Answer:
10
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let [tex](x_1,y_1)[/tex] = (-4, 2)
Let [tex](x_2,y_2)[/tex] = (2, -6)
Substituting given points into the formula:
[tex]\implies d=\sqrt{(2-(-4))^2+(-6-2)^2}[/tex]
[tex]\implies d=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]\implies d=\sqrt{36+64}[/tex]
[tex]\implies d=\sqrt{100}[/tex]
[tex]\implies d=10[/tex]
The difference of four times n and eleven is equal to fifteen less than two times n.
.
.
.
Question content area right
Part 1
Choose the correct equation below.
Answer:
4n - 11 = (15 - 2)n
Step-by-step explanation:
Using the keywords;
'Difference of'
'Equal to'
'Less than'
'Times', we can find the equation.
Let's piece it together:
Difference of; 4n(four times n) and 11
Equal to( = )
(15 - 2)n, which is 15 less than 2, multiplied by n
How many 10 rupees can be exchanged for ₹ 100?
Answer:
10 - 10 rupees note
Step-by-step explanation:
have a good day .please mark as brainiest
Need help !!! Which figures demonstrate a reflection ? Select each correct answer.
Answer:
4th one
Step-by-step explanation:
They are both L's on either side.
Answer:
Ánswer 4th one ..I think
In order to find the value of sin K in △JKL, which of the following ratios needs to be used?
A
JLJK
B
KLJL
C
JKKL
Answer:
Im pretty sure its B
Step-by-step explanation:
The ratio to be used to find sink is A. JL : JK
What is sine of an angle?The sine of an angle is the ratio of perpendicular to its hypotenuse.
Mathematically,
Sine of an angle = Perpendicluar/Hypotenuse
Now, it is given that a △JKL.
To find sine K we need to find the hypotenuse and Perpendicular of the triangle.
Since, Sine of an angle = Perpendicluar/Hypotenuse
So, sin K = Perpendicluar/Hypotenuse
Since K is the angle given so opposite of the angle K must be the perpendicular.
So, Perpendicular of the △JKL = JL
So, Hypotenuse of △JKL = JK or KL.
Since from the given option, it can be concluded that JK is the hypotenuse of △JKL.
Therefore, sin K = JL/JK
Thus, the ratio to be used to find sink is A. JL : JK
To learn more about ratio:
https://brainly.com/question/22285396
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Write each equation in slope-intercept form.
19. y - 4 = 3(x - 2)
20. y + 2 = -(x + 4)
21. y - 6 = -2(x + 2)
22. y + 1 = -5(x - 3)
23. y - 3 = 6(x - 1)
24. y - 8 = 3(x + 5)
Help me plz
Answer:
The picture is the answer. Hope it's all correct. Good luck
tracy needs 31.5 meters of wood for a porch railing. She has three pieces of Wood that are each 8 meters long and one piece that is 7 meters long. Does Tracy have enough wood for the porch railing?
The decimal computed shows that Tracy doesn't have enough for the construction.
How to calculate the length?From the information given, Tracy has three pieces of wood that are each 8 meters long and one piece that is 7 meters long. Therefore, the addition of the lengths will be:
= (3 × 8) + 7
= 24 + 7.
= 31m
Since Tracy needs 31.5 meters of wood for a porch railing, it shows that she doesn't have enough.
Learn more about decimal on:
https://brainly.com/question/1015576
1. Estelle went to the store and bought a box of crackers for $3.79 and a package of cheese for $4.59. About how much will this cost her?
Answer: It will cost Estelle roughly $8.86
Step-by-step explanation:
Which of the relations below is not a function?
Pleasure that’s for today
Thanks <3...
Answer:
C
Step-by-step explanation:
In the relation stated in C the x values repeat. This shows that each x value doesn't have its own y value. By the definition of functions, this means that C cannot be a function
Which of the following pairs of numbers has 16 as their greatest common factor?
A.32,48
B.32,62
C.48,36
D.42,16
[tex] \left \lgroup\displaystyle\rm \sum_{k=0}^{\infty}{1\over k!}\int_0^{\infty}{\cos(x)\over \displaystyle x^2+1}\text{d}x \over \displaystyle \rm \int_0^\infty{\sqrt{x}\over x^2+2x+5}dx \right \rgroup^{2} [/tex]
I use complex analysis to compute the integrals in question.
First, notice that the first integrand is even:
[tex]\dfrac{\cos(-x)}{(-x)^2+1}=\dfrac{\cos(x)}{x^2+1}[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\int_{-\infty}^\infty\frac{\cos(x)}{x^2+1}\,dx[/tex]
Consider a contour C that's the union of
• Γ, a semicircle of radius R in the upper half-plane, and
• the line segment connecting the points (-R, 0) and (R, 0)
On Γ, we have [tex]z=Re^{it}[/tex] with 0 ≤ t ≤ π.
Consider the complex function
[tex]f(z)=\dfrac{e^{iz}}{z^2+1}[/tex]
and notice that our original integrand is the real part of f(z). Then the integral of f(z) over C is
[tex]\displaystyle\int_Cf(z)\,dz=\lim_{R\to\infty}\left(\int_{-R}^Rf(z)\,dz+\int_\Gamma f(z)\,dz\right)[/tex]
As R → ∞, the first integral on the right is exactly twice the one we want. Estimate the second one to be bounded by
[tex]\displaystyle\left|\int_\Gamma f(z)\,dz\right|\le\pi R|f(z)|\le\frac{\pi R}{R^2-1}[/tex]
since
[tex]|z^2+1|\ge\bigg||z^2|-|-1|\bigg|=|R^2-1|[/tex]
and so the integral along Γ vanishes.
f(z) has only one pole in the interior of C at z = i. By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\,\mathrm{Res}\left(f(z),z=i\right)=2\pi i\lim_{z\to i}(z-i)f(z)=\frac\pi e[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\mathrm{Re}\left(\int_Cf(z)\,dz\right)=\frac\pi{2e}[/tex]
For the second integral, we recall that for complex z,
[tex]\sqrt z=\exp\left(\dfrac12\left(\ln|z|+i\arg(z)\right)\right)[/tex]
Consider a keyhole contour C, the union of
• [tex]\Gamma_R[/tex], the larger circle with radius R and [tex]z=Re^{it}[/tex], with 0 < t < 2π ;
• [tex]\Gamma_\varepsilon[/tex], the smaller circle with radius ε and [tex]z=\varepsilon e^{-it}[/tex], with 0 < t < 2π ;
• [tex]\ell_1[/tex], the line segment above the positive real axis joining [tex]\Gamma_\varepsilon[/tex] to [tex]\Gamma_R[/tex] ; and
• [tex]\ell_2[/tex], the other line segment below the positive real axis joining [tex]\Gamma_R[/tex] to [tex]\Gamma_\varepsilon[/tex]
Then
[tex]\displaystyle\int_Cf(z)\,dz=\int_{\Gamma_R}f(z)\,dz+\int_{\ell_1}f(z)\,dz+\int_{\Gamma_\varepsilon}f(z)\,dz+\int_{\ell_2}f(z)\,dz[/tex]
and in the limit, the integral over [tex]\ell_1[/tex] converges to the one we want.
Estimate the integrals over the circular arcs:
• [tex]\Gamma_R[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_R}f(z)\,dz\right|\le2\pi R|f(Re^{it})|\le\dfrac{2\pi R^{3/2}}{|R-\sqrt5|^2}\to0[/tex]
as R → ∞.
• [tex]\Gamma_\varepsilon[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_\varepsilon}f(z)\,dz\right|\le2\pi \varepsilon|f(\varepsilon e^{-it})|\le\dfrac{2\pi\varepsilon^{3/2}}{|\varepsilon-\sqrt5|^2}\to0[/tex]
as ε → 0.
Consider the integral over [tex]\ell_2[/tex] :
[tex]\displaystyle\int_{\ell_2}f(z)\,dz=\int_R^\varepsilon\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_R^\varepsilon\frac{\exp\left(\dfrac12\left(\ln|z|+2\pi i\right)\right)}{z^2+2z+5}\,dz\\\\=-\int_R^\varepsilon\frac{\exp\left(\dfrac12\ln|z|\right)}{z^2+2z+5}\,dz\\\\=\int_\varepsilon^R\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_{\ell_1}f(z)\,dz[/tex]
so in fact,
[tex]\displaystyle\int_Cf(z)\,dz=2\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx[/tex]
By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\sum_{\rm poles}\mathrm{Res}\,f(z)[/tex]
We have poles at z = -1 + 2i and z = -1 - 2i. On our chosen branch,
[tex]\sqrt{-1+2i}=i\sqrt[4]{5}\exp\left(-\dfrac i2\tan^{-1}(2)\right)[/tex]
[tex]\sqrt{-1-2i}=i\sqrt[4]{5}\exp\left(\dfrac i2\tan^{-1}(2)\right)[/tex]
The residues are
[tex]\mathrm{Res}(f(z),z=-1-2i)=\dfrac{i\sqrt[4]{5}\exp\left(\frac i2\tan^{-1}(2)\right)}{-4i}[/tex]
[tex]\mathrm{Res}(f(z),z=-1+2i)=\dfrac{i\sqrt[4]{5}\exp\left(-\frac i2\tan^{-1}(2)\right)}{4i}[/tex]
Their sum is
[tex]\displaystyle\sum_{\rm poles}\mathrm{Res}\,f(z)=-\frac{\sqrt[4]{5}}2\sin\left(\dfrac12\tan^{-1}(2)\right)=-\frac{\sqrt[4]{5}}2\sqrt{\frac{5-\sqrt5}{10}}=-\frac i2\sqrt{\frac1\phi}[/tex]
where ɸ = (√5 + 1)/2 is the golden ratio, and so the overall integral is
[tex]\displaystyle\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx=\frac\pi2\sqrt{\frac1\phi}[/tex]
Lastly, recall
[tex]\displaystyle\sum_{k=0}^\infty\frac1{k!}=e[/tex]
Then our expression reduces to
[tex]\left(\dfrac{e\times\frac\pi{2e}}{\frac\pi2\sqrt{\frac1\phi}}\right)^2=\boxed{\phi}[/tex]
Mrs. Williams is deciding between two field trips for her class. The Science Center
charges $114 plus $3 per student. The Dino Discovery Museum simply charges $6
per student. For how many students will the Science Center charge less than the
Dino Discovery Museum?
For more than
students.
HELP!!!!
Science Center: 114 + (3 * x)
Dino Museum: 6 * x
114+(3*x) = 6*x
114+(3*39) = 6*39
114+117 = 234
231 = 234
There needs to be at least 39 students for the science center to cost less than the dino discovery museum. Hope this helps! Please mark brainliest:)
Use completing the square to solve for x in the equation (x-12)(x+4)= 9
A) x=-1 or 15
B) x= 1 or 7
C) x=4+-sqrt41
D) x=4 +- sqrt73
Answer:
Step-by-step explanation:
Its The last one just took a test
What is the solution to this inequality?
x/9 + 7 ≥ 10
Answer:
x ≥ 27
Step-by-step explanation:
x/9 + 7 ≥ 10
Subtract 7 from each side
x/9 + 7-7 ≥ 10-7
x/9 ≥ 3
Multiply each side by 9
x/9 *9 ≥ 3*9
x ≥ 27
Answer:
X>27
Step-by-step explanation:
Your Welcome
apply the distributive property 3(7x+1)
Answer:
[tex]\displaystyle 3 + 21x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3[7x + 1] \hookrightarrow \boxed{21x + 3}[/tex]
I am joyous to assist you at any time.
One travels due south at an average speed of 58 miles per hour, and the other travels due north at an average speed of 49 miles per hour. After how many hours will the two trucks be 802.5 miles apart?
Answer:
424
Step-by-step explanation:
someone pls help me on my math
Answer:
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
Step-by-step explanation:
SA = 2lw + 2lh + 2wh
We know the length is 5 and the height is 8 and the width is 4
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot. Explain
1. 5/8 rounds to 1, and 4/9 rounds to 1. The area is about 1 sq ft.
2. 5/8 rounds to 2/3, and 4/9 rounds to 2/3. The area is about 4/9 sq ft.
3. 5/8 rounds to 1/2, and 4/9 rounds to 1/2. The area is about 1/4 sq ft.
4. 5/8 rounds to 0, and 4/9 rounds to 0. The area is about 0 sq ft.
Pick one
Solution:
Step-1: Find the area of the rectangle.
Area of rectangle = L × BL = 5/8 foot; B = 4/9 foot
=> Area of rectangle = 5/8 × 4/9=> Area of rectangle = 20/72 = 10/36 foot²Step-2: Verify all the options.
Option A => 1 ft² => 36/36 ft² Option B => 4/9 ft² => 16/36 ft² Option C => 1/4 ft² => 9/36 ft²Option D => 0 ft² => 0/36 ft²Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.
Thus, Option C is correct.
Help me please its urgent I need it done asap I need help if anyone could help me solve these problems that would be very helpful! (I'll give brainliest if you can solve all of them!)Find two numbers whose difference is eight, such that the larger number is sixteen less than three times the smaller number. (you must show the algebra for full credit)
Answer:
Large number: 20
Small number: 12
Step-by-step explanation:
Hello!
This problem is a word problem, and if we assign variables to find each of the numbers, it could help.
A variable is usually an unknown number that stands for that unknown.
Since in this problem we know there is a small and large number, let's assign the large number as the variable x and small number as variable y.
For the first part, it says two numbers whose difference is 8, which means the large number minus the smaller number equals 8.
x-y=8
For the second part is tricky. It's saying that the small number times three is 16 more than the large number itself. When constructing a equation, this is what we get:
x+16=3y x plus 16 equals 3 times y
To solve this equation together so we can make it super easy, let's do the method of substitution, which is where we make an equation equal to a variable and input that equation into the second equation.
We can use x-y=8 to input, we can rearrange y and plug it to the right side to get x=8+y
Since x equals 8+y, let's input this into the second equation.
(8+y)+16=3y input the rearranged equation into the second
24+y=3y combine like terms
-y -y
24=2y divide by two to get y by itself
12=y
We aren't done yet! We have to find x still; let's use the previous first equation to find x. We know y=12, so let's plug it in.
x-y=8 original formula
x-12=8 plug it in
+12 +12
x=20
Therefore, the large number is 20, and smaller number is 12.
Answer:
12 and 20
Step-by-step explanation:
small=x
big= (x+8)
(x+8) = 3x -16
24 = 2x
x=12 (small)
12+8 = 20(big)
On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).
What is the rule for the reflection?
A. rx-axis(x, y) → (–x, y)
B. ry-axis(x, y) → (–x, y)
C. rx-axis(x, y) → (x, –y)
D. ry-axis(x, y) → (x, –y)
Answer:
B. Ry-axis(x, y) → (–x, y)Step-by-step explanation:
As per the graph we see that:
Reflection over y-axis, y- coordinates remain as is, x- coordinates change to oppositeSo the rule is:
Ry-axis (x, y) → ( - x, y)Correct option is B
Answer:
B. ry-axis(x, y) → (–x, y)
Step-by-step explanation:
Took the quiz, hope this helps! :)
1) Find the minimum and maximum values for the function with the given domain interval. Round your answers to the nearest thousandth. m(x) = ln x, given 1/10 ≤ x ≤ 1/5
The function m(x) = ln x is a natural logarithm function
The minimum value is -2.30 and the maximum value is - 1.61
How to determine the minimum and maximum values?The function is given as:
m(x) = ln x
The domain is given as:
1/10 ≤ x ≤ 1/5
At x = 1/10, we have:
m(1/10) = ln (1/10)
m(1/10) = -2.30
At x = 1/5, we have:
m(1/5) = ln (1/5)
m(1/5) = -1.61
So, we have: -2.30 ≤ m(x) ≤ -1.61
Hence, the minimum value is -2.30 and the maximum value is - 1.61
Read more about functions at:
https://brainly.com/question/13473114
Answer:
The minimum value is -2.303 and the maximum value is -1.609.
Step-by-step explanation:
Maria left her house and walked 2 miles north. Then she turned
and walked 3 miles west. How far is Maria from her house?
Round your answer to the nearest tenth.
Answer:
3.6 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]2^{2}+3^{2} =\\4 + 9 = \sqrt{13}[/tex]
√13 = 3.60555127546
Nearest tenth = 3.6
Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Answer:
$4.85Step-by-step explanation:
John spent and gave to his two friends a total of
1.25 + 1.20 + 1.20 = $3.65
Money left
8.50 - 3.65 = $4.85
-------------------------------------------------------------------------------------------------------------
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
$4.85
Step-by-step explanation:
Given;
Little John had $8.50
Spent $1.25 on sweets
Gave 2 friends $1.20
Step 1; [Solve Spend on Sweets]
$8.50 - $1.25=7.25
Step 2; Find amount given to his 2 friend]
[Gave $1.20 to each of his 2 friends]
$1.20 x 2 = 2.40
7.25 - 2.40=4.85
Hence, Little John have $4.85 is left
[RevyBreeze]
name the two pairs of parallel sides
_____ and ______
______and________
Please mark as brainliest
Answer:
1. HP and MN
2. HM and PN
Step-by-step explanation:
The parallel sides are the ones that do not touch.
HP and MN don't touch.
HM and PN also don't touch.
What’s the answer?
-6 x (-8)=____
Answer:
48 because when dividing, the negatives cancel out making it a positive. and the parentheses don't really matter.
Answer:
Multiply 8 by 6. It's 48.
The negatives cancel out when multiplying and dividing. However, it's different when adding or subtracting.
[tex]8*6=48[/tex]
Hope this helps!If it does, give thanks!please help this is due tomorrow
Answer:
Temperature is the measure of hotness or coldness expressed in terms of any of several scales. An example would be "The cup of beans are boiling hot and has a temperature of 100 °C, whereas the water in the tub is just comfortably warm, with a temperature of about 38 °C. Although the water in the tub has a much lower temperature, it has greater thermal energy".
Step-by-step explanation:
Name the relationship between ∠a and ∠b.
Answer:
D. complementary
Step-by-step explanation:
The two angles a and b add up to 90 degrees, so they are complementary.
Hopefully this helps - let me know if you have any questions!
You order a pizza for dinner. The circumference of the pizza is 31.4 inches. What are the radius and diameter of the pizza? What is the area of the pizza?
Answer:
Diameter: 10 inch
Radius: 5 inch
Area: 78.54 inch
I hope I'm right let me know
Answer this pls….. it’s math
Answer:
First choice.
Step-by-step explanation:
Th first option.
(x + 1)^2 - 25
The minimum value is -25 because the minimum value of the squared term is 0. A squared term cannot be negative,
A line intersects the points (1, 6) and
(2, 3). What is the slope-intercept
equation for this line?
y = [?]x+ + [ ]
Picture below:
Answer:
y=-3x+9
Step-by-step explanation:
Find the change, then plug in the point.
Which of the ordered pairs in the form (x,y)is a solution of this equation?
6x - 5y = 1
Question 1 options:
(-4,-5)
(5.-6)
(1,-1)
None are solutions