What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
Question 19 options:
1)
(–14, –21)
2)
(14, –21)
3)
(–14, 21)
4)
(14, 21)
Answer:
The center of the circle is:
[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]Thus, option (2) is true.
Step-by-step explanation:
The circle equation is given by
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
here,
r = raduiscenter = (a, b)Given the equation
[tex]\left(x-14\right)^2+\left(y+21\right)^2=64[/tex]
[tex]\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
[tex]\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2[/tex]
comparing with the circle equation
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
Therefore, the center of the circle is:
[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]Thus, option (2) is true.
What is the surface area of the pyramid 6 inches height 8 inches length 8 inches width
Answer:
384
Step-by-step explanation:
Formula:Length x Width x Hight
6x8=48 48x8=384
Have a good day!
Use the number line to graph – 12
3
, – 11
3
, –1.5, and –1.
A number line going from negative 2 to positive 1 in increments of 1. There are 3 equal spaces between each number.
Which number is less than –1.5?
–1
–1.5
Negative 1 and one-third
Negative 1 and two-thirds
Answer is d? -1 2/3
Answer:
its D
Step-by-step explanation:
The number less than –1.5 will be -1 2/3(Negative 1 and two-thirds). Option d is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that, a number line with increments of 1 from negative 2 to positive 1. Each number is separated by three exactly equal spaces.
Negative numerals are located on the number line to the left of zero. The numbers on the right side of 0 on the number line are reflected in the negative numbers (positive numbers). The negative number line is the term used to describe this section of the number line.
The value - 1.6 is less than -1.5 and represent on the left side of the graph.
Thus, the numbers less than –1.5 will be -1 2/3(Negative 1 and two-thirds). Option d is correct.
Learn more about the number line here:
brainly.com/question/13189025
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Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?
Answer:
net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88
2.3 x 10^4 x 6.7 x 10^3 divide by
5 x 10-^8
Answer:
0.3082
Step-by-step explanation:
Find the unit rate in yards per hour. 750 yards in 1/4 hour.
5^2 i want to know what that is.
Answer:
25
Step-by-step explanation:
To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30
6 or 10
16 or 30
30 only
6, 10, or 30
Answer:
6,10,or 30 is your answer
The car travels 440 miles in 8 hours. What is the unit rate?
Answer:
55 miles per hour
Step-by-step explanation:
Hope it helps :)
Answer:
440/8
Step-by-step explanation:
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes calculated.
Answer:
f'(1) = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationCalculus
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = x²
Point (1, f(1))
Step 2: Differentiate
Basic Power Rule: f'(x) = 2 · x²⁻¹Simplify: f'(x) = 2xStep 3: Find Slope
Use the point (1, f(1)) to find the instantaneous slope
Substitute in x: f'(1) = 2(1)Multiply: f'(1) = 2This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)
what is 3 1/3 *2/3?
Answer:2 2/9
Step-by-step explanation:
3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9
Answer:
2.2222222
Step-by-step explanation:
Use a calculator
In a class of 888, there are 333 students who have done their homework. If the teacher chooses 222 students, what is the probability that both of them have done their homework?
Answer:
3/28
Step-by-step explanation:
3/8 * 2/7 = 6/56 = 3/28
Need help with this!!
Answer:
Step-by-step explanation:
i have never done that:(
how long can a go-kart travel on 6 gallon of gas
(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.09 ounces. Find the 92% confidence interval.
Answer:
92% Confidence Interval = [8.515, 8.605]
Step-by-step explanation:
The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval
= Mean ± t score × Standard deviation/√n
Mean = 8.56 ounces
Standard deviation = 0.09 ounces
n = 15
We find the degrees of freedom = n - 1
= 15 - 1 = 14
Using the T score table
T score for 92% confidence interval with degrees of freedom 14
= 1.8875
Hence:
Confidence Interval =
= 8.56 ± 1.8875 × 0.09/√15
= 8.56 ± 0.0454010035
Confidence Interval
8.56 - 0.0454010035
= 8.5145989965
≈ 8.515
8.56 + 0.0454010035
= 8.6054010035
≈ 8.605
92% Confidence Interval = [8.515, 8.605]
Which of the following is a perfect square trinomial?
O A. 25x2 - 30xy +9y2
O B. 25x2 + 16xy - 9y2
O C. 25x2 - 16xy + 9y2
O D. 25x2 + 30 xy - 9y2
What is the answer I can’t find it
Answer:A
Step-by-step explanation:
PLEASE HELP ME !! 100 POINTS
Answer: i cant read that could you type it out
Step-by-step explanation:
Answer:
can't even see the text, man
Step-by-step explanation:
I'm on a test and I need help, the question asks, "What's the slope of the table?"
Answer:
wym..theres no table
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
HELP! i'll mark you brainliest . find y
Answer: Thanks for points by the way what grade are you in ???
Step-by-step explanation:
Janet can make 4/5 of a necklace in 20 minutes at this straight how many necklaces to the nearest 10th of a necklace can Janet make in one hour.
Please help
Leon took a total of 12 quizzes over the course of 2 weeks. How many weeks of school will Leon have to attend this quarter before he will have taken a total of 36 quizzes? Solve using unit rates.
Answer:
6 weeks.
Step-by-step explanation: Because if he answered 12 quizzes in 2 weeks then 12 times 3 equals 36 so then all you have to do is times the weeks by 3.
helpppppp how plssss!!!
Answer:
c
Step-by-step explanation:
cuz reflect over x axis means just adding a negative sign to the outside?
can you please help me with this question and whoever gives me the right answer will be called brainliest
Answer:
! 2 red cards !
Step-by-step explanation:
Sia draws blue cards for each of her 3 turns: 4 • 3= 12
Sia draws red cards and ends up back at 0: 6 • 2 = 12
12 - 12 = 0
Sia drew 2 red cards since 6 • 2 = 12.
Thank you so very much
Answer:
i think the first on means 1/3 is equal to 3
Step-by-step explanation:
second one i think is 2
if i get it rong pls dont be mad
Plzzzzz help right answer gets a brainly!
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]\frac{25}{35}[/tex] (divide numerator and denominator by 5)
[tex]\frac{5}{7}[/tex]
Answer:
5/7
Step-by-step explanation:
Divide the numerator and the denominator by the Greatest Common Factor, which is 5.
PLEASE SOMEONE HELP ME THIS IS DUE IN 4 MINUTES I NEED TO FINISH IT OR I FAIL
Answer:
rounded is about 70%
Step-by-step explanation:
Arrange the numbers in order from least to greatest.
− 3 , 2, -1.5, 2 , 2 10 510
Find the unit rate for number of parts manufactured per hour if 1620 parts are made in 6 hours.
Answer:
270 parts per hour
Step-by-step explanation:
given
we are told that 1620 parts are manufactured in 6 hours.
Required
Unit rate.
The unit rate in this context is defined as the number of parts that can be manufactured in one hour
Step two:
To find the unit rate, we have to divide the total parts manufactured by the total time taken
unit rate= 1620/6
unit rate= 270 parts per hour
write a pseudocode to calculate the volume of a cylinder
Step-by-step explanation:
Equation of cylinder: h*pi*r^2
The equation for a cylinder is base times height where the base is a circle of area calculated by pi*r^2. I hope this helps! :)
Please help! This is due soon!
Hugo drew a right triangle that has a hypotenuse of 25 cm and a leg of 7 cm. What is the length of the other leg?
Answer:
x=24
Step-by-step explanation:
Use Pythagorean Theorem to solve for x.
7^2+x^2=25^2
49+x^2=625
-49 - 49
x^2=576
sqrt sqrt
x=24
IT'S 32 BECAUSE ALL YOU HAFTA DO US ADD.
