Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
Solve for x if:
y = 30
x = y
- + 20
3
A) 25
B) 40
C) 50
D) 30
Answer:
30?
Step-by-step explanation:
If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.
Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!
9514 1404 393
Answer:
15.4567.0787040.7872.0Step-by-step explanation:
Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)
If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.
The second attachment shows the names of the number places, if you need a reminder.
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
Which part of the human body is more complex, your heart or your circulatory system?
→heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.
If n + n + 2 = 10, then n= ____.
Answer:
n = 4
Step-by-step explanation:
Combine like terms and solve.
n + n + 2 = 10
2n + 2 = 10
2n = 8
n = 4
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
Please help me! Thank you!
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answer:
P(12, 5) = 95040
P(8,8) = 40320
Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.
If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???
Answer:
36 games won ...............
Answer:
y=1.06x-6
36
Step-by-step explanation:
A triangle has sides with lengths of 9 feet, 14 feet, and 15 feet. Is it a right triangle?
Answer:
No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.
Hunter took out a $3,500 loan with interest to pay for some business supplies. He will repay the loan in 3 years with monthly payments of $109.68. Find the total amount of Hunter’s repayment.
A. $329.04
B. $3,948.48
C. $1,316.16
D. $10,500
Answer:
A
Step-by-step explanation:
A. $329.04
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Find the length of the missing side. Round to the nearest tenth.
Find the length of the missing side. Round to the nearest tenth.
Answer:
Step-by-step explanation:
hey watch it fatty
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
#SPJ2
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
Answer:
the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it
Step-by-step explanation:
Answer:
84 miles
Step-by-step explanation:
Consider a person from birth to age 18 and the height of that person each of the years between birth and age 18. Which best describes the variables of age and height?
no correlation
positive correlation
negative correlation
Answer:
Seems to be no correlation at all.
Answer:
anges between -1 and +1 and quantifies the direction and strength of the linear association between the two variables. The correlation between two variables can be positive (i.e., higher levels of one variable are associated with higher levels of the other) or negative (i.e., higher levels of one variable are associated with lower levels of the other).
The sign of the correlation coefficient indicates the direction of the association. The magnitude of the correlation coefficient indicates the strength of the association.
For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
It is important to note that there may be a non-linear association between two continuous variables, but computation of a correlation coefficient does not detect this. Therefore, it is always important to evaluate the data carefully before computing a correlation coefficient. Graphical displays are particularly useful to explore associations between variables.
The figure below shows four hypothetical scenarios in which one continuous variable is plotted along the X-axis and the other along the Y-axis.
Step-by-step explanation:
Help me please please please please
pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35
In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP
Answer:
HK=42°
Step-by-step explanation:
because the arc of HK is two time bigger than HLK measurement
HLK=1/2HK
21°=1/2HK cross production
HK=2×21°
HK=42°
Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help
Answer:
I graphed it for you in the image below.
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.
What is a function?The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.
It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.
The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.
Thus, the graph is attached below.
Learn more about the function here:
brainly.com/question/5245372
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1/2x+3y=4 for x when y=6
Answer:
are you looking for the substiution
Step-by-step explanation:
Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?
Answer:
212
Step by Step Explanation:
out of 1/4 of the school, 53 chose summer
53*4=212
Help plz need answers less than 10 minutes
Answer:
the answer wouldbe 8585434930.123
Step-by-step explanation:
Find the value of x and then perimeter
Answer:
×= 4 and the perimeter is 18
Step-by-step explanation:
(x+3)(x-2)=14
x^2+x-6=14
x^2+x-20=0
(x+5)(x-4)=0
x=4
perimeter = 7(2)+2(2)=18
Factorise x^2-3x
plz help me
x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
There are 5 green skittles, 4 orange skittles, and 3 red Skittles in a bag. What is the probability of red Skittle, Not replacing it (eating it), then picking a green skittle?
Answer:
3/12
Step-by-step explanation:
the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!
2. There is still controversy about whether or not Pluto should be considered a planet. Although planets are
mainly defined by their orbital path (the condition that prevented Pluto from remaining a planet), the
issue of size is something to consider. The table below lists the planets, including Pluto, and their
approximate diameters in meters.
Planet
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
Approximate Diameter (m)
4.88 x 106
1.21 x 107
1.28 x 107
6.79 X 106
1.43 x 108
1.2 x 108
5.12 x 107
4.96 x 107
2.3 x 106
DI
a.
Name the planets (including Pluto) in order from smallest to largest.
Rank on the side. Hope I did this right! Here you go ⭐
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2