Answer:
Center : (2,-3)
Radius : sqrt(6)
Step-by-step explanation:
Rewrite this is standard form to find the center and radius.
(x-2)^2 + (y+3)^2 = 6
From this, we can determine that the center is (2,-3) and the radius is sqrt(6)
Answer:
center is (2,-3)
Radius =[tex]\sqrt{6}[/tex]
Step-by-step explanation:
[tex]2x^2-8x+2y^2+12y+14=0[/tex]
To find out the center and radius we write the given equation in
(x-h)^2 +(y-k)^2 = r^2 form
Apply completing the square method
[tex]2x^2-8x+2y^2+12y+14=0[/tex]
[tex](2x^2-8x)+(2y^2+12y)+14=0[/tex]
factor out 2 from each group
[tex]2(x^2-4x)+2(y^2+6y)+14=0[/tex]
Take half of coefficient of middle term of each group and square it
add and subtract the numbers
4/2= 2, 2^2 = 4
6/2= 3, 3^2 = 9
[tex]2(x^2-4x+4-4)+2(y^2+6y+9-9)+14=0[/tex]
now multiply -4 and -9 with 2 to take out from parenthesis
[tex]2(x^2-4x+4)+2(y^2+6y+9)+14-8-18=0[/tex]
[tex]2(x-2)^2 +2(y+3)^2 -12=0[/tex]
Divide whole equation by 2
[tex](x-2)^2 +(y+3)^2 -6=0[/tex]
Add 6 on both sides
[tex](x-2)^2 +(y+3)^2 -6=0[/tex]
now compare with equation
(x-h)^2 + (y-k)^2 = r^2
center is (h,k) and radius is r
center is (2,-3)
r^2 = 6
Radius =[tex]\sqrt{6}[/tex]
Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).
Answer: (2, -2)
To find the x coordinate of the midpoint: (-2+6)/2
To find the y coordinate of the midpoint: (5+(-9))/2
Answer:
The mid point is (2, -2).
Step-by-step explanation:
Since, the coordinates of mid point of a line segment having end points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are,
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Thus, the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) would be,
[tex](\frac{-2+6}{2}, \frac{5-9}{2})[/tex]
[tex](\frac{4}{2}, \frac{-4}{2})[/tex]
[tex](2, -2)[/tex]
can help me understand this?
Answer:
Its easy just fill in the blacks
Step-by-step explanation:
P1 is 5 P2 is 2 P3 is 4 and so on now the odd and even u add the odd number together and the even together like 2+2+1 (the even side) =5 so put 5 in the even and do the same thing to odd 5+4+6 = 15 and put 15 on odd #
Hope this helps!
How do I find the original price of an item from the tax rate and tax price?
Answer:
[tex]\boxed{\text{\$11 500}}[/tex]
Step-by-step explanation:
$1437.50 = 12.5 % of price
[tex]\text{Price} = \text{100 \%} \times \dfrac{\text{\$1437.50}}{\text{12.5 \%}} = \text \$11 500}[/tex]
The price of the motorcycle before tax was [tex]\boxed{\textbf{\$11 500}}[/tex]
If 10-2=33 , 37-23=83, 82-4=83, 55-7=32, then 76-45 ????
Answer:
i think value 35
Step-by-step explanation:
Identify the expression and the value equivalent to 4 times 3 cubed
Answer:
[tex]4 \times 3^{3}\\\\4\times3 \times3\times3\\\\108[/tex]
Step-by-step explanation:
Four times three cubed
Given the statement, times means multiplication.
four times three
4 x 3
It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.
4 x 3³
When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.
3³ = 3 x 3 x 3
So 4 x 3³ = 4 x 3 x 3 x 3
Lastly, if we get the product your result will be 108.
4 x 3 x 3 x 3
=4 x 27
= 108
The expression is 4 times 3 cubed. The value equivalent to 4 times 3 cubed is 108.
The expression is 4 times 3 cubed.
To find the value equivalent to 4 times 3 cubed, we need to calculate it.
3 cubed means 3 raised to the power of 3, which is 3 x 3 x 3 = 27.
So, the value equivalent to 4 times 3 cubed is 4 x 27 = 108.
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Please help me thank you
Answer:
a) is skewed right since there is more data on the right.
b)5 if there is 3 6's and 3 5's
c) if there are 13 digits in total it is 4.9
Step-by-step explanation:
In February, Alex has 1,518 visitors to his websit. In March, he had 1380 visitors to his website. What is the percent decreased of the number of visitors to Alec’s website from February to March ? If necessary, round to nearest tenth of a percent ???
Answer:
The percent decreased of the number of visitors to Alec’s website
from February to March is 9.1%
Step-by-step explanation:
* Lets talk about the percentage of increase and decrease
- Percent of Increase (Decrease) =
(amount of increase or decrease ÷ original amount) × 100%
- Increase {New amount > Original amount}
- Decrease {Original amount > New amount}
* Now lets solve the problem
- The number of visitors in February is 1518
- The number of visitors in March is 1380
- The number in March < the number in February
∴ The decreasing amount = 1518 - 1380 = 138 visitors
∵ The original number = 1518
∴ The percent decreased = (138 ÷ 1518) × 100% = 9.1%
* The percent decreased of the number of visitors to Alec’s website
from February to March is 9.1%
Which statement is true about these triangles?
Answer:
ΔADC ≅ ΔCBA by the SSS congruence postulate
Step-by-step explanation:
This is because of the following:
AD ≅ CB
DC≅AB
lastly, AC≅AC,
however ΔADC ≅ ΔABC by the SSS congruence postulate is also true since ΔABC and ΔCBA is just the same triangle. We can name our triangle in the both the same way.
The US Senate in Washington DC has 100 elected members last year 30 senators ran for re-election What decimal is equivalent to 30/100
Answer:
0.3
Step-by-step explanation:
30/10=3
100/10=10
That makes 3/10= 0.3
Answer:0.30
Step-by-step explanation:30 divided by 100 is 0.30
Are 3x and 3y like terms
Answer: No
Step-by-step explanation:
Like terms are when the variables of two numbers are the same so they would not be like terms.
Example:
5x+7y Are not like terms because they have different variables
but...
5x+7x Are like terms because they have the same variable(x).
No it’s is not because the variables of both the numbers has to be the same.
find the length of the missing side. if necessary, round to the nearest tenth.
A. 30
B. 15
C. 21.3
D. 7.7
Answer:
7.7
Step-by-step explanation:
16^2=14^2+b^2
b^2=60
b=7.7
solve f(t)=-16t^2+20t
Answer:
Step-by-step explanation:
Factor −16t2+20t
−16t2+20t
=4t(−4t+5)
Answer:
4t(−4t+5)
or
Let's simplify step-by-step.
−16t2+20t
There are no like terms.
Answer:
=−16t2+20t
The equation f(t)=-16t^2+20 when solved gave t = 0 and t = 1.25.
To solve the quadratic equation f(t)=-16t^2+20t, we first need to rearrange it into the standard form of a quadratic equation at^2 + bt + c = 0. We can simplify the original equation by dividing all terms by -4, which will reverse the signs:
4t^2 - 5t = 0
Now, this equation can be factored, giving us:
t(4t - 5) = 0
This means our equation has two possible solutions for when it equals zero:
t = 0 or 4t - 5 = 0
Solving the second part for t gives us t = 5/4 or 1.25.
Therefore, the equation f(t) = -16t^2 + 20t has two solutions for t: t = 0 and t = 1.25.
The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
If s is the side length, then the area of the square is
A = s^ = (6)^2 = 36
This is how you were expected to answer this question. However, the actual correct answer is 36 cm^2.
Answer:
36
Step-by-step explanation:
The tip of a solid metal cone was placed into a cube that has 10 inch edges, as shown.
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, what is the
radius of the base of the submerged portion of the cone?
Answer:
[tex]r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
Step-by-step explanation:
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.
Initially, 10 in by 10 in by 6 in:
[tex]V_{initial}=10\cdot 10\cdot 6=600\ in^2.[/tex]
At he end, 10 in by 10 in by 8 in:
[tex]V_{final}=10\cdot 10\cdot 8=800\ in^3.[/tex]
Thus,
[tex]V_{submerged \ cone}=800-600=200\ in^3.[/tex]
Use cone's volume formula
[tex]V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,[/tex]
where r is the radius of the cone's base, h is the height of the cone.
From the diagram, h=8 in, then
[tex]200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]
m u c h h e l p n e e d e d
Answer:
Statements 2 and 3 are true
Step-by-step explanation:
Reading from the table
When x = -4, y = -1 so statement 1 is false
When x = -1, y = -2.5 so statement 2 is true
When x = 0, y = -3 so statement 1 is true
When x = 2, y = -4 so statement 2 is false
Answer:
Statements 2 and 3 are true
Step-by-step explanation:
Reading from the table
When x = -4, y = -1 so statement 1 is false
When x = -1, y = -2.5 so statement 2 is true
When x = 0, y = -3 so statement 1 is true
When x = 2, y = -4 so statement 2 is false
What is the area of parallelogram ABCD
Answer:
20 square units
Step-by-step explanation:
You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.
*The reason you do this is because base×hieght=area
Answer:
20 square units
Step-by-step explanation:
Area of a parallelogram formula = base times height
To find the length of the base we take end points of the base and use distance formula
[tex]distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Two points are (1,0) and (5,0)
Distance = [tex]\sqrt{(5-1)^2+(0-0)^2}[/tex]
[tex]=\sqrt{4^2} =4[/tex]
Length of base = 4 units
Now we find out the height between B (1,0) and D (1,5)
Height =[tex]\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5[/tex]
Height = 5
Area of the parallelogram = base times height
= [tex]4 \cdot 5= 20[/tex]
So area = 20 square units
23.791 to nearest hundredth
Answer:
23.79
Step-by-step explanation:
one is less than 5 so you just drop it
Answer:
23.79
Step-by-step explanation:
In the number 23.791, the number place holding the 9 is the hundreth's place. Now look at the thousands place, the number place holding the 1.
If the number in the thousands place is 5-9, round up to 23.8
If the number in the thousands place is 1-4, round down to 23.79
Since 1 is smaller than 5, round doqn to 23.79
I hope this helps!
herman bought a sweater for $48.58 .There was a tax of $3.60 on the sweater . What was the total cost of the sweater?
Its rly easy 48.58+3.60=52.18
Loren compares the fractions 2/3 and 5/8 by first rewriting them using a common numerator. He does everything correctly. Which shows Loren’s comparison?
A. 5/6 > 5/8
B. 10/3 < 10/8
C 10/15 < 10/16
D 10/15 >10/16
Answer:
D 10/15 > 10/16
Step-by-step explanation:
The least common multiple of 2 and 5 is 10.
2/3 = 10/15
5/8 = 10/16
10/15 > 10/16
Answer: D.
Final answer:
When Loren compares 2/3 and 5/8 using a common numerator, he finds that by making both numerators 10 (10/15 and 10/16), 10/15 is less than 10/16, because the fraction with the larger denominator is the smaller fraction.
Explanation:
To compare the fractions 2/3 and 5/8 by rewriting them using a common numerator, Loren has to find a common multiplier for each numerator that would make them equal. He could multiply the numerators and denominators of both fractions by the other fraction's numerator. For 2/3, he would multiply by 5, and for 5/8, he would multiply by 2. This gives:
For 2/3: (2\*5)/(3\*5) = 10/15
For 5/8: (5\*2)/(8\*2) = 10/16
Now, Loren can compare the fractions easily since they have the same numerator:
Option C: 10/15 < 10/16
This is because, with the same numerator, the fraction with the larger denominator is the smaller fraction.
Need to find the surface area
Answer:
So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.
The surface area of these two sides should be:
A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)
Next, we need to find the area of the two triangles:
A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)
Lastly, we have the rectangular base:
A = wl = 10 · 12 = 120 (ft²)
All we need to do now is to add up all of our results:
A = 200 + 96 + 120 = 416 (ft²)
Two Pairs Of Jeans Cost $75 before tax. If the total paid for the two pairs of jeans with tax was $81, what is the percentage of tax paid? Show work please
Answer:
31%
Step-by-step explanation:
100- 75 = 25
25/81 = 0.308 = 31%
First, find what percentage of the total price the jeans are. Price of jeans divided by total cost paid
75/81=.9259 the jeans were 92.59% of the total cost; the rest is tax. So you subtract 92.59% from 100% (the total cost paid) and get 7.41% sales tax
For the lengths AB, BC, and AC to equal 9,7, and 16 respectively, what is the value of x?
The answer is:
The value of x is 3.9 units.
Why?From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)
So, writing the equation, we have:
[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]
Now, adding like terms, we have:
[tex]2x-3+(x+1)=9.7[/tex]
[tex]2x+x-3+1=9.7[/tex]
[tex]3x-2=9.7[/tex]
[tex]3x=9.7+2[/tex]
[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]
Hence, we have the value of x is 3.9 units.
Have a nice day!
Answer: the answer is 6.
Step-by-step explanation:
a p e x
The bear lake is 24 miles long. Suppose John starts cycling art one end at 20 m.p.h. and Ramona starts at the other end at 15 m.p.h. how long would it take them to meet?
Final answer:
John and Ramona are closing in on each other on a collision course with a combined speed of 35 mph over a distance of 24 miles. After doing the calculation, we find that it will take them approximately 41.14 minutes to meet.
Explanation:
To find out how long it will take John and Ramona to meet, we can assume they are moving towards each other on a collision course. We do this by adding their speeds together since they are moving in opposite directions. John cycles at a speed of 20 mph and Ramona cycles at 15 mph, so the combined speed at which they are closing in on each other is 20 mph + 15 mph = 35 mph.
The distance between them is 24 miles. To calculate the time it takes for them to meet, we divide the total distance by their combined speed:
Time = Distance / Speed
Time = 24 miles / 35 mph
Time = 0.6857 hours
Since time is often represented in minutes, we multiply the decimal by 60:
0.6857 hours * 60 minutes/hour = 41.14 minutes
Therefore, it would take approximately 41.14 minutes for John and Ramona to meet.
The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)? f(x) =_____ (4)x
Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),
Answer:
[tex]f (x) = -8(4x)[/tex]
Step-by-step explanation:
The transformation that reflects the function [tex]g(x)[/tex] on the axis is:
[tex]y = -g (x)[/tex].
Therefore if we have the function
[tex]g (x) = 8 (4x)[/tex] and we call [tex]f (x)[/tex] to the transformation that relieves g (x) on the x axis then:
[tex]f (x) = -g (x)\\\\f (x) = -8(4x)[/tex]
Finally the equation for f(x) es: [tex]f (x) = -8(4x)[/tex]
Which United States time zone has the earliest time? Eastern Central Mountain Pacific Alaska Aleutian/Hawaii
Answer: Alaska
Step-by-step explanation: Alaska has the Earliest United States Time Zone as from Earliest to latest Alaska is 2 PM. Pacific is 3 PM. Mountain is 4 PM. Central is 5 PM. Eastern is 6 PM. Therefore Aleutian/Hawaii is 7 PM. From West, headed East, Each time Zone bumps up 1 hour.
An entertainment website polled visitors who had read a specific book and also watched the movie based on the book to determine if they preferred the book or the movie adaptation. The two-way frequency table shows the results of the poll.
Answer:
B
Step-by-step explanation:
I. Number of men who liked both equally = 18
Number of men who preferred the movie = 35
18 < 35, so this option is false.
II. Number of men preferred the book = 56
Number of women preferred the book = 28
56 = 2 · 28, so this option is true.
III. Number of women preferred the book = 28
Number of women preferred the movie = 35
28 < 35, so this option is false.
IV. Number of men who preferred the movie = 35
Number of women who preferred the movie = 35
35 = 35, so this option is true.
True options II and IV.
Find the slope of the line (in the image I provided).
A) Slope = [tex]\frac{1}{6}[/tex]
B) Slope = 6
C) Slope = -[tex]\frac{1}{6}[/tex]
D) Slope = -6
Answer:
(D)
Step-by-step explanation:
Slope : ( y2 - y1 )/( x2 - x1)
slope : ( -2 - 4 )/( - 3 + 4)
slope: ( -6 )/( 1 )
slope : -6
Please help..thank you
Answer:
D
Step-by-step explanation:
To shift down:
F(x)-b
To shift up:
F(x)+b
To shift right:
F(x-b)
To shift left:
F(x+b)
ANSWER
D. The graph of G(x) is the graph of F(x) shifted 7 units down.
EXPLANATION
The given assumption is that:
G(x)= F(x)-7
This implies that, our parent function is F(X).
Since 7 is subtracted from F(x) to obtain the graph of G(x), it means that shifting the graph of F(x) down by 7 units gives us the graph of G(x).
D. The graph of G(x) is the graph of F(x) shifted 7 units down.
Can You Please Help Me.
Answer:
flip the > to a <
when it's negative always flip the sing
What’s the mean in 43,69,48,37,85,57,95,102
Answer:
67
Step-by-step explanation:
Total
= 43 + 69 + 48 + 37 + 85 + 57 + 95 + 102
= 536
Mean
= 536 ÷ 8
= 67
The mean of the given set of numbers is 67.
Explanation:The mean, also known as the average, is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set.
To find the mean of the set of numbers 43, 69, 48, 37, 85, 57, 95, and 102, you need to add all the numbers together and then divide the sum by the total number of values, which is 8.
43 + 69 + 48 + 37 + 85 + 57 + 95 + 102 = 536
536 ÷ 8 = 67
Therefore, the mean of the given set of numbers is 67.
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