Answer:
The formula is: [tex](x+2)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
Recall the formula for the equation of a circle with center at the point [tex](x_0,y_0)[/tex]of radius "R' as:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
Therefore for your case, the formula becomes:
[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-(-2))^2+(y-3)^2=5^2\\(x+2)^2+(y-3)^2=25[/tex]
which image shows -1 7/8 on a number line
Answer:
C
Step-by-step explanation:
C goes past -1 and almost reaches -2 so you know it will include some sort of fraction.
If you count the tick marks, C is on the 7th tick mark which is the one before -2. This represents 7/8 because 8/8 would be right on -2.
So, C shows -1 and 7/8
Write and solve an equation to represent the following situation: an electrician earns an hourly wage of $13.50 plus a $75 bonus. If he made $149.25, how many hours, h, did he work?
At my friend’s middle school the ratio of teachers to students is 1:9. If there are 45 teachers at the school, how many students are there? Show your work or explain how you determine your answer.
Write a literal/explicit equation to model the situation above. Where Y is the number of students and X the number of teachers at the school
Answer:
405 students
Step-by-step explanation:
1=teachers
9=students
1=45 teachers
9=y students
y=9 x 45
y=405 students
what is the midpoint of the segment shown below?
Answer:
(5, 1/2)
Step-by-step explanation:
To find the midpoint
Take the sum of the x coordinates and divide by 2
(5+5)/2 = 10/2 = 5
Take the sum of the y coordinates and divide by 2
(4+-3)/2 = 1/2 = 1/2
The midpoint is ( 5, 1/2)
It is answer D
Its is exactly in between these to values
A line segment has endpoints at (4.-6) and (0,2).
What is the slope of the given line segment?
What is the midpoint of the given line segment?
What is the slope of the perpendicular bisector of the given line segment?
What is the equation, in slope-intercept form, of the perpendicular bisector?
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+6}{0-4}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2
---------------------------------------
Find the midpoint using the midpoint formula
M =( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
= [tex]\frac{4+0}{2}[/tex] , [tex]\frac{-6+2}{2}[/tex] ) = (2, - 2 )
-----------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
----------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y = [tex]\frac{1}{2}[/tex] x - 3 ← equation of perpendicular bisector
Answer:
-2(2, -2)1/2y= 1/2x - 3Step-by-step explanation:
Points given: (4, -6) and (0, 2)
Slope intercept form of the line going through the given pints:
y= mx+b
m= (y2-y1)/(x2-x1)= (2+6)/(0-4)= -2 slope is -2y= -2x+b ⇒ -6= -2*4+b ⇒ b= 8-6= 2 ⇒ y= -2x+2
Mid point= (x1+x2)/2, (y1+y2)/2= (4+0)/2, (-6+2)/2= (2, -2)The slope of the perpendicular bisector is the negative reciprocal of the line segment which it is dividing:
m'= -1/m= -1/-2= 1/2Equation of perpendicular bisector:
y= 1/2x+bIt passes through the mid point: (2, -2), so
b= y - 1/2x= -2 - 1/2*2= -2 -1= -3So the equation of perpendicular line:
y= 1/2x - 3in a certain group of students, the probability of a randomly chosen students being male is 40%, the probability of the students studying in Spanish is 18%, and the probability of the student being male who study Spanish is 5%. What's the probability of the student studying Spanish, if you know the students male?
Divide the 5% of Spanish by 40% male:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
The answer is a. 12.5%
The probability of the student studying Spanish, if you know the students male will be 12.5%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that in a certain group of students, the probability of a randomly chosen student being male is 40%, the probability of the students studying Spanish is 18%, and the probability of the student being male who studies Spanish is 5%.
The probability of the student studying Spanish, if you know the student male will be calculated as below:-
Divide the 5% of Spanish by 40% of males:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
Therefore, the probability of the student studying Spanish, if you know the students male will be 12.5%.
To know more about probability follow
https://brainly.com/question/24756209
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The sum of the two numbers is 49 and the difference is 11. What are the numbers?
Answer:
30,19
Step-by-step explanation:
let the numbers be x and y,x>y
x+y=49
x-y=11
add
2x=60
x=60/2=30
30+y=49
y=49-30=19
Answer:
x = first number = 30 and y = second number = 19
Step-by-step explanation:
let the first number be x and second number be y.
According to the given information
The sum of the two numbers is 49
Here, we get the equation.
x + y = 49
Now, Similarly second given information
the difference is 11.
Here, we get the equation.
x - y = 11
Now,
Step 1:
Name the equations
x + y = 49 ...(1)
x - y = 11 ...(2)
Step 2:
Now,
From equation (1) we get,
x = 49 - y
Substitute the value of x = 49 - y in equation (2) we get,
x - y = 11
i.e.,
49 - y - y = 11
49 - 2y = 11
-2y + 49 = 11
2y - 49 = - 11
2y = 49 - 11
2y = 38
y = 38/2
y = 19
Step 3:
Now,
Put the value of y = 19 in equation (1), we get.
x + y = 49
i.e.,
x + 19 = 49
x = 49 - 19
x = 30
Thus, The value of x = first number = 30 and y = second number = 19
VERIFICATION:30 + 19 = 49
30 - 19 = 11
Simplify (4^3)^5
A.(1/4)^15
B.4^15
C.12^5
D.4^8
Answer:
4^15
Step-by-step explanation:
(4^3)^5
We know a^b^c = a^(b*c)
(4^3)^5 = 4^(3*5) = 4^15
Answer:
[tex] {4}^{15} [/tex]
Answer B is correct
Step-by-step explanation:
[tex]( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If 30% of a company's advertising budget is $7,200, then what is the full advertising budget?
Answer:
$24000
Step-by-step explanation:
Let the full advertising budget of the company be $x.
Therefore, 30% of x = $7,200
[tex]\frac{30}{100} \times x= 7200 \\\\x = \frac{100}{30} \times 7200\\\\x = 100 \times 240\\\\x = \$24000[/tex]
Hence, full advertising budget of the company is $24000.
The product of a number and its ___________ is
A).opposite
B)reciprocal
C)factor
D)quotient
Answer:
Most definitely reciprocal
•given ABCD is a kite, check every box that must be true
•use calculations and words to show this quadrilateral meets the definition of a kite
any help would be appreciated <3
Answer:
Step-by-step explanation:
A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.
The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:
1) two pairs of consecutive sides are congruent
2) The diagonals are perpendicular
3) The diagonals bisect each other.
Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)
[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]
AB=AD, BC = BC.
This is a kite since two pairs of consecutive sides are congruent
The sticker price is the price you must pay for the vehicle
True or False
it's true...........
Answer:
False
Step-by-step explanation:
Verified correct with test results.
Find the distance from point B to point C. Please help 25 points!!
Answer:
9.6 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan 58 = BC / 6
Multiply each side by 6
6 tan 58 = BC
9.602007174 =BC
Round to the nearest tenth
9.6 = BC
Answer:
BC= 9.6
Hope it helps :)
Jeremy’s bank account started at a balance of $124 this week. Since then, he wrote a check, which decreased his balance by $147. Jeremy was then charged an overdraft fee, decreasing his balance by $32. Finally, he deposited a paycheck, which increased his balance by $567. What is Jeremy’s ending balance after these transactions, in dollars?
Answer:
$512
Step-by-step explanation:
His bank account started at a balance of $124.
He wrote a check, which decreased his balance by $147. His new balance is:
124 - 147 = -$23
Jeremy was then charged an overdraft fee, decreasing his balance by $32. That is:
-23 - 32 = -$55
He deposited a paycheck, which increased his balance by $567. His account balance will become:
-55 + 567 = $512
His account balance after those transactions is $512.
This table shows the number of different sized pipes that have been used at Highfield Builders in January.
The pipes are grouped according to the size of their diameter.
January: Number of Pipes Used (by Grouped Size)
Diameter (cm)
35-39
40-44
45-49
50-54
55-59
Frequency
8
10
13
3
1
The manager thinks that the mean diameter of pipe used must be in the 45-49 cm group as this is the group
most used.
Is the manager correct?
Show your working out and write the answer in the box below.
(5 marks)
Answer:
No
Mean diameter = 44, which is in the 40 - 44 cm group
Step-by-step explanation:
Given the data:
Diameter (cm) - mid point(X) - frequency(F) - - FX
35-39 - - - - 37 - - - - 8 - - 296
40-44 - - - 42 - - - 10 - - - 420
45-49 - - - 47 - - - 13 - - - 611
50-54 - - - 52 - - - 3 - - - 156
55-59 - - - 57 - - - 1 - - - 57
Mean of grouped data:
Sum of (F × X) / sum of F
1540 / 35 = 44
La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximada de santo Dom. A Puerto Plata si X = 6 km?
Answer:
The distance when x = 6km is D = 498 KM
Step-by-step explanation:
Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km
What we do simply here is to substitute the value 6km as x in the equation
The equation is
D = 4x^3 - 10x^2 -6
Substituting x = 6, we have
D = 4(6^3) -10(6^2) -6
D = 864-360-6
D = 498 km
What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
Question:
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
Answer: 13 dollars per hour
Step-by-step explanation:
The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x2, y2)
Point b = (2, 26) = (x1, y1)
Calculating the gradient or slope :
Rate of change = (y2 - y1) / (x2 - x1)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
= 13 dollars per hour
Answer:
I think that the answer is D
What is the 9th square number.
if a certain number x is doubled, the result is less than or equal to 12. find the range of values of the number
Answer:
2x≤12
2x/2 ≤12/2
x≤6
therefore x=6
x+x
6+6=12
list the integers that satisfy both these inequalities 2x+9 0 x > -12 put the answer on the first line
Answer:
The Answer is 5
Step-by-step explanation:
Grace wanted to pick a card randomly from a regular deck of 52 cards. Fifty of the cards were regular playing
cards, and the rest of the cards were jokers. What is the probability that Grace picks a joker?
Answer:
2:52 or 1:26 (simplest form)probability.
Which number is less than 0.37? A. 0.72 B. 0.5 C. 0.35 D. 0.41
Answer:
0.35 is less than 0.37 because 35 < 37.
Answer:
C is the correct answer
Step-by-step explanation:
50a^3-18ab^2 guys plz factorise this for me
Answer:
2a(5a+3b)(5a−3b)
Step-by-step explanation:
Both terms have 2a, so take out the 2a and you will get your answer.
Answer:
2a(5a - 3b)(5a + 3b)
Step-by-step explanation:
50a³ - 18ab² = 2a(25a² - 9b²) = 2a(5a - 3b)(5a + 3b)
On Monday, Avi walked from his home to the school track and walked
4 laps around the track for a total of 3.5 miles. On Saturday, Avi ran from
his home to the school track, ran 2 laps, and then ran home for a total of
4 miles. Let x represent the distance from Avi’s home to the school track,
and let y represent the distance of one lap around the track.
1. Write a system of equations to represent this situation.
2. What is the distance from Avi’s home to the school track and around
the track?
3. On Saturday, Avi walked from his home to the school track, walked 6
times around the track, and then walked home. How far did he walk in all?
Avi knows that the distance from his home to the library and back is
at least 2.5 miles. He also knows that the distance from his home to
the library and then to the school track is less than 3 miles. Let p
represent the distance from Avi’s home to the library, and let q
represent the distance from the library to the school track.
4. Write a system of inequalities to represent this situation.
5. Can the distance from Avi’s home to the library be 2 miles and the
distance from the library to the school track be 1 mile?
9514 1404 393
Answer:
x+4y=3.5; 2x+2y=4x=1.5; y=0.56 miles2p≥2.5; p+q<3NoStep-by-step explanation:
1. x +4y = 3.5 . . . . variables are defined in the problem statement
2x +2y = 4
__
2. Subtract half the second equation from the first.
(x +4y) -(1/2)(2x +2y) = (3.5) -(1/2)(4)
3y = 1.5
y = 0.5
x = 2 -y = 1.5
The distance from home is 1.5 miles; the distance around the track is 0.5 miles.
__
3. 2x +6y = 2(1.5) +6(0.5) = 3+3 = 6
Avi walked 6 miles on Saturday.
__
4. 2p ≥ 2.5 . . . . variables are defined in the problem statement
p +q < 3
__
5. No.
2 + 1 < 3 is NOT TRUE
Please help! Correct answer only please! I need to finish this assignment by today.
The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 and the width is 7 in,
what is the length of the chalkboard?
A. 6.67 in
B. 9.33 in
C. 12 in
D. 14 in
Answer:
B
Step-by-step explanation:
If the ratio of the length of the chalkboard to the width is 4:3, this means that the length of this one is 7* 4/3=28/3. This can be rewritten as approximately 9.33 inches, or answer choice B. Hope this helps!
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Explain why you get 1 every time. I don't know why I end up with 1 every single time. Can someone help me please?
Answer:
Because the process by itself will force the numbers to be eventually reduced to an even number whose half is always another even number. For example, if you start taking the number 3, the result will be 10; then, the result of 10 will be 5; then, the result will be 16. When you get 16, the result will be 8, then 4, then 2 and finally 1.
Step-by-step explanation:
Plzz help!! Please explain.! Will choose BRAINLIEST!!!
Answer: 3
Step-by-step explanation:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.
Answer:
[tex]3[/tex]
Step-by-step explanation:
You can find the length by subtracting.
[tex]Q-P[/tex]
[tex]94-91[/tex]
[tex]=3[/tex]
You can also find the length by counting the units of the distance covered between the points.
what is the quotient of the rational expression below? 3x+1/x+8 ÷ x-7/5x
Answer:
8x^2 + 45/5x
Step-by-step explanation:
write the division as a fraction
3x+ 1/x + 8/x - 7/5x
using a=a/1, convert the expression into a fraction
3x/1 - 7/5x
calculate the product
3x/1 - 7x/5
expand the fraction to get the least common denominator
5 x 3x/ 5 x 1 - 7x/5
multiply the numbers
15x/5 - 7x/5
write all numerators above the common denominator
15x - 7x/5
collect like terms
8x/5
write the factor as a product
8/5 x + 1/x + 8/x
calculate the product
8x/5 + 5 x 1/5x + 5 x 8/5x
expand the fraction to get the least common denominator
X x 8x/X x 5 + 5/5x + 5 x 8/5x
multiply the numbers
X x 8x/X x 5 + 5/5x + 40/5x
calculate the product
8x^2/5x + 5/5x +40/5x
write all numerators above the common denominator
8x^2 + 5 + 40/5x
add the numbers and that's the answer
8x^2 + 45/5x
(that was l o n g)
If p=3(2q+r), express q in terms of p and r.
Answer:
[tex]q=\frac{1}{6}p- \frac{1}{2}r[/tex]
Step-by-step explanation:
[tex]p=3(2q+r)[/tex]
[tex]2q+r=\frac{p}{3}[/tex]
[tex]2q=\frac{p}{3} -r[/tex]
[tex]q=\frac{p}{6}- \frac{r}{2}[/tex]
can anyone answer this questionin 4 Step I'll mark that person has branily please
Answer:
[tex] - \frac{11}{28} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \bigg( - \frac{3}{7} \bigg) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5} \\ \\
= - \frac{6}{35} - \frac{3}{12} + \frac{1}{35} \\ \\
= \frac{1 - 6}{35} - \frac{1}{4} \\ \\
= \frac{ - 5}{35} - \frac{1}{4} \\ \\
= \frac{ - 1}{7} - \frac{1}{4} \\ \\
= \frac{ - 1\times 4-1\times 7}{7\times 4} \\\\
= \frac{ - 4- 7}{28} \\\\
= -\frac{ 11}{28} \\\\
[/tex]
