Answer:
We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer always, sometimes, or never.
Answer:
always
never
always
always
A hamburger and a soda cost $1.45. Two hamburgers and one soda cost $2.50. What is the price of one soda?
$0.60
$0.40
$0.50
Answer:
$0.40
Step-by-step explanation:
let a hamburger be X and soda b y
then X + Y is equals to 1.45
2 X + Y is equals to 2.50
using elimination method we will fine the value of x
2 X + Y = 2.50
- X + Y= 1.45
X = 1.05
now how to find the value of Y
we know that X + Y = 1.45
putting the value of x
we get Y is equals to 1.45-1.05
$0.40
Write the equation of the sinusoidal function shown?
A) y = cos x + 2
B) y = cos(3x) + 2
C) y = sin x + 2
D) y = sin(3x) + 2
Answer:
günah(3x) + 2
Step-by-step explanation:
Gösterilen sinüzoidal fonksiyonun denklemini yazınız? A) y = cos x + 2 B) y = cos(3x) + 2 C) y = günah x + 2 D) y =
Answer:
y = sin(3x) + 2
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.
nOSE
D
AS
DA
DAS
DA
SD
ADA
SD
Answer:
Oc
Step-by-step explanation:
Oc because product means multiplication and there is a negative sign
Whoever can answer this question gets 100 Points!!!!!!!
question: What is 2 + 2 - 1
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]
X - 3/8 = 13/2
Add 3/8 to both sides:
X = 13/2 + 3/8
Rewrite 13/2 to have 8 as the denominator:
13/2 x 4 = 52/8
X = 52/8 + 3/8
X = 55/8
Answer:
55/8
Step-by-step explanation:
Add 3/8 to both sides
X - 3/8 = 13/2
X = 13/2 + 3/8
make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8
X = 52/8+3/8
X= 55/8
I need help on #17 can someone please help me?
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
4. Find the height, x, of the building
Urgent please help
Answer:
D
Step-by-step explanation:
The function you need to use is the Tan(39).
Tan(x) = opposite / adjacent.
The opposite side does not make up the reference angle.
In this case, the opposite side = x
The adjacent side is not the hypotenuse and does make up the reference angle (which is not the right angle).
opposite = x
adjacent = 68
Tan(39) = x / 68 Multiply by 68
68*Tan(39) = x Divide by Tan(39)
Tan(39) = 0.9098
68*.9098 = x
x = 55.07
Greatest Common Factor
1. 18 and 54
2. 36 and 54
Least Common Multiple
1. 6 and 8
2. 12 and 18
Answer:
GCF
1.18
2.18
LCM
1.24
2. 36
What is the equation of a line that passes through the point (5,3) and has a slope of -2?
Answer:
y = -2x +13
Step-by-step explanation:
you know the point is (5,3) and slope is -2
sub into the linear equation y=mx+b
3 = -2(5) +b
rearrange and solve for b
b= 3 + 10
b = 13
ans of this
fast to get 10 pts
Answer:
2.equivalent sets is answer.46°
X
Х
X =
degrees.
Answer:
x = 67°
Step-by-step explanation:
The 2 base angles x are congruent , then
x = [tex]\frac{180-46}{2}[/tex] = [tex]\frac{134}{2}[/tex] = 67°
Answer:
X= 67 degrees.
Step-by-step explanation:
All triangles must add up to 180°. This is an isosceles triangle which means once you have one degree you can find the other two.
In order to get the answer start with 180°-46°
180-46=134
The two x's equal each other. So you can divide the remaining degrees by 2 to get the answer.
134÷2=67.
So the answer is 67°.
Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 4 comma negative 3 up to the right through the point 5 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 5 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 4 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Answer:
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
Answer:
.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.
.
.
2/5
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
Helpppoplplllllpppllppppppppplpppppppppp
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 17/29
x = arctan(17/29)
x = 30.379 which is approximate
x = 30
Side note: arctan is the same as inverse tangent [tex]\tan^{-1}[/tex]
What is the largest number that has the factors of 3, 4 and 5 between 57 and 250?
I think the answer is 240
Simplify x + (7+14x)
Answer:
15x + 7
Step-by-step explanation:
x + (7 + 14x)
x + 7 + 14x
15x + 7
Answer:
15x + 7
Step-by-step explanation:
Remove parenthesis:
x + 7 + 14x
Combine like terms:
14x + x = 15x
Add the seven:
15x + 7
Hope this helped.
May anyone help me with this
Answer:
Step-by-step explanation:
y=3(x−3)^2+75
Answer:
(x - 3)² = - 25
Step-by-step explanation:
Given
- 3x² = - 18x + 102 ( add 18x to both sides )
- 3x² + 18x = 102 ( divide through by - 3 )
x² - 6x = - 34
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = - 34 + 9
(x - 3)² = - 25
Directions: Divide the array in 2 smaller facts to help you fill in the
missing numbers to find the product.
3.
XXXXXXXX
ХХХХХХХХ
ХХХХХХХХ
ХХХХХХХХ
XXX ХХХХ
XXX
XXX
7х8
(x)+(x)
7х8 =
Answer: The answer is 56
explanation: 7*8 is the same as 8+8+8+8+8+8+8 or 7+7+7+7+7+7+7+7 and if you do the math it equals 56
Need help with VOCAB!!! Please make sure it's correct
Hey there!
I believe your answer would be a transformation, and not a translation.
A transformation is an operation that moves, flips, or otherwise changes a figure to create a new figure.
Hope this helps!
Have a wonderful day! :)
ntroduction to Functions
Assignment Active
Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
0 (-1, -3)
O (4, -2)
O (6,-1)
Answer:
To be a function, each input must only have one output. In this case, input 4 has two outputs, so (4 , -2) can be removed for it to be a function.
Let me know if you have any other questions!
The ordered pair (4,2) could be removed to make the given relation a function.
What is the relation?A relation is a function if for every input (x-value) there is exactly one output (y-value).
If there are two or more ordered pairs with the same x-value but different y-values, then the relation is not a function. In this case, one of those ordered pairs would need to be removed in order to make it a function.
As per the question, the relation was given as {(-5,0), (2, -3), (-1, -3), (4, -2), (4, -2), (6,-1)}, the ordered pair (4,-2) would need to be removed because there are two outputs (-2 and 2) for the input of 4.
Thus, removing (4,2) would result in the function.
Learn more about the relations here:
https://brainly.com/question/29207494
#SPJ7
What are 3 expressions equivalent to 4x-2
Answer:
1 2x-4,x-42,2-4x I hope it will help you please follow me
PLEASE HELP ill give you 45 points and mark brainliest if it’s correct
Answer:
The answers are below,...
Step-by-step explanation:
1. LN = 37
2. NM = 23
3. x = 4
4. EF = 58 / x = 16
5.
6.
7.
8.
Moreover explanation:
Okay so with 5-8 I was unable to figure out the answer,... I guess I shouldn't be answering your questions if I have to figure them out as well. lol,... I did however try (I've been working on just 5-6 for the last hour or so) so I guess brownie points for me for that,... so sorry I couldn't help completely though,... I asked my older brother how to solve them and he is going to get back to me on them (he also has a schedule to keep) I'll hopefully get back to you soon so stay tuned (or not cause hopefully someone else has already answered them) again, so sorry. and the best of luck to you! later!
Which is the angle of depression from b to c
1.)<2
2.) <3
3.) <1
4.)<4
<2
Step-by-step explanation:
that the answer. because it below par
Help plz!!!!!!!!!!!!
Answer:
Option A, 90
Step-by-step explanation:
105×2-120
= 210-120
= 90
2.2.4.4.4=
plzz help
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
These prisms are similar. Find the surface
area of the larger prism. Round to the
nearest tenth.
5 in.
Surface Area = 572 m2 Surface Area = [ ? ] m2
6 in.
Answer:
823.7 m^2
Step-by-step explanation:
The ratio of the side lengths is 6/5.
The ratio of the areas is the square of the ratio of the side lengths, 36/25.
572 m^2 * 36/25 = 823.7 m^2
Select the correct answer from each drop-down menu.
Consider the function fx) = -2x + 6x3 + 2x.
The function is
because
Answer:
This is an odd function because f (–x) = f (x)
Step-by-step explanation:
This is an odd function because f (–x) = f (x)
f(x) = -2x^5 + 6x^3 + 2x.
All the powers are odd powers and the sum of odd functions is odd
All of the terms are odd functions so the total function is odd
Answer:
CORRECT
Step-by-step explanation:
