Answer:
b
Step-by-step explanation:
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 50someone help me pleaseeee
Answer:
huuu wate a few minutes
I will help you
=
3x-2
6
which of the following is the inverse of f(x)?
2x-3
6
O A. f-'(x) = 2x
O f-
B. F'(x) = 6452
O C. F'(x) = 6*+2
O D. F'(x) = 2***
Answer:
i thi nk correct answer is b so
The cost of 3 pounds of grapes is $9.75. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x? pls help, its due by the end of the day (3 pm)
Answer:
3.75
Step-by-step explanation:
We can write a ratio to solve
3 lbs x lbs
---------- = -----------
9.75 y dollars
Using cross products
3y = 9.75 x
Divide each side by 3
3y/3 = 9.75x/3
y =3.75x
The constant is 3.75
Express 367 as a number in base 5
Answer:
[tex] = 367 \div 5 = 73 \: rem5 \\ = 73 \div 5 = 14 \: rem6 \\ = 14 \div 5 = 2 \: rem8 \\ = > 2865 _{five}[/tex]
Justin earns $75 per week . How much does he earn in 30 weeks
Answer:
$2,250
Step-by-step explanation:
$75=1 week
$75×30=$2,250
Determine the length of AC¯¯¯¯¯¯¯¯.
Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy
Answer:
Yes.
Step-by-step explanation:
Because yes.
simplify : sqrt(25-10sqrt(3) +3)
Answer:
3.26794919243
Step-by-step explanation:
The length of a rectangle is 4 inches less than twice its width. If the perimeter of the rectangle is 64 inches, what are the dimensions of the rectangle?
Show work please
Answer:
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 1, 11, 21
Answer:
an = 10n - 9.
Step-by-step explanation:
This is arithmetic with first term a1 = 1 and common difference 10.
an = a1 + d(n-1)
= 1 + 10(n - 1)
= 1 + 10n - 10
= 10n - 9.
Classify the quadrilateral, and then find the value of the variable for each figure:
Answer:
[tex]x=4,\\y=8[/tex]
Step-by-step explanation:
Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.
Therefore, we can set up the following equations and solve for [tex]x[/tex] and [tex]y[/tex]:
[tex]2y=y+8,\\y=\boxed{8}[/tex]
[tex]4x-8=2x,\\-8=-2x,\\x=\boxed{4}[/tex]
I REALLY NEED HELP WITH THIS!!!! I NEVER LEARNED THIS BEFORE!!!!! HEELLLPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
just is
Answer:
C
Step-by-step explanation:
5/6 + 1/12 need the same denominator.
(5/6) * 2
10/12 + 1/12
11/12
This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.
Have a great day! Hope I helped!
Need help
Nnsndndndnddn
Answer:
A. x = 50
Step-by-step explanation:
x° + (x + 10)° + (x + 20)° = 180° (sum of interior angles of a triangle)
Solve for x
x + x + 10 + x + 20 = 180
Add like terms
x + x + x + 10 + 20 = 180
3x + 30 = 180
Subtract 30 from each side
3x + 30 - 30 = 180 - 30
3x = 150
Divide both sides by 3
3x/3 = 150/3
x = 50
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20
Answer:
[tex]y = \frac{-1}{5}x -4[/tex]
Step-by-step explanation:
[tex]x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4[/tex]
Please someone help me here....
Answer:
n > 62
Step-by-step explanation:
All values in the set are greater than 62.
Answer: n > 62
Answer:
Top left corner
Step-by-step explanation:
Joseph bought a box of pens for $15.98. The price included a $1.25 donation to the local
food drive. Tina bought 3 boxes of the same type of pens, but did NOT donate to the
drive. How much did she pay for the pens?
(Lesson 1)
Answer:
$44.19
Step-by-step explanation:
15.98-1.25=14.73
14.73*3-44.19
Answer:
$44.19
Step-by-step explanation:
1 box if pen including donation= $15.98
1 box of pen without donation= $15.98-$1.25
=$14.73
3 box of pen without donation= $14.73×3
=$44.19
If the sun is 63 degrees above the horizon what is the length of the shadow cast by a 79 ft building
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
which of the following is equivalent to (5-7i)(5-7i)
Answer:
Step-by-step explanation:
Here we are multiplying together two complex numbers which happen to be identical: both are 5 - 7i).
This is also "the square of 5 - 7i: (5 - 7I)^2
In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i
Can someone tell me how to give the brainliest award out. You will get it if you answer first
Answer:
you click the crown :)
Step-by-step explanation:
hope this helps!
Answer:
Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.
Step-by-step explanation:
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
Can someone help me with think fast?
Answer:
124
Step-by-step explanation:
A supplementary angle is 180
180-56=124
Just Ignore Q5 if you don’t know so plz don’t answer plz give me the answer of Q3 fast fast
Answer:
2x + 4 = 6x
68 = 6x
6 6
11.33
11.3 = x
Angle 3 and angle 8 are corresponding. So we firstly find 2x + 4 which is 6x
Since we are looking for x we divide 68 from 6 which gives u 11.3
alytic Geometry_S2_2020
Instruction
Active
Using Similarity Transformations to Determine Similarity
y
What steps would you take to determine if these figures
are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by 1
2
D'
CH
x
4
4
Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
D
B
ctivity
Answer and Step-by-step explanation:
I think that the answer choices:
- Multiply the vertices of polygon ABCD by [tex]\frac{1}{2}[/tex]
- Reflect the intermediate image.
These transformations would be a step in the process of determining if the figures are similar.
#teamtrees #PAW (Plant And Water)
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
£90 more
Step-by-step explanation:
4+1=5
150/5=30
I:T
4:1 ×30
120:30
120-30=90
92.6% of 738 toy robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answer: D. n/738 = 92.6/100 ;683 robots
Explantion: cross multiply 738 x 92.6 then divide by 100
The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
What is the missing numerator?
4/6 - ?/8 = 14/48
A.) 05
B.) 04
C.) 03
D.) O2
Write the place value of the underlined digit. each answer, 1 point)
(a thousands b. hundreds ctens d. ones e tenths f. hundredths g. thousandths)
9.0631 3place?
32.158 1 place?
28.537 8 place?
Answer:
tenths
Step-by-step explanation:
ones
thousanths