[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Standard equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of centre k = y - coordinate of centrer = radius of the circle
Now, let's plug in the values ~
[tex]\qquad \sf \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]
Therefore, the correct choice is B
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4
How to determine the circle equation?The center of the circle is given as:
Center (a,b) = (-5, -8)
The radius is given as:
Radius, r = 2
The equation of the circle is calculated using:
(x - a)² + (y - b)² = r²
Substitute values for r and (a,b)
(x + 5)² +(y + 8)² = 2²
Evaluate the square of 2
(x + 5)² +(y + 8)² = 4
Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4
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If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?
Answer:
54 kg
Step-by-step explanation:
We need to multiply!!
6 x 9 = 54
Have an amazing day!!
Please rate and mark brainliest!!
Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?
Answer: i think it will take 48 hours
Step-by-step explanation:
here's how to get 48 so basically 450-400-2= 48
now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48
i hope this helps!
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7
A birthday cake weighs 7/8 pounds. If 2/3 of the cake is flour, how much is flour
how many positive integers are between 28/3 and 83/5
Answer: ur dad
Step-by-step explanation:
lol
There are 7 positive integers in between 28/3 and 83/5.
What is an integer?
An integer is a whole number (not a fractional number) that can be positive, negative or zero.
Given that;
Two fractions are;
28/3 and 83/5.
Now, Write fraction into decimal form as;
28/3 = 9.33
83/5 = 16.6
So, All Integers in between 9.33 and 16.6 are;
⇒ 10, 11, 12, 13, 14, 15, 16
Thus, There are 7 positive integers in between 28/3 and 83/5.
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Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams
Answer:
9000 grams
Step-by-step explanation:
multiply the mass value by 1000
Khairi has only 20¢ and 50¢ coins in his coin bank. There are twice as
many 20¢ coins as 50¢ coins. How many 20¢ coins are there in the coin
bank if all the coins add up to $17.10?
Answer:
There is 43 20¢ in the coin bank.
Determine the type of symmetry of r=-7+ 2cos3ø from the equation, if any. Make sure to confirm graphically. Symmetric with respect to the:
A) pole
B) none of these
C)line /2
D) polar axis
well, hmmm to check for polar symmetry, hmmm say we simply replace the value for either "r" or "θ" or both in the original equation, if the equation rendered is the same as the original, there you have it, symmetry, so let's do that.
[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=-7+2cos(3\theta )\implies (-r)=-7+2cos[3(-\theta )]\implies -r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\implies r=7-2cos(3\theta )\impliedby \textit{woopsie, no dice} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=-7+2cos(3\theta )\implies r=-7+2cos[3(-\theta )]\implies r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\impliedby \textit{low and behold\qquad \Large \checkmark}[/tex]
now, we could run a test for "the pole" or namely the origin by simply changin r = -r, however we already know where the symmetry is, so no need.
Check the picture below.
For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?
Answer:
Step-by-step explanation:
he paid a 3 dollar fee so we can remove that 23.79-3 = 20,79
now we devide 20,79 by 11 or 189 minutes.
Can i have help on #3 and #2? Thanks<3
Answer:
I don't know if these are right
2.756
3. 1,426.42
what is 5b^-2/b^-3? I need to know
Answer:
5b
Step-by-step explanation:
Hope this helps <3
help please
1.) Write in words the decimal 123.0047.
Write in fractional notation and simplify.
2.) 0.91 3.) 2.769
Write in decimal notation.
4.) 74 over 1000 5.) 37047 over 10000 6.) 756 9 over 100
Which decimal number is greater?
7.) 0.07 or 0.162 8.) 8.049 or 8.0094
Round the next decimal number, 5.6783, to the indicated decimal place.
9.) To the Unit 10.) To the Thousandth 11.) To the Tenth
A Cyclist rides her bike of a rate of 18 Kilometers per hour. What is this rate in Kilometers per minute? How many Kilometers will the cyclist travel in 20 minutes? Do not Round your answers.
Step-by-step explanation:
18 ÷ 60 = 0.3
so 0.3 km per min.
0.3 × 20 = 6
so 6 km per hour
A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.
Please provide an expression, not just the surface area please :)
Check the picture below.
so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]
6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)
79.45401²
Step-by-step explanation:[tex]1)\ V=B\ Sh[/tex]
[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]
[tex]=79.403125[/tex]
[tex]\approx 79,45\ cm^3[/tex]
I hope this helps you
:)
Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.
To find the volume of a prism, we use the formula:
Volume = Base Area * Height
In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:
Base Area = Side Length^2
So, the base area can be calculated as:
Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2
Now, we can find the volume using the formula:
Volume = Base Area * Height
Volume = 14.0625 cm^2 * 5.65 cm
Volume ≈ 79.5025 cm^3
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I will give the brainiest if you get it right.
Answer:
1 ≤ x < 7/4
Step-by-step explanation:
The function f(x) is defined as increasing on the domain (-8, 4), so the ordering of the arguments is not changed by the function. We can solve the inequality as though f(x) = x, which is increasing everywhere.
Inequality solutionsf(4x -3) ≥ f(2 -x²)
4x -3 ≥ 2 -x² . . . . . . using our assumed definition of f(x)
x² +4x -5 ≥ 0 . . . . . subtract 2-x²
(x -1)(x +4) ≥ 0 . . . . factored form; zeros at -4, +1
The values of x that make this true are ones that make the factors have the same signs: x ≤ -4 or x ≥ 1.
Domain restrictionsThe domain of f(x) is -8 < x < 4, so we require the arguments of f be restricted to those values
Left side
-8 < 4x -3 < 4
-5 < 4x < 7
-5/4 < x < 7/4
Right side
-8 < 2 -x² < 4 . . . . . right side is always true
x² < 10 . . . . . . . . . . . add x² +8
|x| < √10 . . . . . . . . . . less restrictive than the the left-side restriction
SolutionWith the given domain restrictions on f(x), the inequality will be true on the interval ...
1 ≤ x < 7/4
__
Additional comment
The attached graph shows the left-side function argument (dashed blue) and the right-side function argument (dashed green) with the given domain restrictions. The red curve is the difference in function values for the function defined as above. It is only non-negative between 1 and 1.75 as we found above.
This general behavior is applicable for any f(x) that can be described as in the problem statement. For example, f(x) = √(x+8) also gives an increasing curve for the difference f(4x-3)-f(2-x²) on the interval (-5/4, 7/4) with an x-intercept of +1.
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What is the area in polynomial form
Answer:
[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]
Solution :
Area = lenght x widthLenght = x + 9
Width = x + 2
[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]
Answer:
[tex]x^2+11x+18\: \sf(square\:units)[/tex]
Step-by-step explanation:
To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.
Area of a rectangle = Length × Width
Area of blue rectangle: [tex]x \times x = x^2[/tex]
Area of pink rectangle: [tex]x \times 9 = 9x[/tex]
Area of green rectangle: [tex]2 \times x=2x[/tex]
Area of orange rectangle: [tex]2 \times 9=18[/tex]
Area of entire rectangle = blue + pink + green + orange
= [tex]x^2+9x+2x+18[/tex]
= [tex]x^2+11x+18\: \sf(square\:units)[/tex]
solve please. find volume
The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it
[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]
[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]
There is exactly 1 pair of parallel sides in the following shape.
The 7 unit side and the unit 10
since they are both perpendicular to the same 8 unit side
:)
What is the answer for this question?
Answer:
is this from flvs?
Step-by-step explanation:
simplify and tell the function
2x - 5
Step-by-step explanation:I just know and am positive with my answer. Hope this helped and have a good one!
Factor completely 4a^2-b^2-2a+b GUYS HELP THERE ARENT ANY CORRECT ANSWERS ON BRAINLY URGENT
Answer:
(2a-b)(2a+b-1)
Step-by-step explanation:
What is the value of [5] – 1 – 5] - ( – 5)?
Value is -1 , Hope this helps.
can someone please help me with this
Answer:
"4 or less, let it rest. 5 or more, raise the score."
Step-by-step explanation:
1) 5.57, 5.62, 5.59
2) 2.349, 2.352, 2.346, 2.354
3)
0.7
0.3
1.5
3.4
4)
3.74
0.93
0.33
1.56
I hope this helps! Have a lovely day!! :)
(I would appreciate brainliest!!)
please help I'm so stuck on this
Answer:
divide the anser in the pasage
Step-by-step explanation:
divide the two numbers
A company wants to decrease their
energy use by 15%. If their electric
bill is currently $2,100 a month,
what will their bill be if they are
successful? Give your answer
accurate to at least the nearest
dollar.
15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)
multiply the current bill by 85%
2100 x 0.85 = 1.785
the bill would be $1,785
-5 x + 10 -20 need help with this
Answer:
-5(x+2)
Step-by-step explanation:
How many subsets does the following set (4,5,6,7,8) have?
Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.
Step-by-step explanation:
Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.
Consider the function f(x) = - 3x² + 30% - 3.
Determine, without graphing, whether the function has a minimum value or a maximum value.
Find the minimum or maximum value and determine where it occurs.
Identify the function's domain and its range.
O
..
a. The function has a
value.
b. The minimum/maximum value is
It occurs at x =
c. The domain offis
(Type your answer in interval notation.)
The range of fis 1 (Type your answer in interval notation.)
Copyright
Answer:
a. maximum value
b. x = 5
c. domain = all reals , range = y is less than or equal to 72
Step-by-step explanation:
a. maximum because it is a negative function and thats the highest value
b. thats the x value of the vertex which is the highest point
Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Use the drop-down menus to explain how to solve this problem.
First multiply
Choose...
× $20 to find how much money Carly will earn washing cars. Then add this amount to
Choose...
to find how much money Carly has in all. Finally,
Choose...
the total to the cost of the skateboard.
Answer:
$149 - skateboard price
$52 - carly's money
$20 × 5 cars = $100
$100 + $52 = $152
$152 - $149 = $3 left