Answers
Answer:
(x+2)^2 + (y-4)^2 = 4^2
Step-by-step explanation:
A circle is x^2 + y^2 = 1 , where r = 1
The radius of that circle looks to appear to be r = 4.
x^2 + y^2 = 4^2
Transition that circle origin from (0,0) to (-2,4)
The origin is (-2,4) which mean h = -2 left and k = 4 up.
(x-h)^2 + (y-k)^2 = 4^2
(x-(-2))^2 + (y-4)^2 =4^2
Related Questions
pls help me to answer this
Answers
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
100 points please help fast asap
Find the dimensions of the actual swimming pool.
A drawing plan includes a rectangular swimming pool with a length of 1/2 ft and a width of 1/4 ft. The actual pool will be enlarged by a scale factor of 80/1.
Answers
Answer:
length: 40, width: 20
Step-by-step explanation:
length = 1/2×80/1 = 40
width = 1/4 × 80/1 = 20
hope this helps =)
Work out
64.89
% of
407.68
cm
Give your answer rounded to 2 DP.
Answers
Answer:
264.54 cm
Step-by-step explanation:
64.89% x 407.68 cmMultiplying
0.6489 x 407.68 cm264.543552 cm⇒ 264.54 cmI need help with this question for my 8th grade math test
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
Answers
Transforming the points involves changing their coordinates
The image of the points are: (3, 6), (-11, 12) and (-3, -12)
How to complete the transformations?The coordinates of the points are given as:
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwiseThe rule of this transformation is:
(x, y) to (y, -x)
So, we have:
X' = (4, -2)
Y' = (-3, -5)
Z' = (1, 7)
b) Dilation by a scaling factor of 2The rule of this transformation is:
(x, y) to (2x, 2y)
So, we have:
X'' = (8, -4)
Y'' = (-6, -10)
Z'' = (2, 14)
c) Reflect across the x-axisThe rule of this transformation is:
(x, y) to (x, -y)
So, we have:
X''' = (8, 4)
Y''' = (-6, 10)
Z''' = (2, -14)
d) Translation 2 Up and 5 to the LeftThe rule of this transformation is:
(x, y) to (x -5, y + 2)
So, we have:
X'''' = (3, 6)
Y'''' = (-11, 12)
Z'''' = (-3, -12)
Hence, the image of the points are: (3, 6), (-11, 12) and (-3, -12)
Read more about transformation at:
https://brainly.com/question/4289712
An African bush elephant weighs 5½ tons. How many pounds does this elephant weigh?
HELP GUYS!
Answers
Answer:
11000 pounds
Step-by-step explanation:
1 US ton=2000 pounds
multiply the mass value by 2000
5.5ton x 2000pound
=11000pounds
a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.
Answers
The system of equations that represents the imposed constraints is given as follows:
[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.A student may not serve more than 10 total hours per week, hence:
[tex]g + t \leq 10[/tex]
A student must serve at least 1 hour per week at each task, hence:
[tex]g \leq 1, t \leq 1[/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
-
- What is the value of the expression 1\3x (5 + 7 x 4) - 10?
Answers
Answer:
-10x + 11/x
Step-by-step explanation:
I think you mean to simplify
1/3x(5+(7)(4))-10
= -30x + 33/3x
= -10x + 11/x
Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP
Answers
Answer:
4 years
Step-by-step explanation:
basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)
pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?
1 3/10 miles
1 7/10 miles
4 miles
1 1/2 miles
Answers
17/10 miles
1/5*1+1/2*3=3/2+14/10=17/10
Answer:
1/5+3/2=2/10+15/10=17/10
PLS HELP Solve for x
Enter your answer in the box.
Answers
Answer:
6
Step-by-step explanation:
If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.
(Secant-Secant Power Theorem)
(JG)(JH) = (JM)(JK)
(16) X (7) = (8+X)(8)
112=64+8X
8X=48
X=6
HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
Answers
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
if this helped, please consider giving brainliest !
You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?
Answers
[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]
[tex]\sf{A=8*5}[/tex]
[tex]\sf{A=40~ft^2}[/tex]
[tex]\rule{200}{2}[/tex]
[tex]\sf{A=4*8}[/tex]
[tex]\sf{A=32~ft^2}[/tex]
Now, add the areas:-
[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]
[tex]\sf{A=72+32}[/tex]
[tex]\sf{A=104}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
solve for X: x = −b ± √b²-4ac/2a
Answers
two correct answers :
x = -2c
or
x = -2b - 2c
30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a
Answers
Answer:
1800 m²
Step-by-step explanation:
The surface area of a prism is the sum of the areas of its faces.
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²
⇒ 2(LH + BH + LB) = 450 m²
Finding the surface area if the dimensions are doubled:
⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]
⇒ 2[(4LH) + (4BH) + (4LB)]
⇒ 2[4LH + 4BH + 4LB]
⇒ 2[4(LH + BH + LB)]
⇒ 2[2 × 2(LH + BH + LB)]
⇒ 2[2(450)] [2(LH + BH + LB) = 450 m²]
⇒ 2[900]
⇒ 1800 m² (Option C)
The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answers
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mStep-by-step answer, please.
Answers
Answer:
-335670
Step-by-step explanation:
Given :
a₁ = 2[tex]a_{i} = a_{i-1}-3[/tex]Solving :
Sum of an arithmetic sequence is given byS₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)S₃₃₅ = 335/2 x -4008S₃₃₅ = 335 x -2004S₃₃₅ = -335670It forms a arithmetic sequence
First term=a=2Common difference=d=-3So
a_335:-
a+334d2-(334)(3)2-1002-1000So
S_n
n/2[a+l]335/2[2-1000]335/2[-998]335(-499)-167165
Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,
Answers
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]
[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]
[tex]x_1 = 3.5[/tex]
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]
[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]
[tex]x_2 = 0.3[/tex]
The distance is:
[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at https://brainly.com/question/18090623
Solving the System of Equations
Examine the system of equations.
4.2x + 8y = 41.8
–4.2x + y = 19.4
Use the linear combination method to solve the system of equations. What is the value of x?
–3
–1
1.7
6.8
Answers
Answer:
x= -3
Step-by-step explanation:
Solve the following system:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
In the second equation, look to solve for y:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:
y - (21 x)/5 = 97/5
Add (21 x)/5 to both sides:
{8 y + 4.2 x = 41.8
y = 1/5 (21 x + 97)
Substitute y = 1/5 (21 x + 97) into the first equation:
{4.2 x + 8/5 (21 x + 97) = 41.8
y = 1/5 (21 x + 97)
4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:
{(37.8 x + 776/5) = 41.8
y = 1/5 (21 x + 97)
In the first equation, look to solve for x:
{37.8 x + 776/5 = 41.8
y = 1/5 (21 x + 97)
37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:
(189 x)/5 + 776/5 = 209/5
Subtract 776/5 from both sides:
{(189 x)/5 = -567/5
y = 1/5 (21 x + 97)
Multiply both sides by 5/189:
{x = -3
y = 1/5 (21 x + 97)
Substitute x = -3 into the second equation:
Answer: {x = -3, y = 34/5
Answer:
A) -3
Step-by-step explanation:
PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue
Answers
Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTPLEASE PLEASE HELP ME
Answers
Go through second method
Area of one traingle'-
1/2(1.5)42(1.5)3cm²Area of two triangles=6cm²
Area of rectangle
(15-4)(3)11(3)33cm²Total:-
33+639cm²Answer:
Method 1
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × lengthArea of a triangle = 1/2 × base × heightMethod 1
Area of the rectangle:
= 3 × 15
= 45 cm²
Area of the cut-out triangle:
= 1/2 × 3 × 4
= 6 cm²
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Area of the rectangle:
= 3 × (15 - 4)
= 3 × 11
= 33 cm²
Area of one triangle:
= 1/2 × (3 ÷ 2) × 4
= 3 cm²
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units
Answers
Answer:
29.4 m
Step-by-step explanation:
From the graph
You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.From the equation
An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 m50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?
Answers
Answer:
186
Step-by-step explanation:
186-50%= 93 or since 50% is half off 93×2=186.
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3
Answers
Answer:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
Step-by-step explanation:
Equation 1: y = 4x - 2
Equation 2: y = x + 3
Subtract Equation 2 from Equation 1 and solve for x:
⇒ 0 = 3x -5
⇒ 3x = 5
⇒ x = 5/3
Substitute found value of x into one of the equations and solve for y:
⇒ y = 5/3 + 3
⇒ y = 14/3
Therefore, the solution of the system of equations is:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
i do not understand this please help
Answers
Answer: 7.4.
Step-by-step explanation: To find the area of a triangle, you need the base, height, and then divide the results by two. The following is done below:
A = h x b / 2, where h is the height, b is the base, and A is the area of the triangle.
A = 3.7 x 4 = 14.8.
Next, 14/8 / 2 = 7.4.
Therefore, 7.4 is your answer.
Hope this helps! :)
Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2
Answers
Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answers
Answer:
It's the y-int.
Step-by-step explanation:
I can't really see the graph well
The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answers
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
Work out size of angle x
Answers
Answer:
x=120°
Step-by-step explanation:
120×2=240
360-240=120
x=120
Answer:
Angle x = 120 Degrees
Step-by-step explanation:
Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees
e.g. Triangle have 3 sides
3 - 2 = 1
1 X 180 = 180
A Triangle has a total of 180 Degrees
Total Interior angle of a hexagon = 720 Degrees
Interior angle of a regular hexagon is 720 / 6 = 120
360 Degrees in a circle
360 - 120 - 120 = 120
Find the value of x.
x=?
please hurry I will mark brainliest if correct!
Answers
Answer: 45
Step-by-step explanation:
A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.
Number 2. Please help!!!!!!!!
Answers
Answer:
[tex]\frac{x-3}{x+2}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex] Rewrite
[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex] Factor out GCF (3)
[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex] Replace b with factors
[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex] Factor by grouping
[tex]\frac{x-3}{x+2}[/tex] Final answer
For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.
I hope this helps!
