The height of the center of this circular clock (x - 4)² + (y - 7)² = 1, is 7 meters above the ground.
What are the types of equations of a circle?The equation for a circle has the generic form x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is x² + y² = r².
The polar form of the equation of the circle is (rcosθ)² + (rsinθ)² = p².
We know the standard formula of a circle is x² + y² = r² centered at the origin.
Now, (x - h)² + (y - k)² = r² represents a circle centered at (h, k).
Given, The equation (x - 4)² + (y - 7)² = 1, with units in meters, represents the location of the clock relative to the bottom left corner of the wall.
Therefore, (4, 7) is the center of the clock in the x-y axis when the y-axis represents height so it is 7 meters above the ground.
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2.1b b=5 please help
Answer: 10.5 :) good luck!
Step-by-step explanation:
Answer:
Step-by-step explanation:
10.5
A.) 15.7in
B.) 31.4in
C.) 40in
D.) 62.8in
Answer:
31.4 in
Step-by-step explanation:
This is a tricky question,
if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.
Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:
Circumference = 2πr
= 2 x 3.14 x 5
= 31.4 in
What is the kinetic energy of a 14 kg mass moving with a velocity of 3 m/s? 1 point
63 J
69 J
66 J
60 J
A 35 kg mass is lifted to a height of 5 m What is the notential anera?*
What is (528^5 x 2419^9)^6 - 328?
Also don’t answer unless your fine with getting hundreds of notifications.
Answer:
Exact Form:
(41036433850368 ^6 x 2419 ^54 )− 328
Decimal Form:
2.48516121 x 10 ^264
Answer:
Heyyy T-T
Step-by-step explanation:
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
The value of y varies directly with x. If x = 8 when y = 32, what is the value of x when
y = 112?
4
A B
14
с
28
D
448
I just need the answer pls
Answer:
(3.5, 5) is my answer
The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?
Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
What is 12 kg into grams
Answer: 12 kilograms= 12000 grams
Step-by-step explanation:
multiply the mass value by 1000
Answer:
1 Kg = 1000 grams
hence
12Kg = 12000 grams
What is 20% of 800, if 10% of 800 is 80?
Answer:
160
I hope it is helpful to you
Does the point (5, 8) satisfy the inequality 2x + y > 18?
Answer:
The answer is...... NO
Step-by-step explanation:
Step 1: Plug in your values in the x and y cordinates.
2(5) + 8 > 18
Step 2: Solve
Then you multiply 2 and 5 and get 10.
SO then your equation should look like this:
10 + 8 > 18
The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.
Hope this helps and have a great day! :)
PLS HELP I'LL MARK BRAINLEST
Answer:
x+74=135
x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)
5,15,35,65 solve the rule and the next term
Answer:
105
Step-by-step explanation:
Given the sequence of numbers
5,15,35,65
First lets get the common difference
d1 = 15-5 = 10
d2 = 35 - 15 = 20
d3 = 65-35 = 30
We can see that the differences form an arithmetic sequence
10, 20, 30..
Let's get the next term fist
Tn = a + (n-1)d
T4 = 10+(4-1)(10)
T4 = 10 + 3(10)
T4 = 10+30
T4 = 40
This means that the next term of the original sequence will be gotten by adding 40 to the preceding value
Next term = 65 + 40
Next term = 105
Hence the next term is 105
does this look right?
Answer:
What?
Step-by-step explanation:
what looks right?
Answer:
what ???¿???????
?????
PLS HELP I'LL MARK BRAINLEST
Answer: C
Step-by-step explanation:
hope this helped
Answer:
D and E.
Step-by-step explanation:
Each angle is a different length and no sides can be the same length. If two angles are the same the triangle is considered an isosceles triangle. If all sides are the same it is an equilateral triangle.
x^4-25x^2+144 by x-4
Answer:
x^5-25x^3-4x+144/x
Step-by-step explanation:
x^4-25x^2+144 by x-4
Write the division as a fraction
x^4-25x^2+144/x -4
Write all numerators above the common denominator
x^5-25x^3+144-4x/x
Use the commutative property to reorder the terms
x^5-25x^3-4x+144/x
if you can give me brainliest thad be amazing! if not thats fine as well, hope this helps
$49 to $149
A.2%; increase C.100%; increase B.67%; increase D.204%; increase
Answer:
D. 204% increase
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
Answer:
We know the volume formula of rectangular prism is:
Volume = Length × Width × Height
We are given:
Volume = 1428 in³
Height = 6 in
Length = 17 in
Width = p
Apply the formula!
1428 = 6 × 17 × p
1428 = 102p
Divide by 102 on either side to isolate p
p = 14
The width is 14 inches
Step-by-step explanation:
-4x + 3y - x - 2y + y
Answer: -5x+2y
Step-by-step explanation: Have a brilliant day! - Lily ^_^
Solve and check:
y = x + 4
y = 3x
Answer:
X=2
Step-by-step explanation:
3x = x + 4
3x - x = 4
2x = 4
x = 4/2
x = 2
Check:
3(2) = 2 + 4
6 = 6
Given m||n, find the value of x.
(2x-24)
(x+5)°
What is the approximate radius of a sphere with a volume of 1436 cm3?
A. 41 cm
B. 14 cm
c. 7 cm
D. 69 cm
Answer:
r≈7cm
Step-by-step explanation:
Using the formula
V=4
--------= πr^3
3
r=(3V
-------------
4π)⅓=(3·1436
4·π)⅓≈6.99877cm
the answer is 7cm
Answer:
C. 7 cm
Step-by-step explanation:
Took the quiz. Trust
Some friends shared 2 bags of chips. If each person got 2/3 of a bag of chips, how many friends were there?
Answer:
1 1/3
Step-by-step explanation:
2/5-1/4 simplified please help will make brainliest
Answer:
8/20-5/20
Step-by-step explanation:
Answer:
0.15
Step-by-step explanation:
0.4-0.25
0.15
the interior angles formed by the sides of a quadrilateral have measures that sum to 360 degrees. what is the value of x? enter your answer in the box
x =_____
Answer:
x = 59
Step-by-step explanation:
since the quadrilateral add up to 360 degrees,
X + X + (2x + 3 ) + (2x + 3) would equal 360 degrees
x + x + (2x + 3) + (2x + 3) = 360
6x + 6 = 360, addtion
6x = 354, subtraction
x = 59, division
Consider the figure below.
What are the values of x and y?
Answers:
x = 14
y = 14
==========================================
Explanation:
The tickmarks indicate the sides x and y are the same length.
So y = x or x = y
We can use the Pythagorean theorem to say
a^2 + b^2 = c^2
x^2 + y^2 = (14*sqrt(2))^2
x^2 + x^2 = 14^2*(sqrt(2))^2
2x^2 = 196*2
x^2 = 196 ...... divide both sides by 2
x = sqrt(196)
x = 14
This must mean that y = 14 as well.
This triangle is an isosceles right triangle. We also consider it a 45-45-90 triangle because the three angles are 45, 45, and 90 degrees.
For any 45-45-90 triangle, the hypotenuse is always sqrt(2) times the leg length.
hypotenuse = leg*sqrt(2)
What is 1/2x(4+6x3)-9?
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)
Answer:
56
Step-by-step explanation:
(4+7)²-(4²+7²)=121-65
=56
Answer:
56
Step-by-step explanation:
(4 + 7)² - (4² + 7²) = 11² - (16 + 49) = 121 - 65 = 56
A group of students formed a circle during a game.
The circumference of the circle was about 43.96 ft. ,
and the diameter of the circle was 14 ft.
Which expression best represents the value of π?
Answer and Step-by-step explanation:
C = circumference = 43.96
d = diameter = 14
C = [tex]\pi d[/tex]
Divide both sides by d.
[tex]\frac{C}{d} = \pi[/tex]
[tex]\frac{43.96}{14}[/tex] = [tex]\pi[/tex]
3.14 [tex]= \pi[/tex]
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Is the function increasing or decreasing over the interval (-3,-1)? Explain.
Explanation:
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given interval is (-3, -1).
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
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