The resulting graph is a circle with center at (-3,-1) and radius 3.
The graph of the equation (x+3)²+(y+1)²=9
is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.
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Evaluate the expression x + 23, when x = 17
Answer:
40
Step-by-step explanation:
If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.
17 + 23 = 40
Two closets can store 16
chairs. How many chairs
can 8 closets store?
Answer:
64
Step-by-step explanation:
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
Find the volume of the cylinder below. Leave your answer in terms of pi.
Given f(x) = -x^2 - 2x + 4, find each of the following,
Symmetric point:
Minimum of f:
Maximum of f:
Is f a one-to-one
Does f have an inverse?
Increasing on
Decreasing on
Answer:
Symmetric point: x = -1; (-1, 5)
Minimum of f: None; approaches -∞.
Maximum of f: y = 5.
Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.
Increasing from: -∞ to -1; (-∞, -1)
Decreasing from: -1 to ∞. (-1, ∞)
Answer:
Given f(x) = -x^2 - 2x + 4, find each of the following,
Step-by-step explanation:
f(x) = -x²-2x+4
f(2) = (-2)²-2×2+4
f(2) = 4-4+4
f(2) = 4
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long= [tex]2\sqrt{3}[/tex]
Step-by-step explanation:
This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.
From this, we can deduce that
hypotenuse=2*2=4, and
long= [tex]2\sqrt{3}[/tex]
Which set of shapes could you use to form a net for a
triangular prism?
O 5 triangles
О 4 triangles, 1 rectangle
O 3 triangles, 2 rectangles
O 2 triangles, 3 rectangles
GEOMETRY find the angle of PRQ NO LINKS!!
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
what is one-tenth of 0.90?
Answer:
0.09
Step-by-step explanation:
Mrs. Wilson Shared 63 stickers equally among 4 girls and 5 boys.How many stickers were in each share?
Answer:
7 stickers for each kid
Step-by-step explanation:
NEED HELP ASAP FREE BRAINLIST
Answer:
the correct answer is 904.78 cubic. inches
PLEASE HELP ME! I AM NOT SURE OF MY ANSWERS.
(Only correct or possible answers. I am on Edmentum.)
Answer:
Your answers are correct
What value of x makes this equation true?
12x - 15 = 6 - 36
Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.
Answer:
1st
Step-by-step explanation:
Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning
Answer:
7(1 +3x)
Step-by-step explanation:
The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.
= 7 + 7·3x
= 7(1 +3x)
Solve the equation used to find the area of trapezoid for h A=1/2h(x+y)
3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)
4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)
Answer:
FFFFFFFFFFFFFFFFFFFFFFFF
Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?
The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.
The results of the test are shown in the table.
Unlocked Did Not Unlock Total
Owner 2418 582 3000
Not the Owner 232 768 1000
Total 2650 1350 4000
Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be
P = 232 / 4000
P = 0.058
The probability in percentage will be
P = 0.058 x 100
P = 5.8%
Then the correct option is D.
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Answer:
8.8%
Step-by-step explanation:
I did the test.
Simplify 4^3 • 4^5
a 4^8
b 16•15
c 4^15
d 16^8
Answer:
4^8
Step-by-step explanation:
keep base (which is 4) and add exponents when multiplying
Identify all the two-dimensional figures that are cross-sections for each of the three-dimensional solids.
Cube
pentagon
square
triangle
rectangle
octogon
hexagon
trapezoid
Answer:
square, triangle, trapezoid,rectangle
The Two-dimensional figures are square, triangle, rectangle, and trapezoid.
What are two-dimensional figures?Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.
The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:
squaretrianglerectangletrapezoidLearn more about two-dimensional, here:
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3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,
what is ?
A 8
C. 10
B. 9
D. 11
Answer:
The correct answer is D, 11 cm.
Step-by-step explanation:
Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:
X (third side) = midline x 2
X = 14 x 2
X = 28
3X - 5 = 28
3X = 28 + 5
3X = 33
X = 33/3
X = 11
Therefore, the correct option is D: 11 cm.
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
Answer:
i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.
Step-by-step explanation:
Only 3 more questions to go
01:11:1
n
The population, P, of six towns with time t in years are given by the following exponential equations:
(0) P - 1000(1.08)'
(ii) P-600(1.12)
(iii) P - 2500(0.9)'
(iv) P - 1200(1.185)
(V) P - 800(0.78)
(vi) 2000(0.99)
Which towns are decreasing in size?
i, ii, and iv
c. i, ii, and iii
b. iii, v, and vi
d. vi, i, and ii
a.
Please select the best answer from the choices provided
А
B
е с
D
9514 1404 393
Answer:
b. iii, v, and vi
Step-by-step explanation:
We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.
The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.
Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.
Amar and his friends went to a movie at 3:55 P.M. The movie ended at 5:30 P.M.
How long was the movie?
The movie was
hour(s) and
minutes.
Amar got home 45 minutes after the movie ended.
What time did Amar get home?
Complete the explanation for how you found your answer.
You need to find
minutes after 5:30 P.M.
5:30 to 6:00 is
minutes, so 15 minutes more is
:15.
Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.
Step-by-step explanation:
to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.
3:55+1 hour= 4:55
4:55+5 minutes= 5:00
5:00+30 minutes= 5:30
Add the times to find how long the movie was.
This is how I found how long the movie was.
To find out when Amar got home you have to do the same thing as well.
5:30+30 minutes= 6:00
6:00+15 minutes= 6:15
Hope this helps!
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height
Step-by-step explanation:
area of a triangle is (bh)/2
b=base
h=height
2.1=(2h)/2
2.1=height
Hope that helps :)
Answer:
4.2
Step-by-step explanation:
Multiply 2.1 and 2 to get 4.2
guys thank you for everyone who has helped me im almost done
Answer:
y = 4
y = 7
x = 6
Hope that helps! :)
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each division expression with the correct quotient. (These are the answers)
18x^(2)+39x+15 over 3x+5 -----> 6x+3
35x^(2)-5x-30 over 5x-5 -------> 7x+6
15x^(2)-44x+21 over 5x-3 ------> 3x-7
Answer:
18x^(2)+39x+15 over 3x+5 -----> 6x+3
35x^(2)-5x-30 over 5x-5 -------> 7x+6
15x^(2)-44x+21 over 5x-3 ------> 3x-7
Step-by-step explanation:
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