The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.
What is the radius of a circle?explanation;
taking from origin,
let 5 units equat to x - axixs
and y = 12 units
so using pythagoras theorm radius = square root of (12)² + (5)²
= [tex]\sqrt{169}[/tex]
=13 answer.
The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.
Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2
A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.
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Sequence 13, 39, 65, 91,
Find the special product (5s-3)^(2)
A. 10s2 - 9
B. 25s2 -30s - 9
C. 25s2 - 9
D. 25s - 9 30x + 9
Why are black people always watched so closely at a liquor store?
A subway ride for a student costs $1.25. A monthly pass costs $35.Write an inequality that represents the number of times, x , you must ride the subway for the monthly pass to be a better deal.
Answer:
1.25x>35
Step-by-step explanation:
If x is the number of times you must ride the subway and the monthly pass is $35, we must determine the expression where the cost per ride is greater than $35. Therefore:
1.25x>35
We can solve x to determine the number of rides you must ride for the monthly pass to be a better deal.
x>35/1.25
x>28
The student must take more than 28 rides for the mothly pass to be a better deal.
The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer
The domain of the given function f(x)= -6x+11 for the given range is
{2,4,6,8}
Given :
The function f(x)= -6x+11
range given by {-37,-25,-13,-1)
Range is the f(x) values . Domain are the x values .
To find out domain , we substitute the values of f(x) that is range and solve for x
First we substitute -37 for f(x) in the given function and solve for x
[tex]f(x)= -6x+11 \\x=-37\\-37=-6x+11\\-37-11=-6x\\-48=-6x\\x=8[/tex]
Now substitute -25 for f(x)
[tex]x=-25\\-25=-6x+11\\-25-11=-6x\\-36=-6x\\x=6\\\\\\x=-13\\-13=-6x+11\\-13-11=-6x\\-24=-6x\\x=4\\\\\\x=-1\\-1=-6x+11\\-1-11=-6x\\-12=-6x\\x=2[/tex]
x values are the domain
Domain is {2,4,6,8}
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What is the measure of ∠ABC?
Enter your answer in the box.
The measure of the angle ∠ABC will be 95 degrees.
What is a quadrilateral?A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. The given shape is like a parallelogram in which two sides are equal and at the same angles.
Given that angle A in the quadrilateral is 85 degrees. The value of the angle B will be calculated as:-
∠A + ∠B +∠C + ∠D = 360
85 + ∠B + 85 + ∠B = 360 ∠B = ∠D
170 + 2∠B = 360
2∠B = 360 - 170
2∠B = 190
∠B = 190 / 2
∠B = 95
Therefore, the measure of the angle ∠ABC will be 95 degrees.
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Which statements describe acceleration? Check all that apply.
Negative acceleration occurs when an object slows down in the positive direction.
Negative acceleration occurs when an object slows down in the negative direction.
Negative acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object speeds up in the positive direction.
Positive acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object slows down in the negative direction.
Acceleration determines whether an object speeds up or slows down, which can be positive or negative based on the direction of motion and the chosen coordinate system. Negative acceleration occurs when an object slows down while moving in the positive direction or speeds up while moving in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction or slows down in the negative direction.
Explanation:Acceleration is the rate of change in velocity, and it can be characterized as positive or negative depending on its direction relative to a chosen coordinate system. Understanding acceleration involves recognizing how it affects an object's speed in relation to its direction of motion. Let's clarify which statements describe acceleration correctly.
Negative acceleration occurs when an object speeds up in the negative direction or when an object slows down in the positive direction.Positive acceleration occurs when an object speeds up in the positive direction.It is important to distinguish between speeding up, slowing down, and the sign of acceleration. For example, if we assume rightward motion is positive:
An object moving to the right (positive direction) and slowing down has negative acceleration.An object moving to the left (negative direction) and speeding up also has negative acceleration.Contrarily, an object moving to the left and slowing down has positive acceleration.Summarizing these principles:
Negative acceleration occurs when an object slows down in the positive direction.Negative acceleration occurs when an object speeds up in the negative direction.Positive acceleration occurs when an object speeds up in the positive direction.Additionally, positive acceleration occurs when an object slows down in the negative direction.This understanding can help distinguish between deceleration, which always indicates slowing down, and negative acceleration, which may increase speed if the velocity is also negative.
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The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?
1 lb / 0.45 = 2.22
so approximately 2.22 kilograms per pound
divide price per pound by kilometers per pound
1.44 / 2.22 = 0.648
round to 0.65, so it costs $0.65 per kilogram
Answer:
1 lb / 0.45 = 2.22
so approximately 2.22 kilograms per pound
divide price per pound by kilometers per pound
1.44 / 2.22 = 0.648
round to 0.65, so it costs $0.65 per kilogram
Step-by-step explanation:
got it right on the quiz
Deshawn multiplies 236 by 9. Which are the three partial products he could add to find the final product?
WILL MARK BRAINLIEST ANSWER
2x^2+20x=-38
show work
In the diagram below, ∠Q is bisected.
Find the perimeter of ΔPQS.
TDC, Inc's . net profits were $-2000 each month last year . What was TDC's net profits for the year ?
The TDC's net profits for the year were -$24,000 if TDC, Inc's. net profits were $-2000 each month last year option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
TDC, Inc.'s net profits were $-2000 each month last year.
Let x be the net profit for the year
As we know there are 12 months in 1 year.
So the net profit:
x = $-2000×12
x = -$24,000
Thus, the TDC's net profits for the year were -$24,000 if TDC, Inc. net profits were $-2000 each month last year option (A) is correct.
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The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House noticed that with every one-dollar decrease in the cost of each ticket, the number of tickets sold increased by 200 tickets. Write an equation that could be used to determine the number of one-dollar decreases, x, that would yield a revenue of $55,000.
To determine the number of one-dollar decreases that would yield a revenue of $55,000, set up the equation (1,700 + 200y) * (25 - x) = 55,000 and solve for x.
Explanation:To determine the number of one-dollar decreases, x, that would yield a revenue of $55,000, we can set up an equation based on the given information.
Let y be the number of one-dollar decreases and (1,700 + 200y) be the number of tickets sold. The revenue can be calculated by multiplying the number of tickets sold by the price of each ticket. So in this case, the equation can be written as:
(1,700 + 200y) * (25 - x) = 55,000
Now we can solve this equation to find the value of x.
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Y= f(x) 16x find f(x) when x= 1/2
The value of f(x) when x = 1/2 is 8.
Explanation:To find the value of f(x) when x = 1/2, we need to substitute x = 1/2 into the equation y = f(x) = 16x.
Substituting x = 1/2, we get y = f(1/2) = 16(1/2) = 8.
Therefore, f(1/2) = 8.
What is f(–3) if f(x) = |2x – 1| – 5?
What number can you add to √7 to get a rational number?
−7√
7√
7
0
which function represents a vertical stretch of an exponential function
Isabella competed in a triathlon. She completed the swimming event in 12.9 minutes, the biking event in 13.05 minutes, and the running event in 23.125 minutes. What was Isabella’s total time in the triathlon?
Answer:
49.075 minutes
Step-by-step explanation:
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how can you use a number to explain what an integer and rational number are??
The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0. To check whether a number is odd, see whether it's one more than some even number: 7 is odd since it's one more than 6, which is even.
Another way to say this is that zero is even since it can be written in the form 2*n, where n is an integer. Odd numbers can be written in the form 2*n + 1. Again, this lets us talk about whether negative numbers are even and odd: -9 is odd since it's one more than -10,which is even.
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. a. 3d + $13.00 – $6.00 = $13.20; $2.07 b. 4d + $13.00 – $6.00 = $13.20; $1.55 c. 4d – $13.00 + $6.00 = $13.20; $6.73 d. 4d + $13.00 – $6.00 = $13.20; $1.60
4d +13.00 -6.00 = 13.20
4d = 7.00 = 13.20
4d = 6.20
d - 6.20/4 =1.55
answer is B
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what is the equation of this graphed line (in slope intercept form)
thank you!
slope =
7- - 2 =9
8-0 = 8
slope = -9/8
y intercept = 7
equation: y=-9/8x+7
Solve 2a − 5d = 30 for d
Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
Final answer:
The area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, when calculated using the formula for area ½ bc sin A, is approximately 84.2 cm² when rounded to the nearest tenth.
Explanation:
To find the area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, we will use the formula for the area of a triangle when two sides and the included angle are known:
Area = ½ bc sin A
First, we need to find the sine of angle A, which is sin(120°). Using a calculator, we find that sin(120°) ≈ 0.866. Now, we can plug in the values into the area formula:
Area = ½ × 13 cm × 15 cm × sin(120°)
Area = ½ × 13 cm × 15 cm × 0.866
Area ≈ ½ × 13 cm × 15 cm × 0.866 ≈ 84.225 cm²
Rounding to the nearest tenth, the area is approximately 84.2 cm².
If you need how many days between two dates what function should be used
To calculate the number of days between two dates, subtract the start date from the end date and add 1.
Explanation:To find the number of days between two dates, you can use the formula:
Number of days = (End date) - (Start date) + 1
For example, if the start date is July 10, 2022, and the end date is July 15, 2022, the number of days between them would be:
Number of days = (15) - (10) + 1 = 6
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Evaluate the numerical expression. 4.2 − 3.5 ÷ 0.7 + 2.4 A) −3.2 B) 1.6 C) 11.6 D) 3.4
4.2 -3.5/0.7+2.4
order of operations, do division first
-3.5/0.7 = -5
now you have:
4.2-5 +2.4
now just add/subtract from left to right
4.2-5 = -0.8 + 2.4 = 1.6
Answer is B
A census is taken every 10 years to determine to determine the apportionment of
The US Constitution requires that there be a census every ten years in order to apportion the seats in the House of Representatives among the states. Census information is also used by federal, state, and local governments to assess needs and allocate funding, by academics to study the changing population, by individuals to trace their genealogy, and for many other purposes.
if a = 0.6(the 6 repeating) and b= 0.75, then a·b= (blank) and a/b=(blank)
The quotient of a number and 4, minus 1, equals 5/4. find the number
Final answer:
The equation (x / 4) - 1 = 5/4 is solved by isolating x and simplifying, which reveals that the number sought is 9.
Explanation:
To solve the equation where the quotient of a number and 4, minus 1, equals 5/4, we can set up the following algebraic expression:
Let x = the number we want to find.
Now, we translate the problem into an equation:
(x / 4) - 1 = 5/4
To find the value of x, follow these steps:
Add 1 to both sides of the equation to get the fraction by itself:
(x / 4) - 1 + 1 = 5/4 + 1
Simplify both sides:
(x / 4) = 5/4 + 4/4
Add the fractions on the right side:
(x / 4) = 9/4
Multiply both sides of the equation by 4 to solve for x:
4 * (x / 4) = 4 * (9/4)
Simplify both sides:
x = 9
Therefore, the number we are looking for is 9.
If h(x)= 5 for the function h(x)= 2x+1, what is the value of x?
My question is 8n-(6n+7)=5