Step-by-step explanation:
The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,
[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]
Therefore the equation of circle is:
[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
What is the solution to the inequality x2 + 5x ≥ 6?
Answer:
x ≤ −6 or x ≥ 1
{x+y=-4
{y=2x-1
Help please. Thanks in advance.
Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?
Answer:
7.5 bag
Step-by-step explanation:
Carton #1: 19 berries
Carton #2: 26 berries
^^add them up together to get hte total amount of berries! 19 + 26 = 45
She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5
When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.
A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each.
How many of each kind of eggs has she bought?
Answer:
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
Step-by-step explanation:
Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.
x + y = 50
0.12x + 0.14y = 6.6
Solve by elimination by multiplying the top equation by -0.12:
-0.12x - 0.12y = -6
0.12x + 0.14y = 6.6
Add these together and solve for y:
0.02y = 0.6
y = 30
So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:
x + y = 50
x + 30 = 50
x = 20
So, she bought 20 eggs that were 12 cents.
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
HELP ME FOR 30 POINTS!!
Determine the equation of the circle graphed below.
Answer:
(x-7)²+y²=9
Step-by-step explanation:
There is a formula used for the equation of a circle:
(x-h)²+(y-k)² = r²
(h, k) is the center of the circle
r is the radius
In this case, (h, k) is (7, 0)
Plug in the values for h and k
∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
half of a dome is called what?
Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
Please someone help me
Answer:
A
Step-by-step explanation:
Because not drawing the circle graph of the burger could lead you to draw the wrong conclusion
Answer:
A
Step-by-step explanation:
If your not drawing the circle graph of the burger could lead you to draw the wrong conclusioncheck whether 7+3x is a factor of 3x^3+7x
Answer:
no
Step-by-step explanation:
refer to picture for solution
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A gym charges a one-time fee of $60 to join and membership dues of $25 per month
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym membership are related. Drag numbers to
complete the table. Numbers may be used once or not at all.
865
200
410
205
135
75
505
260
ות
3
8
14
C
Part B.
Which equation represents the total cost based on the number of months of gym membership?
O А.
C = 25m
B В.
C = 60 + 25m
Review progress
Question 5
of 22
Back
Next →
Answer:
Step-by-step explanation:
C=25m plus 75
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]
You bought your car at the cost of $3000.If the value depreciates each year at a rate of 5%.By how much did the value of the bicycle devalued
Answer:
$150
Step-by-step explanation:
Given
Price of car = $3000
Percent depreciation = 5%
Depreciation amount = 5% of $3000
Depreciation amount = 0.05 * 3000
Depreciation amount = $150
New value for the car = 3000 - 150
New value for the car = $2850
The value of the car devalued by $150
The number of children studying in different schools of kanpur is 6,45,55,587 . If the number of boys is 4,55,25,400, find the number of girls.
Answer:
19030187 girls
Step-by-step explanation:
Total number of children = 6,45,55,587
number of boys =4,55,25,400
Number of girls= (Total number of children ) - (number of boys )
= (6,45,55,587)-(4,55,25,400)
= 19030187 girls
The number of girls. Is 19030187
help please asap ASAP ASAP ASAP PLEADEEEEEEEEE
whats the value of x?
Answer:
6.92820323=x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x /8
8 sin 60 = x
6.92820323=x
Write an equation for a line that is perpendicular to the line 6y – 9x = 12
Answer:
y = -2/3x + 4
Step-by-step explanation:
first we take the original equation and convert it to y=mx+b (a form we know how to graph)
that gives us y = 3/2x + 2
(Here's my work for that):
6y - 9x = 12; add 9x on both sides
6y = 9x + 12; divide 6 on both sides
y = 9/6x + 12/6
y = 3/2x + 2
next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)
then we just uh graph that slope and try to find the y intercept. i did it already and i got 4
Answer:
Step-by-step explanation:
You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.
Add 9x to both sides.
6y - 9x + 9x = 9x + 12
6y = 9x + 12 Divide by 6
6y/6 = 9x/6 + 12/6
y = 1.5x + 2
Now the perpendicular line must have a slope that is found by using
m1 * m2 = - 1
m1 = 1.5 From the equation above.
1.5 * m2 = - 1 Divide by 1.5
m2 = -1/1.5
m2 = - 2/3
So far what you have is
y = -2/3 x + b You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do
The complete equation becomes
y = -2/3 x + 1
The graph is enclosed.
Determine f’s end behavior
f(x)= -5x^6+8x^5-1/ x^2 -9
Answer:
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Step-by-step explanation:
The given function is;
f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)
Using long division to divide this as attached, we have;
f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)
Thus, the leading coefficient here is -5 and the polynomial degree is 4.
Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Brainliest question!
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4 will replace?
Step-by-step explanation:
as 3-2=1
6-4=2
4-1=3
8-2=6
again
3-2=1
so
6-x=2
6-2=x
4
plz mark it as brainliest answer
Question # 2: A circle has a radius of 12 feet. What is the area of the circle? Use 3.14 for Pi.
Answer:
452.16 ft²
Step-by-step explanation:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi and 12 as the radius, then solve:
A = (3.14)(12)²
A = (3.14)(144)
A = 452.16
So, the area of the circle is 452.16 ft²
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16
Answer:
Step-by-step explanation:
If you move down 1 unit, you simply subtract 9 units from the given equation.
g(x) = 4x^2 - 16 - 1
g(x) = 4x^2 - 17
Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.
The wrong way to do it is in answer A.
B is the correct answer
h(x) = 4(x - 9)^2 - 17
Using the net below, find the surface area
of the pyramid.
cm
4cm
4 cm
Surface Area
[?] cm2
Answer:
56 cm^2
Step-by-step explanation:
Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.
Area of square base (side^2)
4^2 = 16 cm^2
Area of ONE triangular face (1/2 x b x h):
1/2 x 4 x 5 = 10 cm^2
Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2
ADD all the areas of triangles and square:
16 cm^2 + 40 cm^2 = 56 cm^2
HOPE THIS HELPS
Have a nice day!
pls answer. im not smart
Step-by-step explanation:
A.
20-4-681041214-2B.
68-20-4212881412Please help me. I feel really confused and I have no clue on what to do…
Answer:
i cant understand your questions. can you reply me? i will have better answer
simplify 4 by 5 + 2 in bracket 3 minus 2 by 3 in bracket
Answer and Step-by-step explanation:
(4 × 5 + 2)(3 - (2 × 3))
I think this is it but I'm not sure.
22 × -3 = -66 is I think the answer.
#teamtrees #PAW (Plant And Water)
Answer:
98/15
Step-by-step explanation:
[tex](\frac{4}{5} +2)[/tex][tex](3-\frac{2}{3} )[/tex]
=(4 + 5*2)/5 (3*3 -2)/3
=(4+10)/5 (9-2)/3
=(14/5 )(7/3)
if there is no any sign between the two fraction inside bracket then it means to multipli.
=14/5 * 7/3
=14*7/5*3
=98/15
please help. i have no clue how to do volume of spheres
Step-by-step explanation:
the answer is a
4/3πr^3
4/3*22/7*5^3
