Answer:
The midpoint is ( 2,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-2+6)/2 =4/2 =2
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
( 1+-3)/2 = -2/2 = -1
The midpoint is ( 2,-1)
Answer:
(2, -1)
Step-by-step explanation:
Let M is the midpoint of that segment with the endpoints A(-2,1) and B(6,-3)
x-coordinate of M:
xM = (xA + xB) / 2 = (-2 + 6) / 2 = 4 / 2 = 2
y-coordinate of M:
yM = (yA + yB) / 2 = ( 1 + -3) / 2 = -2 / 2 = -1
Answer: M(2, -1)
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Answer:
One real rational root
Step-by-step explanation:
x^2-4x+4=0
=>x^2-2x-2x+4=0
=>x(x-2)-2(x-2)=0
=>(x-2)(x-2)=0
=>x=2
Therefore one real rational root
10 + y = 3 solve for y plz help
Steps to solve:
10 + y = 3
~Subtract 10 to both sides
y = -7
Best of Luck!
Answer:
y= -7
Step-by-step explanation:
All you have to do is subtract 10 from both sides. This eliminates the 10 from the y side and leaves you with y= -7.
Aaron bought a $3,000.00 car from Chad's Used Cars. What was his cost of credit if he had a 5 year loan at 3.5% interest? P is the principal, r is the interest rate, m is the number of monthly payments, M is the monthly payment
A. $274.80
B. $380.40
C. $227.04
D. $164.76
Answer:
Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...
Step-by-step explanation:
Simplify the expression:
31 – (5 – 3 x 4)^2 + 2^6 / 4
a. -2
b. 10
c. 0
d. -3
Answer: A.-2 that the best answer hope this help yu
Step-by-step explanation:31 - (5 - 3 • 4)^2 + 2^6 / 4
31 - (5 - 12)^2 + 2^6 / 4
31 - (-7)^2 + 2^6 / 4
31 - 49 + 64 /4
31 - 49 + 16
-2
Answer:
A. -2
Step-by-step explanation:
31 - (5 - 3 • 4)^2 + 2^6 / 4
31 - (5 - 12)^2 + 2^6 / 4
31 - (-7)^2 + 2^6 / 4
31 - 49 + 64 /4
31 - 49 + 16
-2
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Answer:
Alternate-exterior angles theorem.
Step-by-step explanation:
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
Calculus 2 Master needed, evaluate the indefinite integral of: [tex]\int\( (lnx)^2} \, dx[/tex] So far I had applied the integration by parts and got: [tex](ln x )^2*x - \int\ x*((lnx)^2/2)}[/tex] do we do integration by parts again? also, do we simplify the x at my current stage? steps shown would be appreciated
Answer:
[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]
Step-by-step explanation:
We want to evaluate the integral:
[tex]\displaystyle \int\left(\ln x\right)^2 \, dx[/tex]
We can use Integration by Parts. Rewriting the integral yields:
[tex]\displaystyle =\int 1\cdot (\ln(x))^2\, dx[/tex]
Recall that IBP is given by:
[tex]\displaystyle \int u\, dv = uv - \int v \, du[/tex]
Let u be (ln(x))². And let dv be (1) dx. Therefore:
[tex]\displaystyle du = 2\ln x \cdot \frac{1}{x}\, dx[/tex]
Simplify:
[tex]\displaystyle du=\frac{2\ln(x)}{x}\, dx[/tex]
And:
[tex]dv=(1)dx\Rightarrow v = x[/tex]
Therefore:
[tex]\displaystyle \int (\ln(x))^2\, dx=\underbrace{\ln(x)^2}_{u}\underbrace{x}_{v}-\int\underbrace{x}_{v}\cdot \underbrace{\frac{2\ln(x)}{x}\, dx}_{du}[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2 \int\ln(x)\, dx[/tex]
We can perform IBP again. Let u = ln(x) and v = 1. Hence:
[tex]\displaystyle du = \frac{1}{x} \, dx[/tex]
And:
[tex]dv=(1)dx\Rightarrow v = x[/tex]
Thus:
[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (x)\frac{1}{x}\, dx\right)[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (1)\, dx\right)[/tex]
Evaluate:
[tex]=x\ln(x)^2-2(x\ln(x)-x)+C[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2x\ln(x)+2x[/tex]
Factor:
[tex]=x(\ln(x)^2-2\ln(x)+2)[/tex]
Therefore:
[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
40 and 25Step-by-step explanation:
Let the two numbers be x and y. If the sum of the numbers is 65, then;
x+y = 65........ 1
Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)
Therefore 2x = 10+y
x = 10+y/2 ....... 2
Substitute equation 2 into 1 to have;
10+y/2 +y = 65
Find the LCM
(10+y+2y)/2 = 65
10+3y/2 = 65
cross multiply
10+3y = 130
3y = 130 -10
3y = 120
y = 120/3
y = 40
Since 2x =10+y
2x = 10+40
2x = 50
x = 50/2
x = 25
Therefore the two numbers are 40 and 25
Answer:
40 and 25
Step-by-step explanation:
(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.
A clock that is set fifteen minutes fast is less precise than an identical clock
that keeps correct time.
TRUE OR FALSE
The statement that a clock that is set fifteen minutes fast is less precise than an identical clock that keeps correct time is false
How to determine the true statement?When a time is set away from the correct time, the time on the clock would be incorrect.
However, this has nothing to do with the precision of the clock.
This is so because precision deals with closeness of the time measurement to the original time
Since the time is ten minutes fast, it would not be less precise
Hence, the statement is false
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(7,-1) and ( 21,-5) what is the slope
Answer:
-2/7
Step-by-step explanation:
Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4. Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.
What is the next number 5, -20, 80, -320, 1280 _
a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?
Answer:
$375 is what i got on
how to solve for a b and c
Answer:
a=40. b=140. c= 40
Step-by-step explanation:
b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.
a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.
c is Congruent to a due to the vertical angles postulate
a. Jacob is the most popular name among the 2,086,814 males born in 2000. The Jacobs make up 1.6516% of all males born that year. How many Jacobs were born in 2000?
Answer:
34,466
Step-by-step explanation:
Given:
Number of males born in 2000 = 2,086,814
Percentage of males bearing Jacob of all males born in 2000 = 1.6516%
Required:
Number of Jacobs born in 2000
Solution:
Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.
[tex] = \frac{1.6516}{100}*2,086,814 [/tex]
[tex] = 0.016516*2,086,814 = 34,465.82 [/tex]
Number of Jacobs born in 2000 is approximately 34,466.
Let f(x)=x^2−4x. Solve f(x)=−4.
Answer:
( x + 2) ( x - 2 )
Step-by-step explanation:
f(x) = x^2 -4x
-4 = x^2 - 4x
0 = x^2 - 4x + 4
0 = ( x + 2) ( x - 2 )
( x + 2) ( x - 2 )
The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Step-by-step explanation:
Hey there!!
It's so simple.
While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.
Let's simply work with it.
Here, A (2,-1) and midpoint M(3,3) are given.
Let another coordinate be B(x,y).
By midpoint formulae,
[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]
Putting their values,
[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]
As they are equal, equating with their corresponding elements we get,
[tex]3 = \frac{2 + x}{2} [/tex]
6= 2 + x
x = 6-2
Therefore, the value of a is 4.
Again,
[tex]3 = \frac{ - 1 + y}{2} [/tex]
6 = -1 + y
Therefore, the value of y is 7.
Therefore, the coordinates are B (4,7)
Hope it helps....
Answer:
The coordinates of B is (4, 7)
Step-by-step explanation:
To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).
If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)
If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.
you multiply 2 by 3 to get 6---> 2+x=6-----> x=4
If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.
you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7
so the answer for B's coordinates is (4, 7).
The perimeter of a rectangle is 58 cm. The length is 2 more than twice the width. Let w represent the width.
Answer:
fewaf
Step-by-step explanation:
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If f(x) = x3, evaluate the difference quotient
f(6 + h) − f(6) h
Correct question is;
If f(x) = x³, evaluate the difference quotient: [f(6 + h) − f(6)]/h
Answer:
h² + 108h + 18
Step-by-step explanation:
We are given f(x) = x³
Thus;
f(6 + h) = (6 + h)³ = (36 + 12h + h²)(6 + h) = 216 + 72h + 6h² + 36h + 12h² + h³ = 216 + 108h + 18h² + h³
Then, f(6) = 6³ = 216
Thus;
[f(6 + h) − f(6)]/h = [216 + 108h + 18h² + h³ - 216]/h = (h³ + 108h + 18h²)/h
This gives;
h² + 108h + 18
In this exercise, lines m and n are parallel. Find the measure of each numbered angle.
ITS 9 PARTS
1 = 62° ( Vertically Opposite Angles )
10 = 62° ( Corresponding Angles )
9 = 10 = 62° ( Vertically Opposite Angles )
6 = 95° ( Vertically Opposite Angles )
7 = 180° - 95° = 85° ( Linear Pair )
8 = 7 = 85° ( Vertically Opposite Angles )
5 = 8 = 85° ( Corresponding Angles )
3 = 5 = 85° ( Vertically Opposite Angles )
4 = 180° - ( 9 + 7 )
4 = 180° - ( 62° + 85° )
4 = 180° - 147°
4 = 33° ( Angle Sum Property )
2 = 4 = 33° ( Vertically Opposite Angles )
Which shows the equation below written in the form ax2 + bx+c= 0?
2x2 - 2 = -5x - 1
Bring all the equation from the right side to the left.
2x² - 2 = - 5x - 1
2x² + 5x - 2 + 1 = 0 (take note that as you bring the number over you also have to flip the sign)
Therefore,
2x² + 5x + 1 = 0 (shown)
( this ans is similar to the form of ax² + bx + c = 0 )
The equation below written in the form ax² + bx +c= 0 is 2x² + 5x + 1 = 0
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax² term.
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
given:
2x² - 2 = - 5x - 1
2x² + 5x + 1 = 0.
Here, the above equation is in standard form as ax² + bx +c= 0.
Learn more about quadratic equation here:
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Find the value of x. (3x-9)(x+7)
Answer:
The answer to this question is 23
Step-by-step explanation:
The reason is because....
23x3= 69
69-9=60
60+ (x+7)
23+7=30
30+60=90
The angle shown is a 90 degree angle therefore this is your answer.
please help Solve: x² - 64 = 0
Answer:
x = plus or minus 8
Step-by-step explanation:
x² - 64 = 0
x² = 64
x = [tex]\sqrt{64}[/tex]
x = ± 8
Answer: Solve : x2+64 = 0
Subtract 64 from both sides of the equation :
x2 = -64
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -64
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -64 =
√ -1• 64 =
√ -1 •√ 64 =
i • √ 64
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
solve :(x+1)(x+2)(x+3)(x+4)=120
Answer:
x=1
Step-by-step explanation:
(x+1)(x+2)(x+3)(x+4)=120
Split 120 in it's factors: 2x3x4x5
=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5
=>x+1=2 (Take any one in order)
=>x=1
Answer:
x=1
Step-by-step explanation:
120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)
so x+1=2
-1 -1
x=1
A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!
Answer: h = 70ft
Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:
[tex]h=4+65t-16t^{2}[/tex]
[tex]h=4+65.2-16.2^{2}[/tex]
[tex]h=4+65.2-16.4[/tex]
[tex]h=4+130-64[/tex]
h = 70
After 2s, the football reached a height of 70 feet.
Answer:
if its for 3 seconds the answer is 55
Step-by-step explanation:
-2(3y - 6) + 4(5y - 8) = 92
Answer:
y = 8
Step-by-step explanation:
[tex]-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8[/tex]
Answer:
Step-by-step explanation:
-6y + 12 + 20y - 32 = 92
14y -20 = 92
14y = 112
y = 8
if f(x)=4x^2-6
find f(3)
Answer:
f(3) = 30Step-by-step explanation:
f(x) = 4x² - 6
To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3
We have
f(3) = 4(3)² - 6
= 4(9) - 6
= 36 - 6
We have the final answer as
f(3) = 30Hope this helps you
Answer: f(3) = 30
Step-by-step explanation:
Subtract. Fill in the missing numbers, 14 - 8 = 8= _____ + ________ So, 14 - 8 = _______
Answer:
the answer is 6.
Step-by-step explanation:
I think they want you to skip count down by 4 and there's your anwser.
Hope I helped.
SJ
Hi guys, can anyone help me with this? Many thanks:)
Step-by-step explanation:
y = √—16x²+8x—2√8x+1+2Ryan sold half of his comic books and
then bought eleven more. He now has 38.
With how many did he begin?
Answer:
54
Step-by-step explanation:
38-11= 27
27×2= 54 so he started with 54 comic books
Angel rode his bike 8 km South 5 km East how long did it take Angel to get back