The equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
How to get the equation for the circle?The general equation for a circle of radius R and center (a, b) is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:
[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]
So the equation of the circle is:
[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ1
What is the perimeter of ΔWXY?
11.57 cm
12.22 cm
12.46 cm
14.50 cm
The perimeter of the triangle ΔWXY is P = 14.50 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔXYZ
Now , the measure of sides of the inscribed triangle ΔQRS is
QR = 2.93 cm
RS = 2.04 cm
QS = 2.28 cm
where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ
So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS
And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )
On simplifying , we get
P = 2 ( 7.25 )
P = 14.50 cm
Hence , the perimeter is P = 14.50 cm
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ7
The complete question is attached below :
What is the perimeter of ΔWXY?
a) 11.57 cm
b) 12.22 cm
c) 12.46 cm
d) 14.50 cm
somebody please help me?
Answer:
Step-by-step explanation:
Comment
There are 9 marbles all together.
2 are green4 are red3 are blueThe important fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.
Solution
First marble: Blue = 3/9 = 1/3
Second marble: Green 2/8 = 1/4
The probability of that happening is
P(blue,Green) = 1/3 * 1/4 = 1/12
Answer P(blue, green) = 1/12
Which ordered pair is a solution of y=2x+5
(-2,1)
(-1,4)
(1,6)
(3,10)
Mr. Edwards surveyed a total of 80 students in his first three classes in order to determine the numbers of students that have pets. Out of the 30 students in his 1st period class, 12 have no pets. Eighteen of the 27 students in his 2nd period class do have pets. Fourteen of the students in his 3rd period class do have pets. Construct a two-way table summarizing the data. Write the answers as whole numbers.
Answer:
the numbers of students that have pets 44
Step-by-step explanation:
please help me answer this question
Answer:
The answer is21
Multiply.
(−8)⋅(−15)⋅(4)
Enter your answer in the box.
Answer:
la respuesta es 480
Step-by-step explanation:
(-8)(-15)=8*15=120
120*(4)
480
(-8)*(-15)*(4)=480
Step-by-step explanation:
(-8)*(-15)*(4)=480
HELP!!! Simplify the expression.
3√25t²
Answer:
15t
Step-by-step explanation:
if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t
Hope this helps! ;-)
treatment definition
Answer: Heyaa!
If you mean medicine treatment the definition is...
The management and care of a patient to combat disease or disorder.If you mean just basic treatment the definition is...
The manner in which someone behaves toward or deals with someone or something.Hopefully this helps you:
- Matthew
Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room if they work together? Round to the nearest tenth.
Answer:
3.1 hrs painting together
Step-by-step explanation:
Lucia rate = 1 room/ 5 hr
Marie rate = 1 room/8hr
now combine the rates
1 room / ( 1/5 + 1/8) = 3.077 hrs
Mr. reeves planted 5 beans and 12 tomato plants in his garden. What is the ratio of bean plants to tomato plants ?
Answer:
5/12 = 0.416666.... also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.
Factor completely 16x8 − 1.
Answer:
Step-by-step explanation:
(4x^4 - 1)(4x^4 + 1)
(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)
A variable that explains the relationship between an IV and a DV is called a(n) __________, whereas a variable that changes the relationship between an IV and a DV is called a(n) __________.
Mediator variable explains the relationship between IV and DV.
Moderator variable that changes the relationship between an IV and a DV.
What is a Mediator Variable and a Moderator Variable?A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.
For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.
In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.
Learn more about the mediator and moderator variable on:
https://brainly.com/question/18511432
#SPJ1
Consider the following geometric sequence 2,6,18,54
Answer:
Multiply the number by 3 to get the next number.
Step-by-step explanation:
conjunction and disconjuction
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.
Last school year, trent kept track of the amount of time he spent on homework each night. this box plot shows the results. time spent on homework (min.) 20 40 60 80 100 120 what percent of the time did trent spend at least 80 minutes on homework?
The percentage of time spend at least 80 minutes on homework will be 66.66%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The time he spent on homework each night. this box plot shows the results.
The time spent on homework (min.) 20 40 60 80 100 120.
The percentage will be calculated as:-
Maximum time spent = 120 minutes
The percentage for 80 minutes of homework will be:-
= 120 / 80
= 0.66=66 = 66.66%
Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ1
Answer: 25%
Step-by-step explanation:
Mona's bank charges a $10 fee per month plus a $0.12 fee per check. The formula below gives f, the total fee in dollars for a month in which Mona writes n checks.
f=10+0.12n
How many checks did Mona write during a month in which her total fee was $12.52?
Answer: Mona wrote 21 checks during a month where her total fee was $12.52
Step-by-step explanation:
f = 10 + 0.12n
12.52 = 10 + 0.12n
[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]
n = 21
Mona wrote 21 checks during a month where her total fee was $12.52
What is the sum of the angles in the image?
50°
66°
86°
76°
Answer: Choice D) 76
Explanation:
"Sum" means we add the numbers
63+13 = 76
Answer:
D
Step-by-step explanation:
63+13= 76 because sum is add :)
Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?
(-1, 4), (2, 5), (0, 2)
(-2, 3), (1, 4), (-1, 1)
(1, 1), (2, 4), (2, -1)
(3, 2), (12, 4), (-12, 2)
Answer:
A.
Step-by-step explanation:
I believe it is A. because there are the numbers that equal all together to get that domain.
Find the area of the shaded region.
Round your answer to the nearest tenth. 120 degrees 6cm
If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.
The area of the shaded region will be
Shaded area = area of semicircle - area of isosceles triangle
Then the area of the semicircle will be
Semicircle area = π 6² / 2
Semicircle area = π36/2
Semicircle area = 56.55 square cm.
The area of the isosceles triangle will be
Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°
Isosceles triangle area = 6 × 6 × 0.5
Isosceles triangle area = 18 square cm
Then the area of the shaded region will be
Shaded area = 56.55 - 18
Shaded area = 38.55 square cm
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
Sort each type of expense into the category where it fits best.
clothing expenses
fixed expenses
variable expenses
mortgage expenses
rent
food expenses
loan payments
The categories that the expenses best fit into are:
fixed expenses :
mortgage expensesrentloan paymentsvariable expenses:
clothing expensesfood expensesWhat are fixed and variable expenses?Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.
To learn more about fixed cost, please check: https://brainly.com/question/27127934
#SPJ1
Consider the system of equations.
h(x) = 4x-2
j(x)= - 2x + 4
What does the point (1,2) represent in the system of equations?
A.
the minimum value
B.
the maximum value
C.
the point when h(x) = j(x)
D.
the domain and the range
Solve for the variable:
√5-x= √6-x
Answer:
There are no solutions. this equation seems wrong
Step-by-step explanation:
WILL GIVE 100 POINTS TO WHO ANSWERS THESE!!! Questions in Pictures.
Polynomials and Factoring
Assuming that you want the product of the two factors given in each problem:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
Let's solve:
Question 9:[tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]
Question 12[tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]
Question 15[tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]
Question 18[tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]
Question 21:[tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]
Question 24:[tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]
Hope that helps!
can someone help me with this
For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Multiplicative inverse of a matrixFor two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.
Multiply the row of the first matrix with the column of the second to have:
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
Learn more on identity matrix here: https://brainly.com/question/2361951
#SPJ1
Two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. the second runner has $50 in savings and will save $60 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 112 – 25m 45 = 50 – 60m 112 25 45m = 50m 60 112 25 – 45m = –50m 60 112 25m 45 = 50 60m
The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ4
Find the value of x. Enter only your numerical value for x
Answer:
x = 3
Step-by-step explanation:
Equating the secants :
10 (10 + 5x + 2) = 9 (9 + 7x)50x + 120 = 81 + 63x63x - 50x = 120 - 8113x = 39x = 3Answer:
3
Step-by-step explanation:
Theorem:
If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.
In this case:
10 × (10 + 5x + 2) = 9 × (9 + 7x)
10(5x + 12) = 9(7x + 9)
50x + 120 = 63x + 81
-13x = -39
x = 3
find the probability of a freshman being called on in class if there are 12 sophomores, 10 juniors, 14 seniors, and 8 freshmen.
Answer:
18%
Step-by-step explanation:
8/44
Answer:
18% or 8/44
Step-by-step explanation:
add 12+10+14+8=44 then do 8/44
help fast i need this before 8
[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]
Hello student!
We are given two angles that are right next to each other and are formed off of a 180 degree angle. These two angles are known as supplementary angles which means that the two angles add up to 180 degrees. Using that information we can create an equation to help us find x.
[tex]Angle_1 + Angle_2 = 180[/tex]
[tex](5x - 18) + (4x + 45) = 180[/tex]
We now have a functioning equation which we can use to determine x. The first step that we have is to combine like terms which means to add together numbers which the same variables. In this case 5x and 4x would add together and -18 and 45 would also add together.
[tex](5x - 18) + (4x + 45) = 180[/tex]
[tex](5x + 4x) + (-18 + 45) = 180[/tex]
[tex]9x + 27 = 180[/tex]
Now we are down to the final steps which is just some algebra. The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.
[tex]9x + 27 - 27= 180- 27[/tex]
[tex]9x = 153[/tex]
The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.
[tex]\frac{9x}{9} = \frac{153}{9}[/tex]
[tex]x=17[/tex]
Therefore, our final answer is that x is equal to 17.
The bases of Triangle A and Triangle B are equal. The ratio of the height of
Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?
Answer:
A = 120 cm²
Step-by-step explanation:
The 4 part of the ratio relates to the height of triangle A , then
16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then
5 parts = 5 × 4 cm = 20 cm
The area (A) of triangle B is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 12 and h = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²
A line passes through the point , (−3, -4) and has a slope of 3. Write an equation in slope-intercept form for this line.
How do I solve this?
Answer:
y=3x+5
Step-by-step explanation:
Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!
if this makes no sense tell me!