Answer:
y = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre ad r is the radius
Given
x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )
x² + 18x + y² - 10y = 2
Using the method of completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25
(x + 9)² + (y - 5)² = 108 ← in standard form
with centre = (- 9, 5 )
The y- coordinate of the centre is therefore y = 5
-2x + y = 4
y = x + 2
Third question^ solve the system of equations
Answer:
x=-2 y=0
Step-by-step explanation:
put the second equation in to the first one
-2x+x+2=4
-x=2
x=-2
y=-2+2=0
x=-2 y=0
need asap! please help!
Answer:
x = 2
Step-by-step explanation:
7x + 5 = 19
Subtract 5 on both sides
7x = 14
Divide by 7 to isolate x
x = 2
Hope this helps!
Please help i am stuck please
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Sample
Adventur/ Beach/ Cruise/ Ski /
A 6/ 5/ 70/ 19
B 1 / 6 72 / 21
Which of the following inferences can be made based on the data?
A)Most members prefer a beach vacation.
B) Most members prefer a adventure vacation.
C)More members prefer an adventure vacation and a ski vacation than a cruise vacation.
D)More members prefer a beach vacation and ski vacation than an adventure vacation.
Answer:
it is D
Step-by-step explanation:
Sophia and Jackson are both saving money for college. Sophia has already
saved $700 and plans on saving $60 a week from her part time job as a
waitress. Jackson has not saved any money yet, but he just got a job as a
bank teller and plans on saving $80 week. How long will it take before Sophia
and Jackson have saved the same amount of money?
Answer:
33.5 weeks
Step-by-step explanation:
A cube has an edge measuring 6 cm. Find its volume.
Answer:
216
Step-by-step explanation:
Hope this helps.
Answer:
Side of cube = 6 cm
Volume = side ^3 = 6^3 = 216 cm^2
Solve for x: 2800 = 400 * 2^10x
it should be x=log(7)/10*log(2) and x=in(7)/10*in(2)
so B and D
The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex]. Option D is correct
To solve [tex]2800 = 400.2^{10x}[/tex] for x.
what is an exponential function?The function which is in format f(x) = [tex]a^x[/tex] where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
[tex]2800 = 400.2^{10x}[/tex]
[tex]2800/400= 2^{10x}[/tex]
[tex]7=2^{10x}[/tex]
taking log on both sides.
[tex]log_27=10x\\x=log_27/10\\x = log_e7/(10*log_e2)\\x =ln7/(ln2*10)[/tex]
(By properties of logarithm log can be separated to common base e)
The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex].
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A right-angled triangle has a hypotenuse
of length 45 cm and adjacent sides of
36 cm and 27
Calculate the perimeter and area
Answer:
P = 108cm
A = 486 cm^2
Step-by-step explanation:
To find the perimeter add up all the side
P = 36+27+ 45 =108 cm
The area is
A = 1/2 bh
A = 1/2( 27)*36
A = 486 cm^2
I need help answering
What is 25 percent of 48?
Answer:
12
Step-by-step explanation:
Divide 48 into 4 parts
Answer:
(25:100)*48=
(25*48):100=
1200:100=12
Answer=12
Given f(x)=(x+5)(x-2), what are the x-intercepts?
Answer:
The intercepts are -5 and 2
Step-by-step explanation:
Using the zero product property
f(x)=(x+5)(x-2)
0 =(x+5)(x-2)
0 = (x+5) 0=(x-2)
x = -5 x = 2
The intercepts are -5 and 2
QUICK ILL GIVE YOU 20 POINTS
Paul weighs 36 kg. Felix weighs half as much as Paul, and Frank weighs 4 kg more than Felix.
Answer:
Idk what you need but here is everything possible
Step-by-step explanation:
Paul = 36kg
Felix = 18kg
Frank = 22kg
36+18+22=76
Their weight all together is 76kg.
Answer:
Paul is 36 kg
Felix is 18 kg
Frank is 22 kg
Step-by-step explanation:
Pauls answer is in the question (36kg)
Felix is half of paul 36/2=18
Frank is 4 kg more than Felix 36/2=18 18+4=22
Which data set is the most spread from its mean?
14. 26 24 28
22 16 18 36
24 19 27.25
Answer:
22 16 18 36
Step-by-step explanation:
What is the area of the shaded region to the nearest tenth of a foot?
help plz question is in the photo
Answer:
A. Trinomial
Step-by-step explanation:
It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:
Cubic is just a variable with the exponent of 3. Examples:
[tex]x^3,y^3,z^3[/tex]
Binomial is a polynomial with 2 terms. Examples:
[tex]5x+3; 6x+2; x+7[/tex]
A quadratic has a division sign.
Does anybody have their geometry notebook for E2020? I need it to get credit for the course but I lost mine.
Answer:
Sorry, I don't have one.
Step-by-step explanation:
A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?
Answer:
Step-by-step explanation:
so, by the Pythagorean theorem
If it is a right triangle:
a^2 + b^2 = c^2
so,
6^2 = 36
8^2 = 64
10^2 = 100
okay, now we plug these into the equation
36 + 64 = 100
so yes, it is a right triangle.
Hope this helped!
Answer:
No, it's not a right triangle.
Explanation:
If you think about it a right triangle has 2 equal sides. So no this isn't a right traingle.
John recorded the weight of his dog Spot at different ages as shown in the scatter plot below.
Part A:
Write an equation that would describe the line of best fit.
Part B:
Using the line of best fit, make a prediction of Spot's weight after 18 months.
Answer:
A) y = 1.875x + 1.25
B) 35 pounds
Step-by-step explanation:
A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).
General equation of a line:
y = mx + b
Slope of the line:
m = (20 - 5)/(10 - 2) = 1.875
y-intercept is found replacing a known point and the slope into the general equation:
5 = 1.875*2 + b
b = 5 - 1.875*2 = 1.25
The final equation is:
y = 1.875x + 1.25
where y represents weight (in pounds) and x represents age (in months)
B) At x = 18:
y = 1.875*18 + 1.25 = 35
Sandy is 6 inches taller than Marie. If Marie
is an odd number of inches tall, which of the
following could be Sandy's height?
Answer:
# Theoretically, the height of Sandy must be an odd numbers, and not less than 5.
It may be: 7,9,11,....
# However, as 1 inch for the height of a girl is too funny - Marie can not have a height of 1 inch ( only in the case Marie and Sandy are the names of the toys!) - you should choose the number that fits best to the human height.
Step-by-step explanation:
Please see the explanation for the answer in the picture attached below.
What is the mean absolute deviation of her math scores?
5.4
6.4
7.8.
o
8.8
Answer:
The mean absolute deviation (MAD) of her Math scores would be 1.2.
Step-by-step explanation:
Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1
7.1 - 5.4 = 1.7
7.1 - 6.4 = 0.7
7.1 - 7.8 = 0.7
7.1 - 8.8 = 1.7
Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2
hope this helps :)
Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.
Step-by-step explanation:
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
From the sample population of students with blond hair, what is the approximate value of the relative frequency of students with green eyes? A. 0.25 B. 0.33 C. 0.27 D. 0.07
Don't quote me on this but I think the answer is C. 0.27
The required approximate value of the relative frequency of students with green eyes is 0.27. Option C is correct.
From the sample population of students with blond hair, the approximate value of the relative frequency of students with green eyes is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Number of students having green eyes with blond hair =21
Total number of students having blond hair = 78
relative frequency of students with green eyes = 21/78
= 0.27
Thus, the required approximate value of the relative frequency of students with green eyes is 0.27.
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The question here is incomplete so the necessary data has been provided in the image below as reference to the question.
Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O
Answer:
C. If you flip a coin, it will come up either heads or tails.
Step-by-step explanation:
A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.
B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.
C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.
D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.
Answer:
If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.
Step-by-step explanation:
What is the length of AR if the radius of the circle is 6 cm?
Step-by-step explanation:
[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]
The diagram shows a toy car on a number line.
What is the position of the car?
-4
0 1
02
0
6
10
Answer:the answer is 02
Step-by-step explanation:
The solution is, c. 2, is the position of the car.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
Before solving the problem, we should understand what is the length that corresponds to one notch in the graph.
We see that there are 3 notches between 0 and 6, and that the length of the notches is constant: so, each notch corresponds to the same length. Since we have 3 notches, the length of each notch is
6/3 = 2
now, we have,
Since the car is located at the first notch, it means that its position is:
x = 1*2 = 2
Hence, The solution is, c. 2, is the position of the car.
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If a system of linear equations has one solution, what does this mean about the two lines?
A. The same line
B. Parallel lines
C. Intersecting lines
Answer:
It means two lines intersected.
C is correct
Hope this helps!
:)
If a system of linear equations has one solution, this means that the lines are intersecting lines
Intersecting lines are lines that meet at a point.
For parallel lines, they do not meet at any point. Hence the system of equation formed by these lines does not have a solution
For two intersecting lines, the equation of both lines can be equated to get the unknown variable. This unknown variable will serve as the solution to the system of equation
Hence If a system of linear equations has one solution, this means that the lines are intersecting lines
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are the selection independent or dependent?
Answer:
Independent
Step-by-step explanation:
Joe worked 42 hours and packed 48 cartons. Bob worked 14 hours and packed 16 cartons. Did Joe and Bob work at the same rate?
Answer:
Yes
Step-by-step explanation:
if you simplify. 42/48. 7/8
if you simplify 14/16 is 7/8 So they are equal
If Joe worked 42 hours and packed 48 cartons and Bob worked 14 hours and packed 16 cartons, Joe and Bob worked at the same rate.
To determine if Joe and Bob worked at the same rate, we need to compare the number of cartons they packed per hour. We can calculate the rate by dividing the number of cartons packed by the number of hours worked.
For Joe:
Rate = Number of cartons packed / Number of hours worked
Rate = 48 cartons / 42 hours ≈ 1.143 cartons per hour
For Bob:
Rate = Number of cartons packed / Number of hours worked
Rate = 16 cartons / 14 hours ≈ 1.143 cartons per hour
Both Joe and Bob have a packing rate of approximately 1.143 cartons per hour.
They packed almost the same number of cartons per hour on average. This indicates that their packing efficiency is similar, regardless of the difference in the total number of hours or cartons packed.
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This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.
14 in
16 in
17 in
19 in
PLS HELP PLS HELP!!!
Answer:
40 inches^3
Step-by-step explanation:
Look at the attachment
Answer:
40 inches^3
Step-by-step explanation:
