 6*(1) = 2150 + 6 = 2156 .
______________________________________________
For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply.
If a polygon is regular, then it has congruent angles and congruent sides.
conditional
converse
inverse
contrapositive
Answers
Answer:
Conditional and Converse.
Step-by-step explanation:
If a polygon is regular, then it has congruent angles and congruent sides.
We can say that;
Hypothesis is : If a polygon is regular
Conclusion is : then it has congruent angles and congruent sides.
A conditional statement will not be true when the hypothesis is true but the conclusion is false. In the given statement, the above conditional statement has a truth value of true.
We can write the converse statement as : If it has congruent angles and congruent sides, then the polygon is regular.
This also has a truth value of true.
So, correct options are :
Conditional and converse
The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation 20,000e^0.15t=28,000 represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.
A. 2 years
B.9 years
C. 17 years
D. 22 years
Answers
The correct option is: A. 2 years
Explanation
The given growth equation is: [tex]20000e^0^.^1^5^t = 28000[/tex], where [tex]t[/tex] is the number of years the population has been growing.
For finding the number of years, we will solve the above equation for [tex]t[/tex].
First, dividing both sides by 20000, we will get........
[tex]\frac{20000e^0^.^1^5^t}{20000}=\frac{28000}{20000}\\ \\ e^0^.^1^5^t = 1.4[/tex]
Now taking 'natural log' on both sides, we will get........
[tex]ln(e^0^.^1^5^t)=ln(1.4)\\ \\ 0.15t*ln(e)= ln(1.4)\\ \\ 0.15t*1=ln(1.4)\\ \\ t=\frac{ln(1.4)}{0.15}=2.243..... \approx 2[/tex]
So, the population of the town has been growing about 2 years.
The town has been growing for 17 years
Exponential functionsGiven the exponential function
Given the expressions 20,000e^0.15t=28,000
We are to find the value of "t" which is the time.
e^0.15t = 28000/20000
e^0.15t = 7/5
e^0.15t = 1.4
Take the ln of both sides
lne^0.15t = ln 1.4
0.15t = 2.639
t = 2.639/0.15
t = 17years
Hence the town has been growing for 17 years
Learn more on exponential functions here: https://brainly.com/question/2456547
The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month? 0.2158 0.8750 0.0362 0.1151
Answers
Are you familiar with z-scores? According to the definition,
(given numerical value) - (mean)
z = ---------------------------------------------
standard deviation
Thus, with the given numerical value equal to 410 and the std. dev. equal to 75, the corresponding z-score is
410-500 -90
z = --------------------- = --------------- = -1.2
75 75
Use a table of z-scores to determine the area under the standard normal curve to the left of z = -1.2. Your result is the probability that a given family chosen at random spends less than $410 per month.
Answer:
0.1151
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
[tex]\mu = 500, \sigma = 75[/tex].
What is the probability that a family spends less than $410 per month?
This probability is the pvalue of Z when X = 410. So:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{410 - 500}{75}[/tex]
[tex]Z = -1.2[/tex]
[tex]Z = -1.2[/tex] has a pvalue of 0.1151. This is the answer.
misty is building a triangular plainting bed. two of the sides have lengths of eight feet and five feet. what are the possible lengths for the third side?
Answers
The length of the third side of the triangle Misty is building should be more than 3 feet and less than 13 feet, according to the Triangle Inequality Theorem.
Explanation:This question pertains to the numerical properties of a triangle, in which two side lengths of the triangle are provided, specifically eight feet and five feet. The length of the third side of the triangle is not set, but it has certain parameters due to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the possible lengths of the third side would be greater than the absolute difference of the two given sides (eight feet and five feet), and less than the sum of the lengths of the two given sides. Thus, the third side's length should be more than 3 feet (8 - 5) and less than 13 feet (8 + 5).
Learn more about Triangle Inequality Theorem here:https://brainly.com/question/1163433
#SPJ3
Explain why you add to find the sum of two integers, but subtract to find the sum of a positive and negative integer
Answers
when u r adding/subtracting signs....if the signs are the same, u add them and keep the sign.
-4 + (-2) = -4 - 2 = -6...........2 + 5 = 7......-3 + (-1) = -3 - 1 = -4
when ur adding/subtracting signs...if the signs are different, u subtract and take the sign of the larger number...
-4 + 7......subtract 7 - 4 = 3....the larger number (7) is positive, so ur answer is positive....so ur answer is 3
4 - 7....subtract 7 - 4 = 3....the larger number(-7) is negative, so ur answer is negative.....ur answer is -3
but dont get this confused with multiplying/dividing with signs....they have different rules
find 4 consecutive odd numbers such that the sum of the first and the forth is 27 less than three times the first
Answers
Let's assume
2n-3 the first number
2n-1 the second
2n+1 the third
2n+3 the forth
2n-3+2n+3=3*(2n-3)-27
4n=6n-9-27
2n=36
==>2n-3=33
2n-1=35
2n+1=37
2n+3=39
Proof: 33+39=72
3*33-27=72
If sinθ =4/5 , then cosθ = _____.
Answers
Answer:
cosθ = [tex]\frac{3}{5}[/tex] .
Step-by-step explanation:
Given : If sinθ =4/5 .
To find : cosθ = _____.
Solution : We have given that sinθ =4/5 .
By the trigonometric identity
cos²θ + sin²θ = 1.
Plugging the value of sinθ =4/5 .
cos²θ + [tex](\frac{4}{5}) ^{2}[/tex] = 1.
cos²θ + [tex]\frac{16}{25}[/tex] = 1.
On subtracting [tex]\frac{16}{25}[/tex] from both sides
cos²θ = 1 - [tex]\frac{16}{25}[/tex] .
cos²θ = [tex]\frac{25 -16}{25}[/tex] .
Taking square root both sides.
[tex]\sqrt{cos^{2}theta} = \sqrt{\frac{9}{25}}[/tex] .
cosθ = [tex]\frac{3}{5}[/tex] .
Therefore, cosθ = [tex]\frac{3}{5}[/tex] .
Write 24.652 as a mixed number.
Answers
24 65/100 is your answer
hope this helps
Jonathan can jog 3 2/5 miles in 7/8 hour.Find his average speed in miles per hour
Answers
Each U.S. penny weighs 2.5 grams. How many pennies,x is how many pennies it an equation, are on scale if their total weight is 37.5 grams:A. 2.5+x=37.5 x=12,B. 2.5x=37.5 x=15, C. x-2.5=37.5 x=40,D. 2.5x=37.5 x=18???? please answer quick.
Answers
then divide each side by 2.5
x = 15
letter B is your answer
The sum of three consecutive integers is −261−261. Find the three integers.
Answers
So x+x+1+x+2=-261
Meaning that 3x+3=-261
3x=-264
X=-88
So the three number are -88,-89-90
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same age have mean height 69.3 inches with standard deviation 2.8 inches. what are the z-scores for a woman 6 feet tall and a man 6 feet tall? what information do the z-scores give that the actual heights do not?
Answers
Juan's baseball card collection was worth 800$. Over the last 5 years,thw collection decreased $300 in value. What integer representa the average decrease in value each year.
Answers
Final answer:
The average yearly decrease in the value of Juan's baseball card collection, which decreased by $300 over 5 years, is $60. This integer represents the yearly reduction in value.
Explanation:
Juan's baseball card collection was worth $800. Over the last 5 years, the collection decreased by $300 in value. To find the average decrease in value each year, we can use the formula: Average decrease per year = Total decrease / Number of years.
Given that the total decrease is $300 and the time period is 5 years, the calculation would be:
Average decrease per year = $300 / 5 = $60.
Therefore, the integer that represents the average decrease in value each year for Juan's baseball card collection is $60.
The Sears tower in Chicago is 1,454 feet tall. Write the height as an integer
Answers
An integer is a whole number that is not a fraction or decimal.
The cost of a new house can be represented by the regression equation c = 120f + 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000. How many square feet does it have?
Answers
Answer: 2900 Square Feet
Step-by-step explanation: i took the test
Three consecutive integers whose sum is 36
Answers
x + (x+1) + (x+2) = 36
3x + 3 = 36
3x = 33
x = 11
To check work: 11+12+13 = 36!
Hope this helps!
a 26 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 2 in more than three times the length of the first piece find the links of the pieces
Answers
Write the quadratic equation whose roots are -2 and 3, and whose leading coefficient is 3
Answers
now, as far as the leading term's coefficient having a 3, we can simply make it a "common factor" of both terms.
[tex]\bf \begin{cases} x=-2\implies &x+2=0\\ x=3\implies &x-3=0 \end{cases}\implies (x+2)(x-3)=0 \\\\\\ \stackrel{\textit{common factor}}{3}(x+2)(x-3)=\textit{original polynomial} \\\\\\ 3(x^2-x-6)=y\implies 3x^2-3x-18=y[/tex]
if f(x)=4-x^2 and g(x)=6x, which expression is equivalent to (g-f)(3)?
Answers
a can of coffee weighs 13 ounces. what is the smallest number of cans that must be used to package 1,000 kilograms of coffee
Answers
Express the side length of a square as a function of the length d of the square’s diagonal. then express the area as a function of the diagonal length.
Answers
gerard is buying pencils in boxes of 10 he has 20 pencils but needs a total of 60 pencils
Answers
You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The needle of your pump has a radius of 4.5 millimeters. What is the volume flow rate of the air being pumped into the football?
Answers
Answer:
The volume flow rate of the air being pumped into the football is approximately [tex]\( 5.261 \times 10^{-7} \)[/tex] cubic feet per second.
Explanation:
To find the volume flow rate of the air being pumped into the football, we first need to calculate the cross-sectional area of the needle of the pump.
Given:
- The radius of the needle, [tex]\( r = 4.5 \)[/tex] millimeters.
The cross-sectional area, [tex]\( A \)[/tex], of the needle can be calculated using the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
Converting the radius from millimeters to feet:
[tex]\[ r = \frac{4.5}{1000} \text{ feet} \][/tex]
Now, let's calculate the cross-sectional area:
[tex]\[ A = \pi \left( \frac{4.5}{1000} \right)^2 \][/tex]
[tex]\[ A \approx \pi \left( \frac{0.0045}{1000} \right)^2 \][/tex]
[tex]\[ A \approx \pi \times 2.025 \times 10^{-8} \text{ square feet} \][/tex]
Now, we can find the volume flow rate, [tex]\( Q \)[/tex], of the air being pumped into the football. The volume flow rate is the product of the cross-sectional area of the needle and the speed of the air:
[tex]\[ Q = A \times \text{Speed} \][/tex]
Given:
- Speed of the air, [tex]\( \text{Speed} = 8.2 \)[/tex] ft/s
Now, let's calculate the volume flow rate:
[tex]\[ Q = \pi \times 2.025 \times 10^{-8} \text{ square feet} \times 8.2 \text{ ft/s} \][/tex]
[tex]\[ Q \approx 5.261 \times 10^{-7} \text{ cubic feet/s} \][/tex]