7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answers
Answer
6.10
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{149}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]
[tex]\sf \cdot 6.103277808[/tex]
[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
Related Questions
Greenwood Middle School is having a math competition. Four students are called to the stand to answer a question. The question is:
51.32 – 11.98
Answers
Answer: 39.34
Step-by-step explanation:
Write the equality in the given diagram below
Answers
Answer :
[tex]x < 2[/tex]
6 times 10^5 is how many times as as large as 3 times 10^3?
Answers
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answers
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!
As inflation increases, it causes the money you earn today to have __________.
more value in the future
less value in the future
more purchasing power in the future
no purchasing power effect in the future
Answers
Answer:
less valuable
Step-by-step explanation:
it will be reduced when time goes by
Rand will deprecate
(5, -7) and (6,-4)
What is the slope?
Answers
4. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x+3, g(x)=
Answers
Answers:
[tex](f \circ g)(x) = 2x^2-5x\\\\(g \circ f)(x) = 2x^2+7x\\\\[/tex]
The domain is "all real numbers" which you could type in (-infinity, infinity) or [tex](-\infty, \infty)[/tex] when doing interval notation. This applies to both.
=========================================================
Explanation:
See the attached image for the steps of each.
The domain is the set of all real numbers because each result is a polynomial. We don't have to worry about dividing by zero, taking a square root of a negative number etc. There are no restrictions on x. Any real number can replace x to get some real number result for y. This applies to both composite functions.
Look at the image!
iready
Answers
a =80 vertically oposite angle
a+b=180 angle of the same side of transversal are 180 degree
so b=180-80
=100
c=b vertically oposite angle
b=100=c
c= 100
I hope it's helpful for you
Answer:
a=80, b=100, c=100
Step-by-step explanation:
Because A is directly across from 80 degrees, A is also 80 degrees. They are alternate angles, and so they equal the same thing. B is 100, because it is on the same line as 80, and a line equals 180 degrees. C is also 100 degrees, because it is across from B and on the same line as A, which is 80 degrees.
Hope this helps!
Which expression shows the distance on the number line between −14 and −5?
∣∣−5−14∣∣
∣∣−14−(−5)∣∣
∣∣−14−5∣∣
∣∣−14+(−5)∣∣
Answers
Answer:
||−14+(−5)||
Step-by-step explanation:
Which of the following units could be used to measure Area? Select all that apply.
a) m2
b) in
c) cm2
d) sq. ft
e) mm
f) yd3
Answers
All the area measure units should have square above them.
For example:mm²cm²yd²in²m²km²ft²Hence, option A, C, D is correct.
Answer:
a) c) d)
Step-by-step explanation:
Length is a one-dimensional measure, therefore it is measured in single units.
⇒ m
⇒ cm
⇒ ft
The area of a shape is a two-dimensional quantity (e.g. length × width), therefore it is measured in square units.
⇒ m × m = m²
⇒ cm × cm = cm²
⇒ ft × ft = ft²
The volume of a shape is a three-dimensional quantity (e.g. length × width × height), therefore it is measured in cubic units.
⇒ m × m × m = m³
⇒ cm × cm × cm = cm³
⇒ ft × ft × ft = ft³
Therefore,
length = options b) e)area = options a) c) d)volume = option f)A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
Answers
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]
Evaluate
[tex]E = 1.96 * \sqrt{0.002475}[/tex]
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
Read more about confidence intervals at:
https://brainly.com/question/15712887
#SPJ1
Use the properties of limits and the facts given below to find each of the limits given
Answers
Answer:
where are the limit questions?
What is the answer to this question?
Answers
Answer:
[tex]\huge\boxed{\bf\:tan \: Z= \frac{4}{3}}[/tex]
Step-by-step explanation:
We know that, tan θ = opposite side of ∠θ / adjacent side of ∠θ.
Here, we need to find tan Z,
In this triangle for ∠Z,
Opposite side = 28Adjacent side = 21Then,
tan Z
= opposite side / adjacent side
= 28 / 21
= 4 / 3
[tex]\rule{150pt}{2pt}[/tex]
A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads
Answers
Answer:
[tex]5 \times 5 = 25 [/tex]
[tex]25 \times 30 = 750[/tex]
In the diagram below, CFED is a rectangle. If m/CFD = 12x and m/DFE = 6x, find the value of x.
Answers
Answer:
5
Step-by-step explanation:
if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.
so:
18x=90
x=5
11. Find the equation for the circle with center (−2,−3) and passing through (1,5).
Answers
Answer:
(x +2)² + (y+3)² = 73
Use the distance formula to find radius:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]
[tex]\rightarrow \sf \sqrt{73}[/tex]
Eqaution of circle:
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-3))² = (√73)²
(x +2)² + (y+3)² = 73
This pattern follows the rule multiply by 2. what other feature do you observe? 4, 8, 16, 32, 64, 128
group of answer choices
all terms are even because even x even = even.
all terms are odd because even x even = odd.
all terms are even because odd x odd = even.
all terms are even because odd x even = even.
Answers
Answer:A. All terms are even because even x even = even.
Step-by-step explanation:Hope It helps you have a good day.
What is the area of this figure?
3 cm
6 cm
3 cm
2 cm
2 cm
5 cm
8 cm
13 cm
Answers
does someone mind helping me with this problem? Thank you!
Answers
Anyea
Step-by-step explanation:
Answer:
180 inches squared (^2)
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length by the width (15*12)
Don't forget it is squared! Good luck!
(4x+3)(6x-3) = 0
What is the positive solution to the problem?
Answers
Answer:
The positive solution is 1/2
Step-by-step explanation:
(4x+3)(6x-3) = 0
We can use the zero product property to find the zeros
4x+3 =0 6x-3 =0
4x =-3 6x = 3
x = -3/4 x = 3/6
x = -3/4 x = 1/2
The positive solution is 1/2
Can anyone tell me the formula or way to solve this problem
Answers
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
Richard takes a hang gliding lesson. He
lifts off at the top of a hill and glides
downward for the first 5 minutes.
Then he soars at a consistent elevation
for 10 minutes. The last 3 minutes
he glides upward until he lands on a
smaller hill. Sketch a graph of Richard's
gliding lesson over time.
Answers
Answer:
it a nice graph I made
Step-by-step explanation:
yeah just click the image
Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart
Answers
Answer:
the stripe chip design has
the greatest probability of selection
Step-by-step explanation:
p(draw a dot chip) = 1/10
p(draw a star chip) = 2/10
p(draw a heart chip) = 3/10
p(draw a stripe chip) = 4/10
4/10 > 3/10 > 2/10 > 1/10
Therefore , the stripe chip design has
the greatest probability of selection.
hlp!
options:
A. [tex]x\leq -5[/tex]
B. [tex]x\geq -5[/tex]
C.[tex]x\geq 2[/tex]
D.[tex]x=4[/tex]
Answers
Answer:
Option B
x ≥ (-5)
Step-by-step explanation:
Given;-3(x + 4) ≥ x + 8So,
-3(x + 4) ≥ x + 8
-3x – 12 ≥ x + 8
Add both sides 12 we get,
-3x – 12 + 12 ≥ x + 8 + 12
-3x ≥ x + 20
Similarly, subtract x from both sides we get,
-3x – x ≥ x – x + 20
-4x ≥ 20
Then, divide both sides by (-4) we get,
-4x/(-4) ≥ 20/(-4)
x ≥ -5
Thus, The answer is x ≥ (-5).
ok but can u crank 90s
Answers
Give a full description of how you solve it and I'll give the brainiest. Solve both, please.
Answers
#2) let’s start off with the numbers. multiply 10•7•8 to get 560. then we will add all the U powers so that would be 7+9 = 16 making it u^16. lastly we should add all the v powers so it would 3+8+4 = 15 so ur final answer would be 560u^16v^15.
a tomato sauce company currently sells tomato sauce...
Answers
Answer:
you are so good are this so keeping up
Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below.
Class A: 80, 82, 74, 92, 94
Class B: 82, 80, 88, 86, 82
What are the mean and range for each class?
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.
Answers
Answer:
class B because every scores range is withing 6 or less
Answer:
See below ~
Step-by-step explanation:
Class A :
Mean = 80 + 82 + 74 + 92 + 94 / 5Mean = 422/5Mean = 84.4Range = Highest score - Lowest scoreRange = 94 - 74Range = 20
Class B :
Mean = 82 + 80 + 88 + 86 + 82 / 5Mean = 418/2Mean = 83.6Range = Highest - LowestRange = 88 - 80Range = 8
Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.
n the diagram, what is AC?
A.
6
B.
12.33
C.
10
D.
12
Answers
Answer:
since we are not given the value of AC we say that AC =6×10=60
Write the standard form of the equation of the line described
through: (4,0) parallel to y=4
Answers
Answer:
y = 0.
Step-by-step explanation:
The line y = 4 is a horizontal line, parallel to the x-axis.
The point (4,0) is on the axis so the rquired equation is:
y = 0.
