Answer:
Ecuación estándar de un círculo
(x−2)2+(y−2)2=25
Forma general de la ecuación de un círculo
x2−4x+y2−4y−17=0
Ecuaciones paramétricas de un círculo
x=5cosθ+2y=5sinθ+2
Step-by-step explanation:
Ecuación Estándar de un Círculo
La ecuación estándar de un círculo con el centro en (x_0, y_0) y radio r es
(x^2-x_0) + (y^2-y_0)=r^2
Ecuaciones Paramétricas de un Círculo
Las ecuaciones paramétricas de un círculo con el centro en (x_0, y_0) y radio r son
x=r cos \theta + x_0\\y=r sin \theta + y_0
Ecuación General de un Círculo
La ecuación general de un círculo con el centro en (x_0, y_0) y radio r es
x^2+ax+y^2+by+c=0,
donde
a=-2x_0\\b=-2y_0\\c=x^2_0+y^2_0-r^2
Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.
Answer:
Joe's present age = 36 years
Vika's present age = 20 years
Step-by-step explanation:
Let us represent the present age of
Joe = x
Vika = y
Joe's age exceeds by Vika's age by 16 years.
x = y + 16...... Equation 1
Four years ago, Joe was twice as old as Vika.
x - 4 = 2(y - 4)
x - 4 = 2y - 8........ Equation 2
We substitute y + 16 for x
y + 16 - 4 = 2y - 8
Collect like terms
16 - 4 + 8 = 2y - y
y = 20 years
We solve for x
x = y + 16...... Equation 1
x = 20 + 16
x = 36 years
Therefore, Joe's present age = 36 years
Vika's present age = 20 years
HELP ASAP I GIVE BRAINLISTE
Answer:A
Step-by-step explanation:
Dotted line means less than so it has to be A
Answer:
Step-by-step explanation:
How many tenths are equivalent to 2/5
Hal read 114 pages of his book during vacation. This was 60 percent of the book. How many pages does Hal have left to read
Answer:
76
Step-by-step explanation:
Let number of pages=x
60% of x=114
x=114×100/60=190
pages left=190-114=76
What equation could you solve to find the value of x in this diagram?
Answer:
75+3x=180
Step-by-step explanation:
Answer:
75 + 3x = 180
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
45 + 30 + 3x = 180
75 + 3x = 180
Mrs. Smith's Algebra class has 29 students. There are 3 more girls than boys.
How many girls are there?
boys:
girls:
Hey there!
The answer is 13 boys and 16 girls.
We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:
(x + 3) + x = 29
NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:
x + 3 + x = 29
Add like terms:
2x + 3 = 29
Subtract 3 from both sides:
2x = 26
Divide both sides by 2:
x = 13
Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.
Have a terrificly amazing day! :D
Alice is standing on the roof of a 150 ft building. She looks down at an angle of depression of 15 degree and sees her friend bianca. How far away from the building is bianca
Answer:
559.70 ft
Step-by-step explanation:
Let D be the distance between building and Bianca.
Height of building H = 150 ft
Let there be a triangle ABC where, AC = height of building H= 150ft, AB = distance between Alice and Bianca and BC = D and therefore, ∠ABC = 15°.
Now in Triangle ABC , tanB = AC/BC
therefore, tan15° = 150/D
D = 150/tan15° = 559.70 ft
Therefore, the distance between building and Bianca D = 559.70 ft
Find (y+3)(y^2+8y-2)
Answer:
the answer is y^3+11y^2+22y-6
Answer:
y³ + 11y² + 22y - 6
Step-by-step explanation:
(y + 3)(y² + 8y - 2)
y(y² + 8y - 2)+ 3(y² + 8y - 2)
y³ + 8y² - 2y + 3y² + 24y - 6
y³ + 11y² + 22y - 6
one more question, sorry can someone please help?
Answer:B
Step-by-step explanation:
Honestly when I did the math I got closest to b so I think it's B hope his helps
Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly and combines the two amounts,how much flour and sugar will he have. Show your work
Answer: [tex]\dfrac{14}{10}\ kg[/tex]
Step-by-step explanation:
Given
Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar
If henry added the two amounts, the net weight of the two is
[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]
help all questions are in the picture
Answer:
5. 2=1+1
6. 0= -3*0
7.2=3*0+2
!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?
Answer:
The rhombus because is the same shape
Answer:
Well, seems this'll be a long answer... *ahem*
So, the properties of a Kite are that they have
-Two pairs of consecutive sides
-No opposite sides
-Perpendicular diagonals
-One set of equal angles
The properties of a Trapezoid are that
-It has exactly 1 pair of opposite sides parallel
-It has congruent lower base angles
-Congruent upper base angles (both of these apply only if isosceles)
-Any lower base angle is supplementary to any upper base angle (applies to all)
The properties of a Square are that it has:
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Congruent diagonals
-Perpendicular diagonals
-All sides are congruent
-Consecutive angles are supplementary
-Contains four right angles
The properties of a Parallelogram are
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Consecutive angles are supplementary
The properties of a Rectangle are
-Consecutive angles are supplementary
-Contains four right angles
-Has all the properties of a parallelogram
The properties of a Rhombus are
-Has all the properties of a parallelogram
-Four sides are equal in length
-Diagonals are perpendicular
-Diagonals bisect each pair of opposite angles
Step-by-step explanation:
Hope you have a wonderful day, and also that this helped! (Even though I know it's quite long) :D
convert -350 degrees in radians
Answer:
-(350 degrees) =-(350 degrees) =-6.10865238 radiansAnswer:
-35π/18 radians
Step-by-step explanation:
PLEASE HELP PLEASEEEEEEEEEEEEEEEEE
Answer:
B
Step-by-step explanation:
3(d+2)-12d-2
3d+6-12d-2
3d+6-12-2
3d+4-12d= -9+4
A national park is a rectangle that is 33 miles wide and 56 miles long, How long is a
diagonal road through the park?
Answer:
this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.
Step-by-step explanation:
Answer:23
Step-by-step explanation:
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
1/3x + 8x^4 - 2/3x^2 - x
A. 8x^4 - 1/3x^2 + 2/3x
B. 8x^4 + 2/3x^2 + 2/3x
C. 8x^4 - 2/3x^2 - 2/3x
D. 8x^4 - 2/3x^2 - x
Answer:
c
Step-by-step explanation:
Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold ?
Answer:
2262 in³
Step-by-step explanation:
Given that:
Height, h = 20 inches
Radius, r = 6 inches
Volume of a cylinder is given as :
V = πr²h
V = π * 6² * 20
V = π * 36 * 20
V = 2261.9467 in³
Hence, Nicholas pot can hold about 2262 in³ of soup
Check all the equations that apply to meet the Segment Addition Postulate in segment QA. QP=3x+7, PA=3x+2 and QA=32
Asse
MA
MARS
MAFS
3x-23=-3x
Answer:
J
Step-by-step explanation:
In the following diagram, m AC= 97° and m CD= 112°. Find the measure of angle x.
Answer:
x = 27
Step-by-step explanation:
Hello There!
The first thing we want to do is find the measure of arc AD
remember the circumference of a circle in degrees is 360
so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360
360 - 112 - 97 = 151
so arc AD = 151
now to find x
if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc
For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)
Now what we want to do is plug in the known information and solve for angle B
∠B = 1/2 ( 151 - 97 )
151 - 97 =54
54/2=27
so we can conclude that x = 27
how many times larger is 60 million than 50 million
CAN SOMEONE PLEASE HELP ME WITH THIS??
Answer:
12
Step-by-step explanation:
6x12=72
3x12=36
36+36=72
Answer: 23.
Step-by-step explanation:
PQRS is a parallelogram. Solve for x.
Plz help
Answer:
The opposite sides of a parallelogram are congruent, then
19x - 9 = 13x + 15 ( subtract 13x from both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
---------------------------------------------
Consecutive angles are supplementary, sum to 180° , that is
10y - 37 + 4y + 7 = 180
14y - 30 = 180 ( add 30 to both sides )
14y = 210 ( divide both sides by 14 )
y = 15
Then
∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°
Then
∠ P = 113° ( opposite angles are congruent )
Step-by-step explanation:
Which statement about the numbers 22.407 and 22.416 is true? 22.407 = 22.416 because the values of the 4 in the tenths places are equal. 22.407 > 22.416 because the value of the 7 in the thousandths place is greater than the value of the 6. 22.407 = 22.416 because the values of the 2 in the ones places are equal. 22.407 < 22.416 because the value of the O in the hundredths place is less than the value of the 1.
Answer:
22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.
SHOW ANSWER
Step-by-step explanation:
Answer:
The last answer choice
Step-by-step explanation:
22.407 < 22.416
The following table shows a proportional relationship between X and Y
X Y
2 9
5 22.5
8 36
Write an equation to describe the relationship between X and Y
Please help I do not know how to do this right answer only.
Answer:
x = 58
Step-by-step explanation:
that is a 90 degree angle - 32 degrees = 58 degrees
FILL THIS OUTTTTT PLZZZZ
Answer:
3.5
Step-by-step explanation:
3.5 + 3.5 = 7
DeShawn has 3.5 bottles of water. Each full bottle holds 8.25 fluid ounces. DeShawn wants to know how many fluid ounces of water he has in all. NEED HELP
Answer: 27.625 fl oz
Step-by-step explanation:
8.25*3.5= 27.625 fl oz
please help me solve all of these if right ill give you brainly
6x + 10 = 1x
2a 5 = 3a
7a 5 = 2a
4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x
Answer:
1. =−2
2.
3.
4. a=1
5. x=-1/2
6. x=4.2
Step-by-step explanation:
find the equation that represents the proportional relationship between in this graph
Answer:
y=6/7x
Step-by-step explanation:
You need to find the slope. The rise is 18 and the run is 21. 18/21 simplifies to 6/7
A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?
Answer:
At least 16 service technicians
Step-by-step explanation:
Given
[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
Required
Number of service technician to be online at 12 noon
First, we calculate the value of t
[tex]t = 12\ Noon - 8:00AM[/tex]
[tex]t = 4[/tex]
Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]
[tex]C(4) = 16[/tex]
This implies that there are 16 customers online at 12 noon.
If 16 customers are online, then there should be at least 16 service technicians online.