Answers
£19 is your answer.
Related Questions
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?
(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9
Answers
So the center of the image = (-4, 3 -2(4) = (-4, -5)
So the equation of the image is
(x + 4)^2 + (y + 5)^2 = 9
Its choice 3.
The equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
After reflect a point over the line y = -1, we need to use the formula ;
(x,y) → (x, -y - 2).
Hence, We can apply this formula to each point on the circle and simplify to get the equation of the image circle:
(x + 4)² + (y - 3)²= 9
(x + 4)² + (-y - 2 - 3)² = 9
(x + 4)² + (y + 5)² = 9
So, the equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
Therefore, the correct option is,
(C) (x + 4)² + (y + 5)² = 9.
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The cost of gasoline is expected to increase by 2.5% next year. If p represents the current cost of gasoline, which experession represents the expected gasoline price next year?
Answers
[tex]y = x \times 0.025[/tex]
Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
Answers
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),
So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6
∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞
x-intercept = (-1.6, 0) and (-3.2, 0)
=====> y = a(x + 1.6)(x + 3.2)
Given y-intercept = (0, 25.6)
=====> 25.6 = a( 0 + 1.6)(0 + 3.2)
=====> 25.6 = 5.12a
=====> a = 5
Plug in a = 5 into the equation
=====> y = 5(x + 1.6)(x + 3.2)
write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
m=-3, (-2,1)
Answers
The answer is: " y − 1 = - 3(x + 2) " .
__________________________________________________________
Explanations:
__________________________________________________________
Note: The "point-slope form" of the equation of a line is:
→ " y − y₁ = m(x −x₁) " .
We are given the slope, m" , is: " - 3 " ;
We are given a point on the line [on the graph that is represented by this equation]; with the coordinates: " (-2 , 1) " ;
→ which is in the format: " (x₁ , y₁) " ;
→ As such: " x₁ = -2 " ; " y₁ = 1 " ;
_____________________________________________________
As aforementioned, the equation of a line in "point-slope form" ; is:
_________________________________________________________
→ " y − y₁ = m(x − x₁) " ;
in which:
→ "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ; AND:
→ " m " = the slope of the line [represented by the equation] " ;
We proceed by substituting our known values for "m" ; "y₁" ; and "x₁" :
→ " y − 1 = - 3(x − (-2) ) " ;
_______________________________________________________
→ Rewrite as:
_______________________________________________________
→ " y − 1 = - 3(x + 2) " ;
→ which is our answer; since it is written in "point-slope form" .
_______________________________________________________
The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width
Answers
Width:3
This is middle school not high school
Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
b. How long will it take Jason to eat 1 pound of candy?
Answers
B. It would take him a total of 8 days to eat a pound of candy.
A. Since he ate 10 ounces in 5 days, you divide 10 by 5 to find he ate 2 ounces per day. Since there are 16 ounces in a pound that would be your denominator (bottom of fraction) and 2 would be the numerator (top of your fraction). You will get 2/16 which if you simplify (divide by 2) you get 1/8.
B. Knowing that there are 16 ounces per pound and he ate 1/8 pound ( 2/16 pound or 2 ounces) a day, you can either look at the simplified denominator to get the answer, or, divide 16 by 2 to get your answer.
I hope this helps!
Use the difference of squares theorem to find the solution of the following equation:
v^2 = 252
Answers
v^2 - 252 = 0
(v - sqrt252)(v + sqrt252) = 0
so the 2 solutions are sqrt252 and - sqrt252
= 15.87 and -15.87 to nearest hundredth.
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:
(graph of 2x cubed plus x squared minus 3x plus 1)
What is the average rate of change from x = −1 to x = 1?
−1
1
2
4
Answers
We have been given a polynomial [tex]f(x)=2x^{3} +x^{2}-3x+1[/tex] and we are asked to find average rate of change from x = −1 to x = 1.
First of all we will find f(-1) and f(1).
[tex]f(-1)=2\cdot (-1)^{3} +(-1)^{2}-3(-1)+1[/tex]
[tex]f(-1)=2\cdot (-1) +1+3+1[/tex]
[tex]f(-1)=-2 +5=3[/tex]
Let us find f(1),
[tex]f(1)=2\cdot (1)^{3} +(1)^{2}-3(1)+1[/tex]
[tex]f(1)=2\cdot 1 +1-3+1[/tex]
[tex]f(1)=2+1-3+1[/tex]
[tex]f(1)=4-3=1[/tex]
Now let us find slope for our values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{f(1)-f(-1)}{1-(-1)}[/tex]
[tex]m=\frac{1-3}{1--1}[/tex]
[tex]m=\frac{-2}{1+1}[/tex]
[tex]m=\frac{-2}{2}=-1[/tex]
Therefore, average rate of change from our given x values will be -1.
Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0
Answers
The equation has root 1/2 with multiplicity 3.
A , O and B lie on a straight line segment
Evaluate x the diagram is not drawn to scale
Answers
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
The value of x from the given diagram is; 36°
Sum of angles on a straight line.The sum of angles on a straight line is 180°.
In this scenario, the sum of angles on the straight line: AOB is 180°.
Therefore, we have
3x + x + x = 180°5x = 180x = 36°
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In an orienteering competition, Jada walks 70 degrees north of west for 200 meters. She then walks due east for 90 meters. How far and at what bearing is Jada from her starting point?
Answers
c²=a²+b²-2abCos C
a=200, b=90, C=70°
thus plugging in our values we get:
c²=200²+90²-2×200×90×cos70
c²=40000+8100-36000(0.3420)
c²=35788
hence
c=189.1772 m'
therefore the distance Jada is from the starting point is 189.1772 m
Answer:
N55.0679°W
Step-by-step explanation:
Check the attachment for detailed explanation.
I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!
Answers
Also, 4x + 10 + x =180
Combine like terms; 5x + 10 = 180
Here, x=34
34 degrees is the answer!
What is the probability of getting a number greater than or equal to 2 when rolling a number cube number 1 to 6
Answers
The probability of rolling a number that is equal to or greater than 2 is a 5/6 chance. It is a 5/6 chance because there are 6 numbers on a dice and the total amount of numbers from 2 to 6 is 5 numbers (2, 3, 4, 5, 6).
I hope this helps!
the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
When rolling a fair number cube (also known as a fair six-sided die), each face has an equal probability of showing up. Since there are 6 faces numbered 1 to 6, the probability of getting any specific number (including 2) on a single roll is [tex]\( \frac{1}{6} \)[/tex], assuming the die is fair.
To find the probability of getting a number greater than or equal to 2, we can count the favorable outcomes (rolling a number 2, 3, 4, 5, or 6) and divide by the total possible outcomes (which is 6 for a fair six-sided die).
Favorable outcomes: 2, 3, 4, 5, 6 (total of 5 numbers)
Total possible outcomes: 6 numbers
So, the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
Hadmids will start at 11:00A.M., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 P.M. Hadmid say he has to be at the field at 9:45 A.M is hadmid correct? Explain your answer.
Answers
A pizza has a circumference of 16 pie and the slices are cut at 24 degree angles.
a. What is the length of the crust of one slice of pizza?
b. What is the area of one slice?
c. If the radius was doubled what would be the area of one slice of te similar pizza?
Answers
-2x+4y=-8 which graph models the equation
Answers
First you have to get the equation into slope-intercept form
Slope-intercept form is y = mx + b
-2x + 4y = -8
Add 2x to both sides
4y = 2x - 8
Divide both sides by 4
y = 1/2 x - 2
The graph is a line that goes through the points (0, -2), (-2, -3), (2, -1) and
(4, 0)
Hope this helps!
The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?
Answers
[tex] \frac{108 - 34 - 34}{2} [/tex]
= 20 inches
In a rectangle, there are 2 similar length measurements & 2 similar width measurements
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
Answers
DH = HF and GH = HE
x + 5 = 2y
3x - 1 = 5y + 4
Solve the first equation for x.
x = 2y - 5
Now substitute 2y - 5 for x in the second equation.
3(2y - 5) - 1 = 5y + 4
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute 20 for y in the first original equation.
x + 5 = 2y
x + 5 = 2(20)
x + 5 = 40
x = 35
Answer: x = 35 and y = 20
The values of x and y in parallelogram DEFG are:
x = 35y = 20Given:
DH = HF and GH = HE
We have the following equations according to the given condition.
x + 5 = 2y ...(1)
3x - 1 = 5y + 4 ...(2)
From equation (1), we can express x in terms of y:
x = 2y - 5 ...(3)
Substitute this value of x in equation (2):
3(2y - 5) - 1 = 5y + 4
Simplify and solve for y:
6y - 15 - 1 = 5y + 4
6y - 16 = 5y + 4
y = 20
Now substitute y = 20 in equation (3) to find x:
x = 2(20) - 5
x = 40 - 5
x = 35
Therefore, the values of x and y in parallelogram DEFG are:
x = 35
y = 20
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Mike is going to a ball game on saturday. he will pay $8.00 admission, plus $1.50 per item he buys at the concession stand. which of the equations represents this information?
Answers
x: number of items that he buys at the concession stand
y: total payment
We now write the equation that represents this problem.
We have then:
y = 1.50x + 8
Answer:
An equation that represents this information is:
y = 1.50x + 8
The equation that represents this information will be y = 1.5x + 8.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mike is going to a ball game on Saturday.
He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.
Let x be the number of items and y be the total cost.
Then we have
y = 1.5x + 8
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please help but only answer if you're going to show work please!!!!
Answers
4[3(-2) - 6]
---------------
1 + (-2)
4[-6 - 6]
= ---------------
-1
4[-12]
= ---------------
-1
-48
= ----------
-1
= 48
1. You have the following expression given in the problem above:
4(3h-6)/(1+h)
2. Then, if h is h=-2, you have to substitute this value into the expression given above, as below:
4(3h-6)/(1+h)
4(3(-2)-6)/(1+(-2))
3. Then, you have
4(-6-6)/(1-2)
4(-12)/-1
-48/-1
48
A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?
Answers
Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another two hours the Jets are 2500 miles apart find the speed of the jet
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20 POINTS!
Find P(4).
I don't know or understand how to do this.
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The calculated value of the probability of 4
How to determine the probability of 4From the question, we have the following parameters that can be used in our computation:
The spinner
Where, we have
Sections = 8
Also, we have
Sections that read 4 = 1
Using the above as a guide, we have the following:
P(4) = 1/8
Hence, the probability of 4 is 1/8
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1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?
2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?
Answers
Since AB + BC = AC
Then
-12x + 11 - 8x -4 = 127
-20x + 7 = 127
X = -6
Ab would then equal 83
What is 5.1 x 10^-1 as an ordinary number?
Answers
so its 5.1 * 0.1 = 0.51
Answer:
0.51
Step-by-step explanation:
10^1=divide by 10
5.1/10=0.51
Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?
Answers
Between E and S there are 90°
Between South and S12°W there 12°
Applying cosine rule
Another way is to measure all angles clockwise from north (called azimuth) The ship at S12°W is at 180+12 = 192°
The ship at N75°E is at 75°
Angle between them is 192-75 = 117°
Applying cosine rule:
c=√(36²+24²-2×36×24cos117)
c=√2656.496
c=51.54 mi
How can operations of polynomials be used to create new polynomial models? Provide real world examples of when it is necessary to add, subtract, multiply, or compose polynomials to get a new polynomial that model real situations.
Answers
Answer with explanation:
When we add, subtract or multiply or in some cases division is done between two or more Polynomials then we can get new polynomials.
This can be explained in following way
[tex]1.\rightarrow (x^3+x^2+3x+4) +(x^4+5x+6)\\\\=x^4+x^3+x^2+8x+10\\\\2.\rightarrow (x^3+x^2+3x+4) -(x^4+5x+6)\\\\=-x^4+x^3+x^2-2x-2\\\\3.\rightarrow (x+2)\times x^2\\\\=x^3+2x^2\\\\4.\rightarrow \frac{x^3+2x^2}{x}\\\\\rightarrow x^2+2x[/tex]
Real world Situation
There is a large enclosed room .We want to place bulbs in ceiling.To do that,we draw few straight lines that is Linear polynomial columnwise and then we have drawn Linear polynomial Row wise.The point of intersection of these lines gives the points where the bulbs should be fixed.Now ,if we join these points where the bulb is placed we will get a new polynomial.
the perimeter of a rectangular parking lot is 190 meters. the width is one fourth the length. write a system of equation for this scenario
Answers
You can make 2 equations based on what you know
2l + 2w = 190
w = 0.25l
Put w into the first equation
2l + 2(0.25l) = 190
Distribute the 2
2l + 0.5l = 190
Combine like terms
2.5l = 190
Divide both sides by 2.5
l = 76
Put l into the second equation
w = 0.25(76)
Multiply
w = 19
The length is 76 and the width is 19
The answer is
2l + 2w =190
w = 0.25l
Hope this helps!
Final answer:
To write a system of equations for the scenario, assign variables to the length and width of the rectangular parking lot. Use the information given to create two equations.
Explanation:
To write a system of equations for this scenario, let's start by assigning variables to the length and width of the rectangular parking lot. Let's say the length is represented by 'L' and the width is represented by 'W'. According to the given information, the width is one fourth the length, so we can write the equation:
W = (1/4)L
The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter is given as 190 meters, so we can write the equation:
2L + 2W = 190
Now we have a system of equations:
W = (1/4)L
2L + 2W = 190
These are the equations that represent the given scenario.
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
Answers
The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius
From the question , we have been given (h,k) = (2,-5) and r =12
(x-2)^2 + (y-(-5))^2 = 12^2
The two minuses in the second term cancel out and give a plus. (-*- = +)
(x-2)^2 + (y+5)^2 = 144
So, the equation of the circle is:
(x-2)^2 + (y+5)^2 = 144 (Option A)
L'shanda can choose between 3 sweaters and 4 skirts. if she selects 1 sweater and 1 skirt, how many possible outcomes are in the sample space answer
Answers
We have been given that L'shanda can choose between 3 sweaters and 4 skirts.
We need to figure out the number of ways in which L'shanda can pick 1 sweater and 1 skirt out of the available items.
We need to use combinations here. First of all, we will figure out the number of ways of choosing 1 sweater out of 3 available sweaters. And then we will determine the number of ways of choosing 1 skirt out of 4 available skirts.
Number of ways of choosing 1 sweater = [tex]_{1}^{3}\textrm{C}=\frac{3!}{2!1!}=\frac{3\cdot 2!}{2!} = 3[/tex]
Number of ways of choosing 1 skirt = [tex]_{1}^{4}\textrm{C}=\frac{4!}{3!1!}=\frac{4\cdot 3!}{3!} = 4[/tex]
Therefore, total number of ways to select 1 sweater and 1 skirt are [tex]3\cdot 4 = 12[/tex]