Answers
Answer:
[tex](x-2)^2+(y+4)^2=34[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:
[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
The equation of the circle is therefore:
[tex](x-2)^2+(y+4)^2=34[/tex]
Hope this helps!
Related Questions
Someone please help
Answers
Answer:
A
Step-by-step explanation:
The 3D shape of the 5 cubes put to a 2D-plane will be representing the diagram A.
Answer: A
Step-by-step explanation:
This is because Option A has 5 cubes, as well as the model above which also has 5 cubes. When you change the angle of the way you are looking at Option A it will be similar to the plan above
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answers
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answers
Answer:
7
Step-by-step explanation:
Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?
Answers
Answer:
B I think
Step-by-step explanation:
Answer:
Dude, there is no option?
Step-by-step explanation:
Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?
Answers
Answer: a
Step-by-step explanation: they went 4 left and 3 up
Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?
Answers
Answer:
1,242,000
Step-by-step explanation:
PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answers
Answer:
15
Step-by-step explanation:
30/2 = 15
Answer:
7
Step-by-step explanation:
Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.
Find the value of Y.
Answers
A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
Answers
Answer:
24
Step-by-step explanation:
It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.
Answer: 24
Step-by-step explanation:
40/5=8
So 8hrs per pool, and there are 3 pools so 8*3=24min
Need so help. REally appreciate it
Answers
Answer:
y = (1/2)(x) + 1/2
Step-by-step explanation:
The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).
As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2. Thus, the slope of the line is m = rise / run = 1/2.
Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as
y = (1/2)(x) + 1/2
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answers
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answers
Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10
Answers
Answer:
A) 12
Step-by-step explanation:
Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.
[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]
Multiply both sides by 2y:
[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]
Hope this helps!
How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms
Answers
Answer:
0.0762 kilograms
Answer:
0.0762 kilograms
Step-by-step explanation:
Please help me ASAP!!!
Answers
Answer:
Yes
No
Yes
No
Step-by-step explanation:
9, 15 have 3 as the GCF
12, 18 have 6 as the GCF
15, 27 have 3 as the GCF
30, 45 have 15 as the GCF
Which is the graph of the linear inequality y < 3x + 1?
Answers
Answer:
Step-by-step explanation:
The graph for the inequality is attached with the answer.
We have a linear inequality -
y < 3x + 1
We have to plot the graph of this linear inequality.
What is an Inequality?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
y < 3x + 1
Now, in order to plot the graph for this inequality, let -
y = 3x + 1
Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.
Consider the point (0, 0) -
Solve the inequality for the point (0, 0), we get -
0 < 3 x 0 + 1
0 < 1
Which is true.
Hence, shade the complete area on that side of line where the point
(0, 0) lies.
To solve more questions on Plotting inequalities, visit the link below -
brainly.com/question/1782515
#SPJ6
Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.
Answers
Answer:
Option A
Step-by-step explanation:
The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.
Option A should be the correct answer.
Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.
The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.
How to determine the true statement?From the figure, we have the following highlights
Corresponding angles are congruentCorresponding sides are congruentThe above means that the transformation from one triangle to the other is a rigid transformation
Hence, the true statement is (a)
Read more about rigid transformation at:
https://brainly.com/question/4057530
#SPJ5
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answers
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other electrician works 2 1/2 hours each day. If both work for 5 days, how many hours longer does
the first electrician work than the second electrician?
Answers
2.5 • 5 = 12.5
42.5 - 12.5 = 30
The first electrician worked 30 hours longer than the second electrician.
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answers
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72
What is the least common factor of 9 and 15? (Don’t say 45 please because that’s not the answer I’m looking for ;)
Answers
Answer:
The (GCF) greatest common factor is 3
hope this helps ;)
Step-by-step explanation:
Answer:
LCF = 3
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 15 are: 1, 3, 5, 15
The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.
I hope this helps!!
Help will give brainliest
Answers
Answer:
C
Step-by-step explanation:
55% is the same thing as 0.55. 0.55(300) equals 165
Hope this helps! Please give brainliest!!
Here’s how you do it:
55/100=x/300
x=165
What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?
Answers
Answer:
The area of the rectangle would be 20 square units.
Step-by-step explanation:
The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle. The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.
Answer:
Area = 20
As B = -4
Where -3-1 = -4
We look at x for first measure = -8 -3 = 5
We look at y first sequence change for second measure = -B
x/y = -3-8 /-8 + B
= -3-8 = -8(-8)+B
B = -3+B = -3+1
B= -3+1 = -4
Second measure = -8-4 = 4
Therefore, using both measures in bold : the Area = 4 x 5 = 20
Step-by-step explanation:
A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving
Answers
Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
1 1/3
Step-by-step explanation:
If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5
Answers
Answer:
see explanation
Step-by-step explanation:
To find k, calculate the ratio of corresponding sides, image to original, that is
k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]
Thus
QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is
x = 6 → C
Express 5/7 as a decimal. (Round to the nearest thousandths place)
Answers
Answer:
rounding to the thousandths place, the answer is 0.714
Step-by-step explanation:
This can easily be looked up on google
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
Answers
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.
what is the area of the triangle below?
Answers
All you have to do is base times height and divide by 2
A=bh/2
A=17(8)/2
A=136/2
A= 68
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answers
Answer:
38
Step-by-step explanation:
38 because
[tex]2 3/5 × 3 1/3[/tex]
Answers
Answer:
26/3
Step-by-step explanation:
2 3/5 × 3 1/3
Change to improper fractions.
13/5 × 10/3
Multiply both fractions.
130/15
Simplify.
26/3