Answer:
x²+y² = 64
Step-by-step explanation:
The standard form of writing the equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given the diameter of the circle with endpoints (8,0) and (-8, 0)
d = √(x2-x1)²+(y2-y1)²
d = √(-8-8)²+(0-0)²
d = √(-16)²
d = √256
d = 16
radius r = 16/2
r = 8
The centre of the circle will be the midpoint of the coordinates
M = (8-8/2, 0+0/2)
M = (0/2, 0/2)
M = (0,0)
Hence the centre is at (0,0)
Get the required equation
Recall that (x-a)²+(y-b)² = r²
Substitute the centre and the radius
(x-0)²+(y-0)² = 8²
x²+y² = 64
This gives the required equation
The velocity of a ball thrown upward into the air is given by v(t)= -32t+96 where t is measured in seconds and velocity v in feet per second calculate the displacement of the ball between t=1 and t=4
Answer:
The displac ment between t = 1 and t = 4 is 272 feet
Step-by-step explanation:
To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.
We can do this by differentiating the velocity equation given:
v(t) = -32t +96
integrating between the limits of t = 1 and t = 4, we have
[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]
[tex]s(t) = -32t^2/2 +96t[/tex]
[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]
where t = 4.
s = 256 + (96) =352 feet
Where t = 1
s = 80
Displacement of the ball = 352 -80 = 272ft
The displac ment between t = 1 and t = 4 is 272 feet
The values of several terms in a sequence are shown in the table.
Second=5
Fourth=12
Seventh=22.5
Find the first term, f (1).
Answer:
1.5
Step-by-step explanation:
You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.
What is the midpoint of the segment shown below? (-3, 4) (-6, -1)
A. (-9,3) O B.(-9/2, 3/2) C. (-9, 3/2) D. (-9/2,3)
Answer:
B) -9/2 , 3/2
That's the correct answer
The midpoint of the given segment is (-9/2, 3/2), so the correct option is b.
Where is the midpoint of the segment?For a segment whose endpoints are (a, b) and (c, d), the midpoint of that segment is given by the point:
( (a + c)/2, (b + d)/2).
In this case the endpoints are (-3, 4) and (-6, -1), using the above formula, we get that the midpoint is:
( (-3 - 6)/2, (4 - 1)/2) = (-9/2, 3/2)
We can see that the correct option is B.
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Please help me with this
Answer:
5575.28
Step-by-step explanation:
Sphere volume: (4/3*3.14) multiplied by 11x11x11
Hope this helps :D
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Answer:
5: 113.1 cm^3
6: 7238.23 cm^3
Step-by-step explanation:
The formula is V=4/3(pi)r^3, so just plug in values for R.
Find the circumference of the given circle
18pi since the radius is 9 and to find circumference you use C=2(pi)(r)
What is the value of the angle marked with xxx?
The diameter of a circle is 20 in. Find its area in terms of pi
Answer:
Is that your answer ☺️☺️☺️
The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. A circle is a closed plane geometric shape. The area of the circle with diameter 20 in is 100 π inches².
What is area of a circle?The area of the circle is defined as the region occupied by the circle in a two dimensional plane. The diameter of the circle is the line which divides the circle into two equal parts and radius is half of the diameter.
The unit of area of a circle is m², cm², etc. The equation used to calculate the area of the circle is:
Area of a circle = π × r²
Here radius = 10 inches
Then the area of circle is given as:
Area = π × 10 × 10 = 100 π inches²
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Volume for 8 x 2 x 4
A cylinder has a radius 2.4 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth meter
Answer:
5.25
Step-by-step explanation:
beth ran 1 1/2 and 2 1/8 and 1/32 during the week how many miles did beth run
HURRY!!!!! Hey guys help me with this PI question. Pi = 3.14
Thank you!
Answer:19.625in
Step-by-step explanation:
Answer: 19.625 inches is the answer
Step-by-step explanation:
Kylie needs a $5,000 loan to buy a used car. Which loan option would allow her to pay the least amount of Interest?
Answer:
Let Kylie use the simple interest option
Step-by-step explanation:
Given data
Principal= $5,000
I will advise Kylie to pay up the loan using the simple interest option, this is because the interest does not get to compound (pile-up) over time
But with the compounding interest option, the interest tends to increase exponentially
Which function displays this end behavior p
Answer:
Option D.y=-2x³-1 will be your answer
Step-by-step explanation:
hope it helps...
have a great day!!
A garden is in the shape of a square with a perimeter of 68 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. If the material used to build the two fences is $1.37 per foot, what was the total cost of the fences?
Answer:
$197.28
Step-by-step explanation:
perimeter of a square = 4 x length
length = perimeter / 4 = 68/4 = 17 ft
Price of the first fence = perimeter x price per foot
68 x 1.37 = 93.16
Perimeter of the second fence = (17 + 2 ) x 4 = 76
total price = sum of the price of the two fences
Price = 76 x 1.37 = 104.12
total price = 197.28
SECTION C
11. UNE PISCINE
L'opération consistant à vider une piscine débute à 8 h du matin. À 10 h du matin, la
piscine contient 80 000 litres d'eau et à midi elle contient 64 000 litres.
Si la piscine se vide à un débit constant, à quelle heure la piscine sera-t-elle vide?
Curtis bought a shoe for $650.95 and sold it to agyei at a profit of $75.how much did he sell the shoe for ?
Answer:
$725.95
Step-by-step explanation:
add the two amounts together.
650.95+75 = 725.95
Please help me out with my work
Seeing that its a right triangle...
We can use pythagorean theorem.
8^2 + 4^2 = x^2
64 + 16 = x^2
80 = x^2
x = 8.94427191
I need help fast please and no fies
Answer:
x=-16
Step-by-step explanation:
from x=-3 to get to y=12 u need to multiply x=-3 by -4 to get to 12 so for y=64 u need to divide by -4 which equals x=-16
Answer:
x is (-16)
Hope it helps!!!
68km, 32km Pythagorean
Whats the missing leg?
Answer:
a = 60km
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
a² + 32² = 68²
a² + 1024 = 4624
*subtract 1024 from both sides to isolate a² *
a² + 1024 - 1024 = 4624 - 1024
a² = 3600
*square root both sides to isolate a*
√(a²) = √3600
a = 60km
Find the solution to the following system using substitution or elimination:
Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
Matthew’s math teacher gave him 6 tests. If his average was 72%, what was the sum of all of his tests? Show ALL of your work.
I think its angle bisector but want to make sure.
Answer:
Yes, that's an angle bisector.
You are correct in saying that this is a bisector.
The formula for determining the pressure, p, exerted
on an object at a depth, h, below the surface of a
liquid is p = s + dgh, where s is the atmospheric
pressure, d is the density of the liquid, and g is the
acceleration due to gravity. Which formula
represents h in terms of p, s, d, and g?
Answer:
p = s + dgh
p - s = dgh
(p - s) / dg = h
Answer = h= p-s/dg
The formula that represents the height "h" in terms of p, s, d, and g is expressed as (p - s)/dg
Given the formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid expressed as p = s + dgh where:
s is the atmospheric pressure,
d is the density of the liquid, and;
g is the acceleration due to gravity
We are to make h the subject of the formula;
p = s + dgh
Subtract s from both sides
p - s = dgh
dgh = p - s
Divide both sides by dg
dgh/dg = (p - s)/dg
h = (p - s)/dg
Hence the formula that represents the height "h" in terms of p, s, d, and g is expressed as (p - s)/dg
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Slope of the line pls helpppppp
Answer:
[tex] slope(m) = \frac{3}{2} [/tex]
Step-by-step explanation:
Slope (m) = change in y / change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two pairs of values to find the slope. Thus, let's use (-14, 3) and (-12, 6):
Where,
[tex] (-14, 3) = (x_1, y_1) [/tex]
[tex] (-12, 6) = (x_2, y_2) [/tex]
Plug in the values
[tex] m = \frac{6 - 3}{-12 -(-14)} [/tex]
[tex] m = \frac{3}{2} [/tex]
Which is the area of the parallelogram
Answer:
96
Step-by-step explanation:
formula is simple
just base times height
so 12 × 8 which is 96
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
what is the measurement of the missing angle
Answer:
65
Step-by-step explanation:
115-180=65 degrees
Answer:
68+47+x= 180
x=180-115
x=65
PLEASE HELP! This problem contains Algebra which I am super bad at!
Answer:
c
Step-by-step explanation:
because the i just worked it out
Please someone smart help please
Answer:
10
Step-by-step explanation:
Translate this phrase into an algebraic expression.
17 increased by twice Malik's score
Use the variable m to represent Malik's score.
Answer:17+2m
Step-by-step explanation:
