Answers
Answer:
(x + 3)² + (y - 4)² = 32
Step-by-step explanation:
Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.
r = √((1 - (-3))² + (8 - 4)²)
r = √(16 + 16)
r = √32
Now, formula for equation of a circle with centre (h, k) is;
(x - h)² + (y - k)² = r²
Our centre is (-3, 4) with r = √32
Thus;
(x - (-3))² + (y - 4)² = (√32)²
(x + 3)² + (y - 4)² = 32
Related Questions
In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Answers
Answer:
L = 10.64°
Step-by-step explanation:
From the given information:
In triangle JKL;
line k = 9.6 cm
line l = 2.7 cm; &
angle J = 43°
we are to find angle L = ???
We can use the sine rule to determine angle L:
i.e
[tex]\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}[/tex]
Using Pythagoras rule to find j
i,e
j² = k² + l²
j² = 9.6²+ 2.7²
j² = 92.16 + 7.29
j² = 99.45
[tex]j = \sqrt{99.45}[/tex]
j = 9.97
∴
[tex]\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}[/tex]
[tex]{9.97 \times Sin (L ) = (2.7 \times Sin \ 43)[/tex]
[tex]= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0[/tex]
please help my teacher wont help
Answers
Answer: Choice B
They traveled 250 miles in 4 hours. Their speed was 62.5 mph.
=============================================================
Explanation:
Start at point X. Draw a horizontal line straight across until you reach the y axis. You should arrive at y = 250. This tells us that they traveled 250 miles.
Go back to point X. Draw a vertical line until you reach the x axis. You should reach x = 4. This indicates 4 hours.
Pairing up the two values together means they traveled 250 miles in 4 hours. Divide the distance over time to get the speed
speed = distance/time = 250/4 = 62.5 miles per hour
--------
Side note: unfortunately your teacher chose the label uppercase X for the point, which may be a bit confusing since it could clash with the lowercase x along the horizontal axis.
Another note: the speed represents the slope of the line
You shot a space capsule into an orbit around the space station.
The total weight of the capsule was 1,330 kilograms. If the devices
on board to regulate speed weighed one fourth as much as the fuel
tank and the power unit weighed one half as much as the fuel tank,
how much did the power unit weigh?
In this word problem, what are you asked to find?
CD
The weight of the power unit
b
The weight of the devices to regulate speed
с
The weight of the capsule
d
The weight of the container
Answers
Hey I need this answered fast!! and if u please could help me I have more questions similar to this one on my page
Answers
Answer:
B and E
Step-by-step explanation:
The zero of a function is whatever point on the function where the y-value is zero. Hope this helped.
A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?
Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2
Answers
Answer:
Answer is b
Step-by-step explanation:
How many solutions does 7 - 4x = 2 + x + 6 - 5x have?
A. One solution
B. Infinitely many solutions
C. Two solutions
D. No solutions
Answers
Answer:
D) No Solution.
Step-by-step explanation:
7-4x=2+x+6-5x
7-4x=8+x-5x
7-4x=8-4x
7-8-4x=-4x
-1-4x=-4x
-1=-4x+4x
-1=0
no solution
Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?
Answers
Answer:
GARDEN = 9 years
TREE = 99 years
Step-by-step explanation:
the following equation can be derived from the question
age of oak tree = 11x
age of garden = x
11x + x = 108
12x = 108
x = 9
oak tree = 11 x 9 = 99
Help please this question is confusing
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Im pretty sure but dont rely on this answer
Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify
Answers
Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
Can anyone help? I’ll give Brainly :)
Answers
Answer:
1.3%
Step-by-step explanation:
Find the annual dividend by taking the quarterly dividend and mulitplying it by 4
.05*4= .2
divide that by the share price
.2/15= .013333333333333333333
which rounds to 1.3%
We often deal with weighted means, in which different data values carry different weights in the calculation of the mean. For example, if the final exam counts for 50% of your final grade and 2 midterms each count for 25%, then you must assign weights of 50% and 25% to the final and midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.
A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.
Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Answers
Answer:
a) The student's overall average for the class is 87.97.
b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
Step-by-step explanation:
Weighed average:
To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.
Grades and weights:
Scored 82.5 on the midterm, worth 30%.
Scored 88.6 on the final exam, worth 30%.
Scored 91.6 on the homework, worth 40%.
a. On a 100-point scale, what is the student's overall average for the class?
Multiplying each grade by it's weight:
[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]
The student's overall average for the class is 87.97.
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Score of x on the final class, and verify that the average could be 93.5 or higher. So
[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]
[tex]A \geq 93.5[/tex]
[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]
[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]
[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]
[tex]x \geq 105.425[/tex]
He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
WILL
GIVE BRAINLIST
ANSWER
MATH
Answers
Answer:
Mean = 4.7
Mode = 5
Median = 5
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (3*4) + (4*5) + (5*7) + (6*2) + (7*2) = 93
Σf = (4+5+7+2+2) = 20
Mean = 93 / 20
= 4.65
= 4.7
Mode = highest occurring = vlaue with highest frequency = 5
Median :
20 / 2 = 10
Value corresponding to the 10th term = 5
A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?
Answers
Answer:
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]
Answer:
1.24 ft
Step-by-step explanation:
the volume of sphere = 4/3π.r³ = 1
=> r³ = 3/(4π)= 3/(12.56) = 0.239
r = ³√0.239
r = 0.62
d = 2×0.62 = 1.24 ft
how many 4 character login names can be created if the first two are digits and the last two are letters and none can repeat?
Answer: login names can be created
Answers
Answer:
58500
Step-by-step explanation:
since we have 10 numeric characters i.e
0,1,2,3,4,5,6,7,8,9
and similarly have 26 alphabetical characters
A - Z
Now we want to make a 4 characters login name with first two characters as digits and last two as letters without repetition
.•. 10 * 9 * 26 * 25=58500
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A (8,6), B(-2,-9); 3 to 2
The coordinates of point P are
Answers
Answer:
[tex]P = (2,-3)[/tex]
Step-by-step explanation:
Given
[tex]m : n = 3 : 2[/tex]
[tex]A = (8,6)[/tex]
[tex]B = (-2,-9)[/tex]
Required
The coordinate of {
This is calculated as:
[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex]P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})[/tex]
[tex]P = (\frac{10}{5},\frac{-15}{5})[/tex]
[tex]P = (2,-3)[/tex]
Find the measure of 0. Round answer to the nearest tenth. Please help!
Answers
Answer:
70.8°
Step-by-step explanation:
From the triangle,
We are given the hypotenus and the angle opposite θ
Using Trigonometry:
Hypotenus and opposite are related by :
Sinθ = opposite / hypotenus
Sinθ = 17 / 18
θ = sin^-1(17/18)
θ = 70.811°
θ = 70.8°
45 POINTS
Click on the measure of the angle.
Answers
Answer:
Ha ha ha ha ha
Yo, I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)
I wanna really, really, really wanna zigazig ah
If you want my future, forget my past
If you wanna get with me, better make it fast
Now don't go wasting my precious time
Get your act together we could be just fine
I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)
I wanna really, really, really wanna zigazig ah
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
Taking is too easy, but that's the way it is
Oh, what do you think about that
Now you know how I feel
Say, you can handle my love, are you for real
(Are you for real)
I won't be hasty, I'll give you a try
If you really bug me then I'll say goodbye
Yo I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)
I wanna really, really, really wanna zigazig ah
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
(You've got to give)
Taking is too easy, but that's the way it is
So, here's a story from A to Z
You wanna get with me, you gotta listen carefully
We got Em in the place who likes it in your face
You got G like MC who likes it on a
Easy V doesn't come for free, she's a real lady
And as for me, ha you'll see
Slam your body down and wind it all around
Slam your body down and wind it all around
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
(You've got to give)
Taking is too easy, but that's the way it is
If you wanna be my lover
You gotta, you gotta, you gotta, you gotta, you gotta
Slam, slam, slam, slam (make it last forever)
Slam your body down and wind it all around
Slam your body down and wind it all around
Ha, ha, ha, ha, ha
Slam your body down and wind it all around
Slam your body down and zigazig ah
If you wanna be my love
Step-by-step explanation:
The 2 figures are similar. The figure on the right is a dilation of the figure on the
left. The figures represent pastures that are being fenced to hold livestock. The
sides labeled with numerical values have already been fenced. (Round to the
nearest tenth of a yard.)
Based on previous knowledge about similar figures, how much more fencing is
needed to complete the fencing of both pastures?
Record your answer and fill in the bubbles on your answer document. Be sure to
use the correct place value.
Answers
The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?
Answers
Answer: A
Step-by-step explanation:
I did it already
Answer:
A
Step-by-step explanation:
A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out. Which of the following is the appropriate null hypothesis to test if there is a relationship between the direction of the ball and if it resulted in a hit or an out?
(A) H_0H0: The proportion of balls hit to the left, right, and center is the same.
(B) H_0H0: The proportion of balls that result in hits and outs is the same.
(C) H_0H0: The distribution of the direction of the ball is the same for the population of hits and the population of outs.
(D) H_0H0: The direction of the ball and whether it results in a hit or an out are independent.
(E) H_0H0: There is an association between the direction of the ball and whether it results in a hit or an out.
Answers
Answer:
(D) H_0H0: The direction of the ball and whether it results in a hit or an out are independent.
Step-by-step explanation:
Given that
There is 300 balls random sample is taken
We need to find out the appropriate null hypothesis that lies between the ball direction and lead to a hit or an out
So
Based on the given options, the option d is correct as the ball direction and its results either be hit or on out would represent that they are independent
Therefore the option d is correct
A bowl holds the 12 pieces of fruit shown below.
If Jasmine correctly writes the fraction of fruit that are apples, which of the following would be the numerator of the fraction?
A. 7 B. 7/12 C. 5 D. 12
Answers
Answer: I’m pretty sure it’s A but I could be wrong
Step-by-step explanation:
Numerator is the top and there are 12 fruit and 7 apple so the top number should be 7 and the bottom should be 12
Someone said the answer is -5 but can you explain how?
Answers
Answer:
-5
Step-by-step explanation:
add 5 and 10 makes 14
minus 5 from 15
multiply 10 and 4 and add to 15 to get 40
subtract 45 from 40 and get -5
Tony Soprano has a collection of five-dollar and one-dollar bilis in his shirt pocket. He has 100 bills in all worth a total of $420. Which of the following systems of equations could be used to completely determine how many of each type of bill he has?
A. x+y=100 5x + y = 420
B. 5x + y = 420 100x + 420y = 5
C. x+y=100 x+y = 420 5x + y = 100
Answers
Answer:
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
Step-by-step explanation:
From the question we are told that:
Five-dollar bill x
One-dollar bill y
Total number of bills [tex]N=100[/tex]
Worth of bills [tex]w=420[/tex]
Generally the equation for Total number of bills is mathematically given by
Since it is made up of five and one dollar bills
Therefore
[tex]x+y=100[/tex]
Hence the Equation for Total worth of bills is
[tex]5x+y=420[/tex]
The System of equations used is
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
Find the missing side of the triangle. The two triangles are similar.
Answers
Answer:
84 degrees
40 + 56 = 96
180 - 96 = 84
WILL
GIVE BRAINLIST ANSWER-
Answers
Explanation
I will explain if you want me to
plz help
Which items are characteristic of a credible website? Select all that apply.
The website was updated last week.
There is a c located somewhere on the web page.
The website was updated two years ago.
The website ends in gov
There is a a located somewhere on the web page.
The purpose of the web page is to sell law services.
The URL ends in com
The purpose of the web page is to educate and not make money.
Answers
Answer:
The website ends in gov, the purpose of the webpage is to educate and not make money
Step-by-step explanation:
Hi kiri ☺️
Credible websites are those which are not biased and supposed to help the people without the intention of making money.
What are the metaphors of a credible website?Website which is giving information with a listed author is one symbol of a credible site.
Thus option A,C,G will be true because they clearly shows that it is listed website with a purpose of education as well as have a proper management.
Other option are not much reliable as they shows whether the site is biased or not with proper management and ethics.
Learn more about credible websites here.
brainly.com/question/6750919
#SPJ7
In a lab experiment, 300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 18 hours. How many bacteria would there be after 3 hours, to the nearest whole number?
Answers
Answer:
337
Step-by-step explanation:
300(2)^(3/18)
= 300(2)^1/6
= 337.
Find the volume of the right triangular prism shown:
Answers
Answer:
960cm³
Step-by-step explanation:
Find the base of the triangle (use phytagoras theorem)
c²= a²+b²
20²= 16²+b²
400=256+b²
b²=400-256
b²= 144
b=
[tex] \sqrt{144} [/tex]
base= 12
Volume: (1/2×b×h)×l
= (1/2×12×16)×10
=(6×16)×10
=96×10
=960cm³
What is the surface area of the solid shown below?
Answers
Answer:
[tex]\text{C. }156\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]
66 cm
Is this radius or diameter?
1
2
Diameter
Radius
Zoom in
If the line is going straight across the circle, is it the radius or diameter?