Find the center and the radius of the circle with the equation:
x2 - 2x + y2 + 4y + 1 = 0
Complete the square:
x ^2 - 2x + y ^2 + 4y + 1 = 0
(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4
(x - 1)^2 + (y + 2)^2 = 4 = 2^2
Hence the center is (1, -2) and the radius is 2. (D)
there are 6 boxes each weight 720g that mickey mouse need to carry to goofy house mickey is only strong enough to carry 4 kg at one time. can mickey carry all the boxes on one trip? show work to explain how you know
Step-by-step explanation:
Mickey can't carry all the boxes on one trip because each box contain 720 which means that one box is 720g so if u multiple 6 (720) = 4320g which is 4.32kg so in order for Mickey to carry all his boxes on one trip then he have to increase his maximum levelWhich of the following is a solution of the equation 9 - 2x = -1?
Answer:
x = 5
Step-by-step explanation:
9 - 2x = - 1
9 + 1 = 2x
10 = 2x
x = 5
Answer:
hope it helps
have a good day
Step-by-step explanation:
q
Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.
If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?
1/12
1/4
3/7
4/9
Answer:
should be 3/7 I think that's right
Can someone pls give me the answer to this?
Answer:
A. F'G' = 3 & G'H' = 5.
Step-by-step explanation:
Translations of any shape will not change the side lengths and will be congruent to the original shape.
Write -74.5 as a mixed number.
Answer:
-74 10/5
Step-by-step explanation:
first you will write the decimal number in fraction form which will be,
-74.5 = -745/10
now, on diving we will get,
74 as quotient and 5 as remainder, 10 as divisor.
now mixed fraction is, quotient divisor/remainder
the answer will be -74 10/5
•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.
I got a little help from my tutors at Gauthmath app, you can get it too. I would suggest you this app. really cool app.
Hope my answer helps.
Helppp pleaseee asappp
(a) 8:30 am
(b) 17 minutes
(c) 10:15
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
What is the answer to the below questions 1.Find the sum of 72−104+5and -32+ 4-10. 2.What should be added to 32+32+3 to get 3+3? 3.Subtract the sum of 12ab –10bc –18ac and 9ab +12bc + 14ac from the sum of ab + 2bc and 3bc –ac
Answer:
-65
-61
20ab - 3bc - 3ac
Step-by-step explanation:
1.) Find the sum of 72−104+5and -32+ 4-10.
72 - 104 + 5 = - 27
- 32 + 4 - 10 = - 38
Sum of (-27 and - 38) = - 27 + (-38) = - 65
2.) What should be added to 32+32+3 to get 3+3
32 + 32 + 3 = 67
3 + 3 = 6
67 + x = 6
x = 6 - 67
x = - 61
3.) Subtract the sum of 12ab –10bc –18ac and 9ab +12bc + 14ac from the sum of ab + 2bc and 3bc –ac
(12ab –10bc –18ac) + (9ab +12bc + 14ac)
12ab + 9ab - 10bc + 12bc - 18ac + 14ac
= 21ab + 2bc - 4ac
(ab + 2bc) + (3bc - ac)
ab + 2bc + 3bc - ac
ab + 5bc - ac
(21ab + 2bc - 4ac) - (ab + 5bc - ac)
21ab + 2bc - 4ac - ab - 5bc + ac
21ab - ab + 2bc - 5bc - 4ac + ac
20ab - 3bc - 3ac
lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls
Answer:
(y+8)(y+2)
Step-by-step explanation:
y^2 + 10y + 16
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 =10
(y+8)(y+2)
1.
Line RK
Line TY
Line RU
Line PQ
2. Pick three
- X
- T
- Q
- U
- Y
3. Pick three
- X
- s
- P
- R
- U
- T
4.
Plane QRP
Plane XUY
Plane s
Plane TRY
5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)
6. Round to one decimal point
7-11. Show work if possible plz!
Answer:
the answer is plane try I'm pretty sure it's that.
In a company, 55% of the workers are men. if 1,305 people work for the company who aren't men, how many workers are there in all? Use pencil and paper.
Answer:
If in a company, 55% of workers are men, then,
100%-55%=45% in the company aren't men.
If x be the total number of workers in the company, then
45% of x=those who aren't men
45/100*x=1305
x=2900
Therefore, the total number of workers is 2900.
Answer:
Yeah it is
Step-by-step explanatkeisjjs
Which polynomial is equivalent to (18n^2 - 9n +1) divided by (3n - 1)? Assume the divisor is not equal to zero.
Answer:
6n-1
Step-by-step explanation:
The Equivalent polynomial is 6n-1.
What is polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
We have,
To divide (18n² - 9n+ 1) by (3n-1).
Now, performing the division we get
3n-1 | 18n² - 9n+ 1 | 6n -1
18n² - 6n
_________
-3n + 1
-3n +1
_______
0
Thus, the quotient is 6n -1.
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b
144°
с
Help me please
Answer:
b=36 and c=144
Step-by-step explanation:
b+144=180, b=36
b+c=180, c=180-36=144
Graph the system below and write its solution.
2x+y=4
1
y =
2*-1
Note that you can also answer "No solution" or "Infinitely many" solutions.
.
Solution:
?
No
solution
Infinitely
many
(0,0)
0
5
?
Answer:
2x+y=4
2times-1 is -2
2x+-2=4
2x=4
x=2
(Please only correct answers only)
Factories fully x^2+2x=
Answer:
factorise form of
x²+2x = x(x+2)
What is the value of c?
30°
с
Answer:
c = 60°
Step-by-step explanation:
Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°
c = 60°
The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base of the cliff how tall is the flag pole
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Put all the values to find P.
[tex]P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft[/tex]
So, the flag pole is 38.96 feet tall.
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.
Answer:
Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.
Step-by-step explanation:
The integers are -39 and -38.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given;
The product of two consecutive positive odd integers is 38 less than the square of the greater integer
Now, let the numbers be x and x+
So, the equations will be
x(x+1)-38=(x+1)^2
x^2+x-38=x^2+1+2x
x=-39
x+1=-38
Therefore, the integer numbers will be -39 and -38.
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what is the solution set of (-1/3,4)
Answer:
if the solutsion are r1,r2 then the factored form is
y=a(x-r1)(x-r2) where a is a constant
so
r1=-1/3
r2=4
y=a(x-(-1/3))(x-4)
y=a(x+1/3)(x-4)
so it will be
y=a(x+1/3)(x-4)
a is a constant
Step-by-step explanation:
Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric will they need? (Write your answer as a decimal number!)
x=6 is a solution to the inequalityx−5≤ 10
Answer:
Yes!
Step-by-step explanation:
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
[tex]h(t)=-4.9t^2+490[/tex]. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.
The requried initial height of the object is 490 meters.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The object is dropped from a height of 49 meters.
We know this because the initial height is given by the first term of the expression in the parentheses, which is 49. When the object is dropped from the helicopter, t is equal to zero. Substituting t=0 into the equation for h gives:
h(0) = (49 + 4.9(0))(10 - 0) = 49(10) = 490
Therefore, the initial height of the object is 490 meters.
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Okay the first time nobody came, but please come now. I want steps. This must be written in scientific notation. Thanks! Do 17 and 18 or 19 and 20. Your choice! Just 2 of them. One division and multiplication.
Answer:
Your welcome! :)
Step-by-step explanation:
17: 35000
18: 0.0029
19: 0.000003
20: 1.5
suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo, 555,mega,Young`s town,saba ,blue bay,and century]]and you areonly allowed to diplay 7 canned goods on the shelflist down all the possible combinations?
PLSS!!!! HELP ME WITH THIS I NEED SOLUTION...
please help me oh my lord
Answer:
A
Step-by-step explanation:
Solve for in x in
4+3 (2x-4)=28
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
4+3(2x−4)=28
Step 1: Simplify both sides of the equation.
4+3(2x−4)=28
4+(3)(2x)+(3)(−4)=28(Distribute)
4+6x+−12=28
(6x)+(4+−12)=28(Combine Like Terms)
6x+−8=28
6x−8=28
Step 2: Add 8 to both sides.
6x−8+8=28+8
6x=36
Step 3: Divide both sides by 6.
6x
6
=
36
6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]4+3 (2x-4)=28[/tex]
Distribute 3 to the parenthesis:
[tex]4+6x-12=28[/tex]
Add 12 to both sides:
[tex]4+6x-12=28[/tex]
+12 +12
[tex]4+6x=40[/tex]
Subtract 4 from both sides:
[tex]4+6x=40[/tex]
-4 -4
[tex]6x=36[/tex]
Divide both sides by 6
[tex]6x=36[/tex]
/6 /6
[tex]x=6[/tex]
Hope this helps!
PLEASE HELP. !!!!!!!!!
Answer:
Step-by-step explanation:
The formula for this is:
6(6 + x) = 3(3 + 25) and
6(6 + x) = 3(28) and
36 + 6x = 84 and
6x = 48 so
x = 8