Answer:
(x-7)²+(y+24)² = 625
Step-by-step explanation:
A circle with center (h, k) and radius r can be represented as
(x-h)²+(y-k)² = r²
We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.
The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.
Our distance between (7, -24) and the origin is
√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)
= √625
= 25
Therefore, the radius is 25 and our equation is
(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625
Simplify the variable expression by evaluating its numerical part.
p-7+56 - 12
A. p + 51
B. p+37
O c. p-51
D. p + 49
not sure if this makes sense to you guys but if you can help that'd be great. 15 points(all i have left) due today. thank you!!
Answer:
The graph that have 2 lines is for Question 21 and the graph with three lines is for Question 22
Step-by-step explanation:
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?
Answer:
Ishaan is currently 15 years old.
Step-by-step explanation:
Let B represent Ben's current age and I represent Ishann's current age.
Ben is four times as old as Ishaan. In other words:
[tex]B=4I[/tex]
Six years ago, Ben was six times as old as Ishaan. In other words:
[tex]B-6=6(I-6)[/tex]
Solve for I. Substitute:
[tex](4I)-6=6(I-6)[/tex]
Distribute:
[tex]4I-6=6I-36[/tex]
Subtract 4I from both sides and add 36 to both sides:
[tex]2I=30[/tex]
And divide both sides by two. Hence:
[tex]I=15[/tex]
Ishaan is currently 15 years old.
Answer:
Age of Ishaan = 15 years
Step-by-step explanation:
Let Ishaan's age = x years
Age of Ben = 4 * x = 4x years
6Years ago:
Age of Ishaan = x - 6
Age of Ben = 4x - 6
6 years ago, Ben was 6 times as old as Ishaan
So, Age of Ben = 6 * Ishaan's age
4x - 6 = 6 *(x-6)
4x - 6 = 6x - 36
Add 36 to both sides
4x - 6 + 36 = 6x
4x + 30 = 6x
Subtract '4x' from both sides
30 = 6x - 4x
30 = 2x
2x = 30
Divide both by 2 sides
x = 30/2
x = 15
what is the formula to calculate VAT percentage
Answer:
Take the gross amount of any sum (items you sell or buy) – that is, the total including any VAT – and divide it by 117.5, if the VAT rate is 17.5 per cent. (If the rate is different, add 100 to the VAT percentage rate and divide by that number.)
Answer:
divide by 117.5 if the rate different, add 100 to the percentage and divide by the number therefore multiply by 100 to get the total
Step-by-step explanation:
the formula to calculate vat percentage
Dan invests £18790 into his bank account. He receives 5.9% per year simple interest. How
much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Answer: £21007.22
Step-by-step explanation:
First, find the interest amount using the formula SI = (P × R × T) / 100.
SI = interest amount P = principle amount = £18790R = interest rate(in percentage) = 5.9T = time(in years) = 2SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22
The total amount = principle amount + interest amount
= £18790 + £2217.22 = £21007.22
sipho made a 12.5% when he sold a coat for E437.50 .calculate original cost of the coat
Answer:
E500
Step-by-step explanation:
Given x the original price of the coat
437.5 + 0.125x = x
437.5 = 0.875x
x = E500
Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
A graph of the image of ABC under a dilation whose center is P and scale factor is 1/3 is shown in the image below.
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric shape, but not its shape. This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.
In this exercise, we would use an online graphing calculator to plot the image of ABC after a dilation by a scale factor of 1/3 centered at P.
Based on the image (see attachment), we can logically deduce that each vertex is 1/3 times as far from center P as the original vertex and each segment is 1/3 times as long as the original:
AC = 6.7/3 = 2.2
AB = 12.4/3 = 4.1
CB = 12.7/3 = 4.2
Read more on dilation here: brainly.com/question/20482938
#SPJ1
helpppp question on the image.
Answer:
10 the next day
Step-by-step explanation:
Using the least common multiple
3, 6, 8
The least common multiple is 24
24 hours from 10 the next day
Study the diagram of circle C, where two chords, AB¯¯¯¯¯¯¯¯ and DE¯¯¯¯¯¯¯¯, are equidistant from the center.
The diagram as described in the problem.
If AB=3x−7, and DE=5(x−5), what is the length of AB¯¯¯¯¯¯¯¯?
Enter the correct value.
Answer:
Step-by-step explanation:
If AB and DE are equidistant from the center, that means that they are the same length. We set the equations equal to one another and solve for x:
3x - 7 = 5(x - 5) and
3x - 7 = 5x - 25 and
18 = 2x so
x = 9. Now we sub that into the expression for AB (or DE since they're the same length):
3(9) - 7 = 20
Both AB and DE measure 20 units.
How do you solve this problem?
9514 1404 393
Answer:
-19.2
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}[/tex]
What is an equation of the line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
Enter your equation in the box.
If you help me thank you so much <333
2x + y = -4
slope = -2
perpendicular slope = 1/2
new equation = x - 2y = x
(1) (2)= 2
(-2) (-8)=16
2+16 =18
new equation = x - 2y = 18
in a group of 300 mice, 75% are male and 20% are albino. What is the greatest number of mice in the group that could be both female and not albino?
a) 45
b)60
c)75
d)225
The puppy needs to catch a train that is moving at 8km/hr. she is 100 meters away and running at 10km/hr. How far will the train have traveled before the puppy is able to jump on?
The rabbit will jump on the train after the train moves 0.4km
The given parameters are:
[tex]d = 100m[/tex] -- distance between the puppy and the train
[tex]s_1 = 8km/hr[/tex] -- the speed of the train
[tex]s_2 = 10km/hr[/tex] --- the puppy's speed
Required
The distance where the puppy catch up with the train
First, we calculate the relative speed (rs) of the puppy to the train
[tex]rs =s_2 - s_1[/tex]
[tex]rs =10km/hr - 8km/hr[/tex]
[tex]rs =2km/hr[/tex]
Calculate the time to catch up with the train using:
[tex]Time = \frac{Distance}{Speed}[/tex]
[tex]t = \frac{100m}{2km/hr}[/tex]
Convert km to m
[tex]t = \frac{100m}{2*1000m/hr}[/tex]
[tex]t = \frac{100m}{2000m/hr}[/tex]
[tex]t = 0.05hr[/tex]
Calculate the distance to catch up with the train using:
[tex]Distance = Speed * Time[/tex]
[tex]d= s_2* t[/tex] --- speed of the train multiplied by the time
So, we have:
[tex]d = 8km/hr * 0.05hr[/tex]
[tex]d = 8km * 0.05[/tex]
[tex]d = 0.4km[/tex]
Read more at:
https://brainly.com/question/14667411
Yeah i don't know how to answer this....
Christine said that y =√16x is a horizontal stretch by a factor of 1/16. Amanda said that it is a vertical stretch by a factor of 4. Who is correct and why?
Answer:
y = [tex]\sqrt{16}[/tex] x
that is equal to y = 4x
[tex]\sqrt{16}[/tex] = 4
when graphing (x,y) the x is the horizontal value of the point (east west)
and the y in the vertical (north south) ....
if you have y = x it would be a 45 degree line that goes from the lower left to the upper right....
if you compare the red line the point 1,1 (y=x) versus 1,4 (y=4x) in the blue line you will see that it is "stretched" upward
Step-by-step explanation:
(6.6 x 10{-2}) (3.3 x 10{-4})
Answer:
17424
Step-by-step explanation:
(6.6 x 10(-2) ( 3.3 x 10(-4))
(6.6 x - 20) ( 3.3 x -40)
(-132) (-132)
=17424
the length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm
!!no links!!
Answer:
[tex]4+2\sqrt{31}\text{ by } -4+2\sqrt{31}[/tex]
Or about 15.136 centimeters by 7.136 centimeters.
Step-by-step explanation:
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Where w is the width and l is the length.
We are given that the length is 8 centimeters longer than the width. In other words:
[tex]\ell = w+8[/tex]
And we are also given that the total area is 108 square centimeters.
Thus, substitute:
[tex](108)=w(w+8)[/tex]
Solve for w. Distribute:
[tex]w^2+8w=108[/tex]
Subtract 108 from both sides:
[tex]w^2+8w-108=0[/tex]
Since the equation is not factorable, we can use the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}[/tex]
So, our two solutions are:
[tex]w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136[/tex]
Since width cannot be negative, we can eliminate the second solution.
And since the length is eight centimeters longer than the width, the length is:
[tex]\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136[/tex]
So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.
Use the comparison test to determine if the series is convergent or divergent. 6/3+6/9+6/27+...
a. convergent
b. divergent
What type of line is PQ¯¯¯¯¯¯¯¯?
A. median
B. angle bisector
C. side bisector
D. altitude
Answer:
angle bisector
Step-by-step explanation:
Since the line divided the top angle into two equal pieces we call this an angle bisector.
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) Is located 5units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
What is the solution to the inequality?
-x/4 < 6
O A. x<-24
O B. x<-2
O C. x>-24
O D. x>-2
Answer:
x > -24
Step-by-step explanation:
-x/4 < 6
Multiply each side by -4, remembering to flip the inequality
-x/4 *-4> 6*-4
x > -24
[tex]\boxed{\large{\bold{\red{ANSWER~:) }}}}[/tex]
x>-24Step-by-step explanation:[tex]\sf{\dfrac{-x}{4}<6 }[/tex] [tex]\sf{\dfrac{-x}{4}×(-4)>6×(-4) }[/tex] [tex]\sf{ x>-24 }[/tex][tex]\bold{ Note - }[/tex]
By multiply negetive number,we need to change the side of the inequality.Find the angles of 22 and 24 thanks
Answer:
22) 119
24) 15
Step-by-step explanation:
22) 61 + b = 180 <-- supplementary because on the same line
b = 119 <-- subtracted 61 from both sides
24) 87 + (6x + 3) = 180 <-- supplementary because on the same line
87 + 6x + 3 = 180 <-- take out parantheses
90 + 6x = 180 <-- add like terms
6x = 90 <-- subtracted 90 from both sides
x = 15 <-- solve for x by dividing 6 from both sides
Anual is a word-processor operator. He makes N$12, 50 an hour. Determine his earnings for a week if he works for 48 hours.
Answer: $600
Step-by-step explanation:
Given
Anual makes [tex]\$12.50[/tex] an hour
For 48 hours, he makes
[tex]\Rightarrow 48\times 12.5\\\Rightarrow \$600[/tex]
Thus, he will make $600 for 48 hours
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball
Answer:
7/12
Step-by-step explanation:
10 white balls and 14 red balls = 24 balls
P( red) = number of red balls / total balls
=14/24
=7/12
Hi anyone can help me do question 9&10.I will mark brainlest.
The reliability coefficient of scores in an end of semester examination. If the variance of the exam score is 100. What is the standard error of measurement ?
Answer:
I Will explained you youuuuuu<uuuuuuuuuu
Solve the following system.
y=(1)x2 + 2x - 1 and 3x-y=1
The solutions are
Jand
(remember to include the commas)
Zoe and Hanna share tips in the ratio 3:7
Last week Zoe received £24
How much did Hanna receive last week?
Answer:
56
Step-by-step explanation:
Zoe : hanna
3 7
Zoe got 24
3*8 = 24
so multiply each side by 8
Zoe : hanna
3*8 7*8
24 56
Hanna got 56
Can someone help me with this math homework please!
Answer:
0
Step-by-step explanation:
LN is an horizontal segment. it means that the line is parallel to x axis so its slope is 0
PLEASE HELP solve step by step
Answer:
-3y/x^2
Step-by-step explanation:
-5/15 = -3
When dividing variables with powers, subtract the powers.
x^2 - x^4 = x^-2
y^3 - y^2 = y
z^4 - z^4 = 0
therefore we have -3 x^-2 y
Since we can't have negative powers, divide (move the x^-2 to the bottom and make positive)
-3y / x^2
Hope this helps! Let me know if I am wrong ^w^
Answer:
- y/3x^2
Step-by-step explanation:
The negative sign goes between y and 3x^2
4 raised to power two minus 8u minus 9=0
Answer: u = [tex]\frac{7}{8}[/tex] or 0.875
Step-by-step explanation:
Let us convert this statement to a question
[tex]4^{2}[/tex]-8u-9 = 0
16-8u-9 = 0
-8u = 0+9-16
-8u = -7
u = -7 ÷ -8
u = [tex]\frac{7}{8}[/tex] or 0.875
