Answers
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Related Questions
Ava has $300 on her credit card. She bought a laptop for $215, and decided to spend the rest on shirts. The unit price of shirts which are on sale is $15. Part A: Enter an inequality which represents the maximum number of shirts, s, Ava can buy. Part B: What is the maximum number of shirts Ava can buy?
Answers
Answer:
s≤5
Step-by-step explanation:
Given data
Amount on credit card= $300
Cost of Laptop= $215
Change = 300-215
=$85
We are told that the unit cost of shirts is $15
Hence the number of shirts $85 can buy is
=85/15
=5.6 shirts
s≤5
Solve using substitution x=-6 6x+10y=14
Answers
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Calculate the mean and range of the following sample:
7 12 15 16 21 31 22 25 11
Answers
Answer:
Mean: 17,78
Step-by-step explanation
Add up all the numbers then divide by how many numbers there are
Basically divide by the count.
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
Answers
Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
pls I need your help in finding this math problem
Answers
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
From 5x2 - 6x + 8, subtract 3x2 - 2x - 4.
A.
2x2 + 6x - 12
B.
2x2 - 6x + 12
C.
-2x2 + 4x - 12
D.
2x2 - 4x + 12
Answers
Answer:
D. 2x² - 4x + 12
Step-by-step explanation:
5x² - 6x + 8
-3x² - 2x - 4
-__________
2x² - 4x + 12
2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°
Answers
All you gotta do is add all the different options and see which gives you 180 degrees.
jim invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3%. the total interest that he earned was $540. how much did he invest?
Answers
Answer:
the principal or invested amount is $457.63
Step-by-step explanation:
The computation of the invest amount is given below:
As we know that
Principal = AMount ÷ (1 + rate × time)
= $540 ÷ (1 + 0.03 × 6)
= $540 ÷ 1.18
= $457.63
Hence, the principal or invested amount is $457.63
Basically we have applied the above formula so that the same would be calculated
help please- I’m in between 962.5 and 1925 cubic meters
Answers
The base is a triangle and it area= 0.5bh
0.5 x 11 x 5= 27.5
27.5 x 35=962.5m^3
Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help
Answers
Answer:
well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.
his grade for exam 2 was 95
Step-by-step explanation:
15% of 100 = 15
80 + 15 = 95
Answer:
92
Step-by-step explanation:
15 percent of 80 is 12 percent
80 + 12 = 92
Which one is the correct one
Answers
Step-by-step explanation:
Sum of opposite angles are supplementary,
x + 60 + 3x = 180
4x + 60 = 180
4x = 180 - 60
4x = 120
x = 120 / 4
x = 30
If y = 160 (2x) , what is y if x = 2?
No Files or links. Just the answer.
Answers
Answer:
640
Step-by-step explanation:
hope that helps you out
Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What is the unit rate for the pistachio nuts? How do you know?
Answers
Answer:
$3.98
the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought
Step-by-step explanation:
unit rate = total cost / total pounds bought
7.96 / 2 = $3.98
1.99 / 0.5 = $3.98
in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!
Answers
Answer:
[tex]\huge{\{\fbox{\tt{Questions }}\}}[/tex]
The required measures of the circle are:
mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135
m∠ABF=120
What are the sections of the circle?A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.
Here,
A circle is shown,
mDF = 75 [shown in the image]
m∠FBE = 60 + ∠CBE
m∠FBE = 60 + ∠ABD [∠ABD=∠CBE]
m∠FBE = 60 + 45 [∠ABD = 180 - 75-60]
m∠FBE = 105,
Similarly,
mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120
Learn more about the section of the circle here:
https://brainly.com/question/29060579
#SPJ2
PLS HELP ASAP 10 POINTS
Erika has a collection of 300 movies. 2/5 of these movies were made after 2010. 50% of the movies were made between 1990 and 2010. The rest were made before 1990.
How many movies of Erika's collection were made before 1990?
Answers
Answer:
30
Step-by-step explanation:
300 * 0.4= 120
300*0.5 = 150
150+120=270
300-270=30
a³ × a² help me get the answer for this
Answers
Answer:
a^5
Step-by-step explanation:
A law of indices states that a^b + a^c = a^(b+c)
a^3 x a^2 = a^5
Hope this helps
Please help me,.........
Answers
Answer
19?
Step-by-step explanation:
Help with thissssssss
Answers
Answer:
27
Step-by-step explanation:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
The missing number is 27.
Answer:
I think its 32 it have the most logic
These two triangles are similar, what does x equal?
Answers
Answer:
2
Step-by-step explanation:
21 divided by 7 is 3 and 14 divided by 7 is 2
we know its 7 because both 14 and 21 can be divided by 7
The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied to
rectangle QPRS to create rectangle QP'R'S?
o (x,y) → (X-6, y + 4)
o (x,y) → (x-4, y+6)
o (x,y) → (x+4, y-6)
o (x,y) → (X+6 Y-4)
Answers
Answer:
C. (x + 4, y - 6)
Step-by-step explanation:
Going up means to add.
When you go up you are in the positives.
When you go left or down on a graph you are in the negatives.
Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 membership levels cost the same
Answers
Answer:
.
Step-by-step explanation:
Cross elasticity of demand is the percentage change in the quantity __________ of a good divided by the percentage change in __________. Group of answer choices demanded; the price of the good supplied; the price of the good demanded; the price of another good supplied; the price of another good demanded; income
Answers
Answer:
demanded;
the price of another good demanded
Step-by-step explanation:
Cross price elasticity of demand measures the responsiveness of quantity demanded of good A to changes in price of good B.
cross price elasticity of demand = percentage change in quantity demanded of good A / percentage change in price of good B
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Income elasticity of demand measures the responsiveness of quantity demanded to changes in income.
Choose the equation that is not a linear function.
A
8x + 12 = 2y
B
y =
x
5
+ 20
C
x = 12y
D
y = (2x)x
Answers
Answer:
The answer is D
Step-by-step explanation:
D, y=(2x)x
y=2x^2
this is a parabola, not a linear equation
!!!!!Based on the data in the table above, how is the age distribution of Texas' population projected
to change in the future?!!!!!
Answers
Answer:
Step-by-step explanation:
Can someone please help i can’t tell which side the base would be and i don’t understand- i will mark brainliest if correct- Thanks !!
Answers
Answer:
Base = 4 units
Height = 8 units
I think the blocks are a unit each and you have to count how much space the triangle is taking up
Answer:
6
Step-by-step explanation:
Remark
This is one of those things that when you see it, you think that really is something.
The trick is to subtract a smaller right triangle from a larger one.
The base for both triangles is 4 (going from where the right angle is to your right where the lines of the red enclosure meet.
Calculations
The height of the larger triangle is 8
The height of the smaller triangle is 5
Area_L = 1/2 8 * 4 = 1/2 * 32 = 16
Area_S = 1/2 5 * 4 = 1/2 * 20 = 10
Red area = 1/2 * 32 - 1/2*20 = 16 - 10 = 6 units
Coach Kawa collected data on 5 of his baseball players. The points show shoe size and the number of runs scored this week by the 5 players.
Answers
Answer:
Carmen
Step-by-step explanation:
Given
See attachment for plot
Required
Player with the most runs
The number of runs is represented by the y coordinates.
So, the player with the most runs has the highest y coordinate.
From the attached plot, the y coordinate of each player is:
[tex]Paulo = 5[/tex]
[tex]Rebecca = 4[/tex]
[tex]Nardine = 9[/tex]
[tex]Jason = 10[/tex]
[tex]Carmen = 11[/tex]
By comparison, Carmen has the most runs (11)
Please help out will give brainliest
Answers
Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
hey can you help me fast!!
Answers
850
Step-by-step explanation:
pls help and neatly show work
Answers
Answer:
Step-by-step explanation:
(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)
x^2 + 15x + 50
(x + 5)(x + 10)
x = -10
Step-by-step explanation:
a
(x+5)(2x+7)-(x+5)(x-3)
factorize (x+5) out
(x+5)[(2x+7)-(x-3)]
(x+5)(2x+7-x+3)
(x+5)(2x-x+7+3)
(x+5)(x+10)
b. to get the zeros of the equation,
(x+5)(x+10)=0
x+10=0
x=-10
since the other one has been found already
Trever was 36 years old five years ago. How old is he now?
Answers
just add 5 to his age