Answer: r=√6 or r≈2.45.
Step-by-step explanation:
To find the radius, you first need to know the equation of a circle.
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Now that we know the equation of the circle, we can use it to find the radius of the given equation.
3.5(x+2.2)²+3.5(y-11.1)²-21=0
So far the equation looks pretty similar with the exception of the bolded areas. To get rid of them, we need to use our algebraic properties.
3.5(x+2.2)²+3.5(y-11.1)²-21=0 [add both sides by 21]
3.5(x+2.2)²+3.5(y-11.1)²=21 [factor out 3.5]
3.5((x+2.2)²+(y-11.1)²)=21 [divide both sides by 3.5]
(x+2.2)²+(y-11.1)²=6
Now, our equation is the same as the one posted above. You may think that 6 is our radius, but if you look closely, the equation is equal to r². Therefore, 6 is actually r², not r.
r²=6 [square root both sides]
r=√6
Finally, we have the final answer, r=√6 or r≈2.45.
5/4 * 6/7 Multiply. Write your answer as a fraction in simplest form. Thank you btw
Answer: 59/28
Step-by-step explanation: 59/28
match each statement to the reasons given for the geometric proof. Part 2
Answer: 5, 3, 2, 4, 1
Step-by-step explanation:
The proof should be written as follows:
Statement Reason
1. ABCD is a parallelogram 1. Given
2. AB||CD and AC||BD 2. Definition of a parallelogram
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
This is the order provided in your question:
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
2. AB||CD and AC||BD 2. Definition of a parallelogram
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
1. ABCD is a parallelogram 1. Given
Note: #2 & #4 might be reversed
What is 387.0642 rounded to the nearest hundredth
Answer:
387.06
Step-by-step explanation:
(0 to 5) = round down
(5 to 9) = round up
[tex]387.0642 \\ \: \: 1 \: 00[/tex]
Answer:
387
Step-by-step explanation:
387.0642 apprx. 387
0 is not equal to five nor is greater than.
Hope this helps ;) ❤❤❤
Determine whether the statement is true or false. 12∈{18,17,15,13,12}
Answer:
True
Step-by-step explanation:
12 is the last element of the given set. The statement that it is an element of the set is true.
Suppose you toss 6 coins. What is the probability that 3 of the coins are heads and 3 of the coins are tails
Answer:
12, either it will happen or it won't. It is true that each sequence of heads and tails is equally likely to occur – with probability 164, in this case. However, the number of those sequences having exactly three heads is not 32, but (63)=20, which leads to the correct answer of 516.
Step-by-step explanation:
Answer: 50%
Step-by-step explanation: Because the likelyhood would be as likely as not then that would be half of 100, or 50%
y ÷ 5 = 2/5 . Find the value of y.
Answer:
y=2
Step-by-step explanation:
[tex] \frac{y}{5} = \frac{2}{5} \\ = > y = \frac{2}{5} \times 5 \\ = > y = 2[/tex]
Answer: Y=2
Step-by-step explanation:slove for y by simplifying both sides of the equation, the isolating the variable.
if you apply the changes below to the quadratic parent function, f(x)=x2, what is the equation of the new function shift 3 units left vertically stretch by a factor of 4 reflect over the a axis
Answer: B. g(x) = –4(x – 3)2
Step-by-step explanation: To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
What is 2 ×2×6×6×9×0×6×9×4×6÷4+1-9
Answer:
-8
Step-by-step explanation:
just put in in a calculator
Step-by-step explanation:
2×2×6×6×9×0×6×9×4×6÷4+1-9= -8
its simple just calculate in a calculater....
Solve the compound - 20 ≤ 2x - 20 ≤ 10
Answer:
0≤ x ≤ 15
Step-by-step explanation:
- 20 ≤ 2x - 20 ≤ 10-20 + 20 ≤ 2x - 20 + 20 ≤ 10 + 20 ⇒ add 200 ≤ 2x ≤ 30 ⇒ divide by 20≤ x ≤ 15 ⇒ answeror x = [0,15]
How would you round 95687 to the nearest thousand?
Answer:
96,000
Step-by-step explanation:
To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.
If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units
Answer:
[tex] Volume = 12\sqrt{7} [/tex] cubic units
Step-by-step explanation:
Volume of the square pyramid is given as ⅓*area of base*height of pyramid.
Where,
Area of base = 6*6 = 36
Height of pyramid = altitude = [tex] \sqrt{7} [/tex] units
Plug the values into the formula to find volume.
[tex] Volume = \frac{1}{3}*36*\sqrt{7} [/tex]
[tex] Volume = 12*\sqrt{7} [/tex]
[tex] Volume = 12\sqrt{7} [/tex] cubic units
Find the indicated function for f(x) = x^2 + 3x -1 and g(x) = 3x . Question
1. (f +g) (x) =
Answer:
Step-by-step explanation:
x^2 + 3x - 1 + 3x
x^2 + 6x - 1 is the solution
Cheryl thinks that the
following expressions are
equivalent:
3x + 3 = 3 + 3x + 0
Is Cheryl right? If so,
prove that these two
expressions are
equivalent. If not, what
error(s) did Cheryl make?
Answer:
yes she is right
Step-by-step explanation:3x + 3 is the same as 3 + 3x.
the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.
i hope this helps you.
please help// geometry question... i will post the other picture for this question it will be under “geometry question pt.2”
Answer:
a) E
b) line segment AB
Step-by-step explanation:
a) E
b) line segment AB (It's AB with the line over it - no arrowheads)
Answer:
a)e
b)a
c)e
Step-by-step explanation:
A teacher gave his students the four graphs below. Which graph represents a geometric sequence?
Answer:
Graph A
Step-by-step explanation:
Answer:
The Answer is Graph A on Edge
Step-by-step explanation:
find the value of x and y if y-2x=3 and x+y=3
Answer:
x= 0 y = 3
Step-by-step explanation:
i hope it helped u!!
** uestion number 2
A hardware store buys a hammer at a cost of
$6.00. The selling price of the hammer is
$12.00
The amount of markup is - and the
percent of markup based on selling price
rounded to two decimal places is
Hint: Use the formulas: Markup Selling
Price - Cost, and
Percent of Markup based on a re
Selling Price
Answer:
12 - 6 = $6 markup
marked up 200% (i think) because it is sold at twice the amount of bought price
The set of numbers whose decimal representations are neither terminating nor repeating is called the set of
Answer:
its A
Step-by-step explanation:
Answer: terminating nor repeating
Step-by-step explanation:
The five number summary of a dataset was found to be: 45, 46, 51, 60, 66
An observation is considered an outlier if it is below:____________.
An observation is considered an outlier if it is above:____________.
Answer/Step-by-step explanation:
Given the five summary of a data set:
45 - min
46 - Q1
51 - Median
60 - Q3
66 - Max
Thus, any number less than [tex] Q_1 - (1.5*IQR) [/tex], or any number that is greater than [tex] Q_3 + (1.5*IQR) [/tex] would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 60 - 46 = 14
Thus,
[tex] Q_1 - (1.5*IQR) = 46 - (1.5*14) = 46 - 21 = 25 [/tex]
Therefore, an observation is considered an outlier if it is below: 25.
[tex] Q_3 + (1.5*IQR) = 60 + (1.5*14) = 60 + 21 = 81 [/tex]
Therefore, an observation is considered an outlier if it is above: 81.
you put $500 in your bank account. With a interest rate of 5%, how long will it take the account to reach $600?
Answer:
4 years hope this helps
Step-by-step explanation:
Answer:
4 Years
Step-by-step explanation:
t = I/Pr
Note the 600 is the total amount in the account.
Therefore Interest, I = 600 - 500 = 100.
t = 100 / (500 * 5%)
t = 100 / (500 *0.05)
t = 4
It will take 4 years.
The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classroom library , how many fiction books are there?
Answer:
16Step-by-step explanation:
Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.
First we will calculate the total number of books in the shelf;
3/5 * Total number of books = total non fiction books
3/5 * Total number of books = 24
3*Total number of books = 5*24
3*Total number of books = 120
Total number of books = 120/3
Total number of books = 40
Therefore there are 40 total of books on the shelf.
Total number of fiction books = 2/5 * 40
Total number of fiction books = 2* 8
Total number of fiction books = 16 books
Hence there are 16 fiction books on the shelf.
I need help PWEASEEEE
Answer:
B.
Step-by-step explanation:
From the number line, we can see that the blue line points to all values to the left of 5. This means all values less than 5.
Also, note that since the blue dot is closed, the inequality includes 5.
Therefore, the inequality that represents the graph is all values less than or equal to 5.
In notation, this is:
[tex]x\leq 5[/tex]
The answer is B
Answer:
your answer is B. [tex]x\leq 5[/tex]
Step-by-step explanation:
[tex]x\leq 5[/tex] means that your arrow should be point left which means less than the line under the less than means that the don´t should be shaded in
Explain the difference between (-5)2 and -52.
Answer:
(-5)2 would become -10, whereas -52 would just stay the same. Normally, a number next to parentheses without any other signs (+,-,×,÷) means that you multiply.
a swimming pool is 60m long and 25m wide. it is filled with water to a depth of 7m. find the volume of water in the pool
Answer:
10500 m³
Step-by-step explanation:
60 × 25 × 7 = 10500 m³
Simplify if possible
За2 + ба +2b2
What is the area of this figure? 15 yd 4 yd 7 yd 25 yd 21 yd 22 yd
Answer:
45
Step-by-step explanation:
The price for 2 student tickets and 4 adult tickets to a play is $50. Adult tickets are $5 more than student tickets. write an the equation
Answer:
2x + 4y = $50
x = $5, and y = $10
Step-by-step explanation:
let the price of student's ticket be represented by $x, and that of adult by $y. So that:
2x + 4y = $50 ................ 1
But, given that adult tickets are $5 more that student tickets.
i.e y = x + $5 ................. 2
Substitute equation 2 into 1, to have;
2x + 4(x + $5) = $50
2x + 4x + $20 = $50
6x = $30
x = $5
From equation 2,
y = 5 + 5
= $10
Therefore, the price of student tickets is $5 and adult tickets is $10.
Combining liked terms. Solve these, please. 1. -6k+7k 2. 12r-8-12 3. n-10+9n-3 4. -4x-10x
Answer: 1: k 2: 12r-20 3: 10n-13 4: -14x
Step-by-step explanation:
Find the equation of a Horizontal line containing the point (-1,3)
Answer:
y = 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
We know that a horizontal line has a slope of zero:
Slope m = 0
y = 0x + b
y = b
Since we are trying to find a line that fits with (-1, 3), we look solely at the y-value.
y = 3
We want to find the equation of a horizontal line such that it passes through a given point.
The answer is: y = 3
We know that the general form of a horizontal line is:
y = a
Where a is a real number.
Now, we also want that our line passes through the point (-1, 3).
Notice that the y-value of the point is 3, and in a horizontal line we can have only one value of y, so the horizontal line must be:
y = 3
The graph of the line and the point can be seen below
If you want to learn more you can read:
https://brainly.com/question/10863938
What is I need it fast 3/4x = -18
Answer:
x=-24
Step-by-step explanation:
i looked it up
Answer:
X = - 1
24
Step-by-step explanation:
Solution,
3/4x = -18
or, 3/4x = -18/1
or, 3*1 = 4x*(-18) [ cross multiplication ]
or, 3 = -72x
or, -72x = 3
or, x = 3/(-72)
or, x = - 1 [ Answer ]
24