Answer:
The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
In which r is the radius.
Center (-1,0)
This means that [tex]x_c = -1, y_c = 0[/tex]. So
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]
[tex](x + 1)^2 + y^2 = r^2[/tex]
Finding the radius:
Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:
[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]
So, the equation of the circle is:
[tex](x + 1)^2 + y^2 = 5^2[/tex]
[tex](x + 1)^2 + y^2 = 25[/tex]
Was Perry’s hypothesis correct? Explain
Answer:
yes he was correct Perry's hypothesis was correct
There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?
Which of these is part of the solution for x > -5?
A
-15
B
-6
C
-5
D
5
Answer:
d
Step-by-step explanation:
because its reverse for negative the lower the better or in this case 5 because its on the other side of 0
Answer:
D. 5
Step-by-step explanation:
I need help plz ❤️️️
Answer:
x= 273
Step-by-step explanation:
Answer:
273
Step-by-step explanation:
3549/13=23
(Hope this helps u and u get it correct!)
-AestheticSnowy
HELP HELP HELP
5TH GRADE MATH
ILL MARK BRAINLIEST
Answer:
G
Step-by-step explanation:
Hope this helps
which is greater 1/4 or 3/4 ?
Answer:
3/4
Step-by-step explanation:
We have two fractions, 1/4 and 3/4. Lucky they have the same denominator :
Which is the number under the line, which means their capacity is the same amount. Now we just have to see the greater numerator (the number above the line).
So since 3 is greater than 1
Therefore 3/4 is the answer
Answer:
You answer would be 3/4
Step-by-step explanation:
3/4 is larger than 1/4.
Help me quick I need a good grade
A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!
Abby was decorating her room. She arranged 56 picture tiles on a wall in the shape of a rectangle. How many rows of tiles could she have on the wall?
Answer:
14
Step-by-step explanation:
A rectangle has four sides so all you have to do is 56÷4
Answer:
14
Step-by-step explanation:
I was Slightly confused But with the given information
Divide 56 and 4...
What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6
A teacher wants to split 5 erasers between 2 students equally.
How many erasers will each student get?
Answer:
2.5
Step-by-step explanation
2 divided by five is 2.5
1. Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 450 anytime minutes and charges $.45 per minute for additional minutes. a. x represents __________________ (2 points) b. f(x) represents ___________________ (2 points) c. Write out your piecewise function, including the domain.
Answer:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Step-by-step explanation:
Given
Charges: $39.99 for first 450 minutes
Charges: $0.45 for additional minutes
(a): What is x
x represents the total minutes
(b): What is f(x)
f(x) represents the total monthly cellular charges
(c): The piecewise function
For the first 450 minutes, the function is:
[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]
For additional minutes.
In (a), the total minutes is x.
So, we have:
Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)
[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]
[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]
Open bracket
[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]
[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]
Collect Like Terms
[tex]f(x) = 0.45x+39.99 - 202.5[/tex]
[tex]f(x) = 0.45x-162.51[/tex]
The range of the above function is: x > 450.
So, the piecewise function is:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Write 0.076943 to 3 S.f
Answer:
0.0769
Step-by-step explanation:
A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?
Answer:
90x3
Step-by-step explanation:
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6*5*4*3*2*1.) What value of n satisfies the following equation?
5! X 9! = 12! x N
Answer:
The value of N that satisfies the equation is [tex]\frac{1}{11}[/tex]
Step-by-step explanation:
First we open the factorial of 12, to simplify the expression:
12! = 12*11*10*9!
So
5!*9! = 12!*N
5!*9! = 12*11*10*9!N
12*11*10N = 5!
Now we open the factorial of 5. So
12*11*10*N = 5*4*3*2*1
Since 5*2 = 10, 4*3 = 12, we have that:
12*11*10*N = 10*12*1
Now, simplifying by 10*12
11N = 1
[tex]N = \frac{1}{11}[/tex]
This is the value of N that satisfies the equation
IN FACTORED FORM PLZ!!
DUE TONIGHT HELP!!! WILL MARK THE BRAINLIEST!!
Answer:
Step-by-step explanation:
y=(2x+3)^2(x-5)
Solve by matrix 2c+4p+2b=34, c+3p+b=22 , 3c+2b=17
9514 1404 393
Answer:
(c, p, b) = (3, 5, 4)
Step-by-step explanation:
A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.
The solution is (c, p, b) = (3, 5, 4).
_____
The augmented matrix for the given set of equations is ...
[tex]\left[\begin{array}{ccc|c}2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right][/tex]
HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?
Answer:
43
Step-by-step explanation:
we know that ABC and CBD need to add up to 90 so we have
47+CBD=90
CBD=43
Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43
Choose the angle that is supplementary to angle 2. (it's not angle 3 btw)
Answer:
Angle 1
Step-by-step explanation:
Supplementary = Two angles that has a sum of 180 degrees
Angle 1 + Angle 2 = 180 degrees
Alex ate 1/3 of a pizza. Katelyn ate 2/7 of the same pizza. How much larger of a portion did Alex eat than Katelyn?
Answer:
1/21
Step-by-step explanation:
1/3 - 2/7 = 7/21 - 6/21 = 1/21
Hope I helped!
what is the distance between -14 and 36 feet
Answer:
Your awnser is 50
Step-by-step explanation:
Have a great day! :D
Answer:
50
Step-by-step explanation:
because if you look on a line graph -14 then it takes 14 feet to get it to 0 then 36 more to get it even with 36 then add 14 and 36 and u get 50
18. Jackie drives 160 miles from Gary, Indiana to
Indianapolis, Indiana in 4.5 hours. At that rate,
how long would it take her to drive from Gary to
Detroit, Michigan, which is a distance of 240
miles?
Answer:
11 hours and 15 minutes (11.25)
Step-by-step explanation:
make a ratio
160:4.5
240/160=1.5
so 1 and 1/2 intervals of 4.5 hours
4.5+4.5= 9
4.5/2=2.25
9+2.25=11.25
The solution is 3.75 hours
The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the equation be represented as A
Now , the value of A is
Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours
Distance = 160 miles
Time = 2.5 hours
So , the speed = distance / time
Substituting the values in the equation , we get
Speed = 160 / 2.5
Speed = 64 miles / hour
Now , the new distance = 240 miles
So , the Time required = Distance / Speed
Substituting the values in the equation , we get
Time required A = 240 / 64
Time required A = 3.75 hours
Therefore , the value of A is 3.75 hours
Hence , the time taken with a speed of 64 mph is 3.75 hours
To learn more about speed click :
https://brainly.com/question/22228723
#SPJ2
Find mZB in the parallelogram.
B
С
51°
A
D
7
mZB=
Answer:
plzz show me the diagram otherwise I can't help you sorry!!!!
Find the 53rd term of the arithmetic sequence -12,-1,10
Answer:560
Step-by-step explanation:
Answer: 560
Step-by-step explanation:
To order a pizza, you must choose a type of crust, a type of sauce, and also a size. How could you determine the number of outcomes?
# of different crust choices x # of different sauces x # of different sizes = the # of outcomes u'll end up w :)
Answer:abe
Step-by-step explanation:
The sum of two numbers is 50. One number is 28 more than the other. Find the numbers.
Answer:
Step-by-step explanation:
28+22 is 50
Answer:
12+28=50
Step-by-step explanation:
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
Are 5x²y and 5y^2x LIKE TERMS or NOT LIKE TERMS?
evaluate 9.3s+8.9t when s=3 and t=4
Answer:
63.5
Step-by-step explanation:
9.3(3)+8.9(4) = 63.5
substitute the values (s and t) with the given numbers (3 and 4.)
Answer:
63.5
Step-by-step explanation:
Will give brainliest
Answer:
A and D
Step-by-step explanation:
Answer:
A and D.
Step-by-step explanation:
The main property of rhombi is that they have all four congruent sides.
So the only two quadrilaterals with four congruent sides are A and D.