Complete the squares to get
[tex]x^2+y^2=2x-6y+6[/tex]
[tex]\implies(x^2-2x+1)+(y^2+6y+9)=16[/tex]
[tex]\implies(x-1)^2+(y+3)^2=4^2[/tex]
which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.
The area of the region enclosed in the graph x²+y² =2x-6y+6 is 50.26 square units.
What is the area of the circle?The area of the circle can be calculated by the product of π times square of the radius or the product of π/4 times square of diameter.
Area of the circle= A= πr²= πd²/4
where r is radius of the circle and d is diameter of the circle.
Here given that
the equation of circle is given by
x²+y² =2x-6y+6
⇒ x²+y² -2x-6y = 6
⇒ x²-2x+y²-6y = 6
Adding 1 on both sides
⇒ x²-2x+1+y²-6y = 6+1
Adding 9 on both sides
⇒ x²-2x+1+ y²-6y+9 = 6+1+9
⇒x²-2x+1+ y²-6y+9 = 16
⇒ (x-1)² + (y-3)²= 4²
which is similar to equation of the circle
(x-a)² + (y-b)²= r²
This is the equation of the circle in center and radius form where (a,b) is the center of the circle and r is the radius of the circle.
here in the equation of the circle the center of the circle is (1,3)
radius is 4 units.
then the area of the circle is = πr²= π4²= 16π= 50.26 square units.
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What is the degree of
5x^2 -4x+2x^3
Answer:
This is a third-degree trinomial.
Step-by-step explanation:
To find the degree of a polynomial, simply look at the term with the highest power. In the case of this polynomial, the term with the highest power is 2x^3 which is a third power. Hence, this is a 3rd degree trinomial.
Cheers.
Select the statement that is true about the temperatures -9°F and -7°F.
A
-7°F,< -9°F because -7°F is colder than -9°F.
B
-7°F > -9°F because -7°F is colder than -9°F.
C -7°F >-9°F because -7°F is warmer than -9°F.
D -7°F <-9°F because -7°F is warmer than -9°F.
Answer:
C. -7f > -9 because -7f is warmer than -9f
Step-by-step explanation:
Process of Elimination
You can rule out B and D because the answer contradicts itself.
Previous Knowledge
We know -7f is warmer than -9f because its closer to 0 so we can rule out A
Therefore through the process of elimination you can conclude the answer is C
Given that cos x° =Sin (3x +10)
find tan X°
Answer:
the answer is tan 20 =0.364
Step-by-step explanation:
we can write sin(3x+10)= cos{90-(3x+10)}
now
cosx= cos{90-(3x+10)}
eliminating cos from both sides we get
x=90-3x-10
4x=80
x=20
tan 20=0.364
it can be 40 also
if we take the sin part
if m<FHI=142, what are m<FHG and m<GHI
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
------------------
Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
Please help 100 points please ASAP :(((
Answer:
1. line
2. line segment
Answer:
mark the other girl brainiest
Step-by-step explanation:
what is the value of y in the equation 6.4x+2.8y=44.4,when x=3?
Answer:
y = 9
Step-by-step explanation:
6.4x + 2.8y = 44.4
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
2.8y = 25.2
y = 9
PLEASE HELP! What is the equation of the given quadratic function? (I'll put a picture of the graph)
Answer:
f(x)=x^2+8x+24
Step-by-step explanation:
The reason that it is the 4th one is because there is an x^2 which indicates a quadratic and it is negative because the quadratic is going down
The three incoming currents at a
node in an electrical circuit
measure 0.38 amps, 0.75 amps,
and 0.29 amps. Two of the three
outgoing currents measure 0.48
amps and 0.6 amps. Find the
measure of the third outgoing
Current
PLS HELP
Answer:
Measure of the third outgoing current will be 0.34 ampere.
Step-by-step explanation:
Kirchhoff's Current Law states that total current entering a circuit's junction is exactly equal to the total current leaving the same junction.
By this rule,
Sum of input three currents = Sum of three outgoing currents
0.38 + 0.75 + 0.29 = 0.48 + 0.6 + i
1.42 = 1.08 + i
i = 0.34
Therefore, measure of the third outgoing current will be 0.34 ampere.
use the graph to determine the domain and range of the relation and state whether the relation is a function
Answer:
the domain is {0, 1, 2, 3, 4... to positive infinity}
The range is {-1, -3, 0, -4 and so on}
this is not a function
Step-by-step explanation:
domain is a set of all x values, so just write the x values based on the graph
range is a set of all y values, so just write y values based on the graph
not function because it doesnt satisfy with the vertical line test.
i hop it help u
1. En el numeral 341, 427,538 ¿Cuál dígito está en el lugar de la centena de millón? * (1 Punto) A. 2 B. 7 C,4 D. 3
Answer: D: 3.
Step-by-step explanation:
Ok, vamos a contar los dígitos de derecha a izquierda.
El dígito que ocupa el lugar de la centena de millón va a ser el 9. (o el primero contando de izquierda a derecha).
en el numero 341,427,538 el noveno dígito es un 3.
Entonces el numero que esta en el lugar de la centena de millón es un 3
La opción correcta es D
Point E has a positive y-coordinate
which is greater 7.6 or the square root of 55
Answer:
Step-by-step explanation:
7.6 is greater
I need help with this Operation, 5-(1-5÷(-5)(5+1))? Please help me, I don't know what to do.
Answer:
-2
Step-by-step explanation:
5-(1-5÷(-5)(5+1))
Work the parentheses from the inside out
5-(1-5÷(-5)*6)
Them the Work inside the last parentheses and multiply and divide from left to right
5-(1-5÷(-5)*6)
5 divided by -5 = -1
5-(1-(-1))*6)
-1 * 6 = -6
5-(1- -6)
Then subtract
1 - -6 = 1+6 = 7
5 - (7)
Subtract
-2
Answer:
[tex]\Huge \boxed{-2}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5-(1-\frac{5}{-5} (5+1) )[/tex]
Solving for brackets.
[tex]\displaystyle 5-(1- (-1)(6))[/tex]
[tex]\displaystyle 5-(1+6)[/tex]
[tex]5-7[/tex]
Subtracting both numbers.
[tex]=-2[/tex]
there are infinite number of correct answers just make sure you identify what
The temperature one afternoon at 3 PM
was 66 degrees and by 10 PM it was 17
degrees. What was the total change in
temperature?
Answer:
Your answer is 49 degrees
Step-by-step explanation:
66 - 17 = 49
Which of the following interpretations for the given expression is correct?
Answer:
Step-by-step explanation:
Hello friend!!!!!
Third option is the correct answer.
Hope this helps
plz mark as brainliest!!!!!!!
Step-by-step explanation:
Hey, there!!
Option 3 is the correct answer.
here,
when we cube the sum of 5 and 3 times y^2 it looks like,
=[tex] {(5 + 3 {y}^{2}) }^{3} [/tex]
now, when we divide it by cube of the product of 4 and y we get,
=[tex] \frac{ {(5 + 3 {y}^{2}) }^{3} }{ {4y}^{3} } [/tex]
so, answer is option 3.
Hope it helps..
Use the distributive property to find an equivalent expression for each of the following: a. 3(x + y) b. −(2x + 1) c. −4(x + 3y)
Answer:
a. 3x+3y
b. -2x-1
c. -4x-12y
Step-by-step explanation:
basically u just multiply
a. 3(x + y)
=3x+3y
b. −(2x + 1)
=-2x-1
c. −4(x + 3y)
=-4x-12y
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
a)3x+3y
b)-2x-1
c)-4x-3y
Step-by-step explanation:
a)3(x+y)
3x+3y
b)-(2x+1)
-2x-1
c)-4(x+3y)
-4x-12y
Note:
-&+=-
+&+=+
+&-=-
-&-=+
Hope this helps ;) ❤❤❤
margo draws a triangle. The lengths of the sides of he triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of three squares to show that the triangle is a right triangle. Which of these could be the area, in square units, of a square that margo uses.
Answer:
Either of the following square values:
[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]
Step-by-step explanation:
The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:
[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]
plz answer it, plz answer it, plz answer it.plz answer it, plz answer it, plz answer it.
Answer:
Option (C)
Step-by-step explanation:
x and y are two rational numbers.
Two inequalities which define these numbers are,
x + y < 5 ------(1)
3 < x < 5 -------(2)
In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.
Option (A). y = [tex]\frac{8}{3}[/tex]
From inequality (1),
[tex]x+\frac{8}{3}<5[/tex]
[tex]x<5-\frac{8}{3}[/tex]
x < [tex]\frac{7}{3}[/tex]
x < 2.33
But 3 < x < 5, therefore, y = [tex]\frac{8}{3}[/tex] is not the answer.
Option (B). y = 2
x + 2 < 5
x < 3
But x is greater than 3. Therefore, Option (B) will not be the answer.
Option (C). y = 0
x + 0 < 5
x < 5
Inequality (2) states the same thing.
Therefore, Option (C) will be the answer.
Option (D). y = 3
x + 3 < 5
x < 5 - 3
x < 2
But x > 3, therefore, Option (D) will not be the answer.
Answer:
C is correct because if x is less than 5 and greater than 3 than is would most likely be 4 and 4 plus 0 equals 4 the problem says x plus y should be less than 5 and 4 plus 0 is less than 5
Step-by-step explanation:
Long answer short the answer is c
What is the decimal equivalent of each fraction, and/or the fraction equivalent of each decimal? A. 1/4 B. .625 C. 2 7/8
Answer:
A. 0.25 B. 625/1000 C. 0.875
Find the value of x.
2549
Read the paragraph. Replace each underlined noun by writing a pronoun above it.
Then, read the new paragraph.
Answer:
Step-by-step explanation:
She
She
Her
He
Their
They
They
Their
We
They
Him
Find the least value of x which satisfies
the equation 4x = 7 (mod 9).
Answer:
just free your mind drink water and go outside take fresh air you will get answers.
Explanation:
This a best method to solve the answer.I hope it is helpful to you
Subtract 2 5
3 — — —
9 9
Answer:
2 2/3 or 24/9
Step-by-step explanation:
3 2/9 - 5/9 = 24/9 = 2 6/9
3*9+2 = 29/9
29/9 - 5/9 = 2 6/9
2 6/9 turns into 2 2/3
2 2/3 is equal to 24/9
Answer:
2 2/3
Step-by-step explanation:
What you do is make 3 2/9 into an improper fractions --> 9 * 3 + 2 = 29/9
29/9 - 5/9 = 24/9
So, now you're going to make 24/9 into a mixed number which is 2 6/9 --> 2 2/3
(1 + 4i)^2
Solve please?
Answer:
-15 + 8i
Step-by-step explanation:
(1 + 4i)²
(1 + 4i) (1 + 4i)
FOIL - first -- outer -- inner -- last
F -- 1 x 1 = 1
O -- 1 x 4i = 4i
I -- 4i x 1 = 4i
L -- 4i x 4i = 16i²
combine terms
1 + 4i + 4i + 16i²
simplify
1 + 8i + 16i²
(i² = -1)
simplify further
1 + 8i + (16)(-1)
1 + 8i - 16
-15 + 8i
brainliest for anyone that answers correctly
Answer:
Hey there!
Your answer is close- but not quite! You chose y=10x, however, if you look closely, the cost is 10 at 2 sandwiches. Thus, the slope should be 5, and correct answer would be y=5x.
Let me know if this helps :)
Answer:
the answer should be C
The Diplodocus dinosaur is believed to have become extinct approximately 1.38 x 108 years ago.
The Oviraptor is believed to have become extinct approximately 7 x 10 years ago. How many
years were there between the extinction of these two dinosaur types?
Drag each expression to the correct location on the solution. Not all expressions will be used.
Answer:
Hey there!
[tex]8x^3+2x^2-20x-5[/tex]
[tex](8x^3+2x^2)+(-20x-5)[/tex]
[tex]2x^2(4x+1)+(-5)(4x+1)[/tex]
[tex](2x^2-5)(4x+1)[/tex]
Let me know if this helps :)
The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 8x³ + 2x² - 20x - 5
Now, We can simplify as;
⇒ 8x³ + 2x² - 20x - 5
⇒ (8x³ + 2x² ) + (- 20x - 5)
⇒ 2x² (4x + 1) - 5 (4x + 1)
⇒ (4x + 1) (2x² - 5)
Thus, The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
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Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation that shows how many months , m , it will take for Jason weigh the same as Gerardo
Answer:
5 months
Step-by-step explanation:
Jason's original weight = 120 pounds
Let the no. of months be m
If he gains 10 pounds in each moth , then his weight in m months will be = 10m
His total weight will be= 120+10m -----(1)
Gerardo's original weight = 150 pounds
If he gains 4 pounds in each month , then his weight in m months will me =4m
His total weight will be = 150+4m-----(2)
Equating (1) ans(2)
120+10m=150+4m
=>10m-4m=150-120
=>6m=30
=>m=[tex]\frac{30}{6}[/tex]
=>m=5
It will take 5 months for Jason to weigh the same as Gerardo
big boy points for big boy question
Answer:
36[tex]\sqrt{3}[/tex] + 72
Step-by-step explanation:
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Thus width of rectangle = 3 + 3[tex]\sqrt{3}[/tex] + 3 = 6 + 3[tex]\sqrt{3}[/tex]
Hence
area = length × width
= 12 × (6 + 3[tex]\sqrt{3}[/tex] ) = 36[tex]\sqrt{3}[/tex] + 72 mm ²
36 [tex]\sqrt{3}[/tex]+ 72
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = = 3
Thus width of rectangle = 3 + 3 + 3 = 6 + 3
Hence
area = length × width
= 12 × (6 + 3 ) = 36 + 72 mm ²