Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4
Answer:
(-4) ^6
Step-by-step explanation:
(-4)*(-4)*(-4)*(-4)*(-4)*(-4)
There are six (-4)'s multiplied together
(-4) is the base and 6 is the exponent
(-4) ^6
HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
Find the first principle, the derivatives of: (any one)
[tex]1 \sqrt{x} [/tex]
Write the number 2.4 in the form
A/B, using integers,
Answer:
[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]Step-by-step explanation:
Convert to simplified fraction:
Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Convert to Mixed fraction:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.
[tex]2 \frac{4}{10} [/tex]
Reduce the fractional part of the mixed number.
[tex]2 \frac{2}{5} [/tex]
Hope it is helpful...7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
factorise fully 16c^4p^2+20cp^3
Answer:
4cp^2 ( 4c^3+5p
Step-by-step explanation:
See image below:)
The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]
Factorization:Given the expression 16c^4p^2+20cp^3
Get the factor for each term
[tex]16c^4p^2 = 4 * 4 * c^3 * c * p^2 \\20cp^3= 4 * 5 * c * p^2 * p[/tex]From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:
[tex]4cp^2 (4c^3+5p)[/tex]
Learn more on factored form here: https://brainly.com/question/25948667
Please help me with these questions
Answer:
okay the first questions answer is ,c,is true and rest of them are false
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]
From the directrix to the pole, the distance p = 1
So;
[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]
[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]
2.
[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]
What is h(−8) for h(x)=1/4x^2+7x?
Answer:
h(-8) = -40
Step-by-step explanation:
Find h(-8) by plugging in -8 as x:
h(x) = 1/4x² + 7x
h(-8) = 1/4(-8)² + 7(-8)
Simplify:
h(-8) = 1/4(64) - 56
h(-8) = 16 - 56
h(-8) = -40
So, the answer is h(-8) = -40
The value of h(-8) is -40.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given:
h(x)=1/4x²+7x
h(-8)= 1/4* 64+7*(-8)
= 16-56
= -40
Hence, h(-8)=-40.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
#SPJ2
If the first hill is 20 cm high, the second hill is 0 cm high, and the last hill is 0 cm high, how long does it take the 50 g car to reach the egg?
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
What number must you add to complete the square? x^2+26x=23
Answer:
169
Step-by-step explanation:
x²+26x=23
=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²
<=> x² +26x + 13² = 23 + 13²
<=> x² +26x +169 = 23 + 169
<=> (x+13)² = 192
so, (x+13)² is the square form , and 169 must be added to complete the square
For 2ab to complete in (a+b)² formula
2ab=26a=1
2b=26b=13b²=169So 169 must be added
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?
Answer:
I am pretty sure its 30 students
which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3
Answer:
2 and 3
Step-by-step explanation:
Given the set (2, 3, 4, 5,) and inequality 19- 4x>3
To obtain which number gives a solution, we test each value in the set ;
19- 4x>3
For x = 2
19- 4(2)>3
19 - 8 > 3
11 > 3 (true)
x = 3
19- 4(3)>3
19 - 12 > 3
7 > 3 (true)
For x = 4
19- 4(4)>3
19 - 16 > 3
3 > 3 (false )
For x = 5
19- 4(5)>3
19 - 20> 3
-1 > 3 (false)
Jun 07, 9:22:26 AM
+
Write a sine function that has an
amplitude of 2, a midline of 3 and a period of 3/2.
Answer:
[tex]\displaystyle y = 2sin\:1\frac{1}{3}\pi{x} + 3[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{3}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:1\frac{1}{3}\pi{x} + 3,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{3}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{3}{8}} = \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
A student solves for v
Which statement explains how to correct the error that was made?
The subtraction property of equality should have been applied to move m to the other side of the equation.
O The multiplication property of equality should have been applied before the division property of equality.
The division property of equality should have been applied to move the fraction to the other side of the equation.
The square root property should have been applied to both complete sides of the equation instead of to select variables.
Answer:
D (The square root property should have been applied to both complete sides of the equation instead of to select variables)
Step-by-step explanation:
On edge 2021
What is the height of a rectangular prism, if the volume is 750 cm, the length 25 cm, and the width is 5 cm?
Answer:
6 cm
Step-by-step explanation:
Volume of a prism= Length X Width x height
750 = 25 x 5 x h
750= 125h
750/125 = 125h/125
h= 6
Answered by Gauthmath
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.
1.-6
2.6
3.-2
4.2
Answer:
1. -6
Step-by-step explanation:
a1 = 150
a2 = a1 - 4 = 150 - 4 = 146
a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142
...
=>
an = a1 - (n-1)×4
=>
a40 = a1 - 39×4 = 150 - 156 = -6
A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.
Answer:
402 cm
Step-by-step explanation:
Given :
Radius = 4 cm
The Circumference of a circle :
C = 2πr
C = 2 * π * 4 = 8π
Spool is spun 16 times :
Circumference * 16
8π * 16
8 * 3.14 * 16
= 401.92
= 402 cm
Answer:
402 cm
Step-by-step explanation:
