Answer:
Point P is in between points F and G.
Now, here we do not have the actual locations of F and G, so i will answer this in a general way.
Suppose that F is located at 0 and G is located at some value A.
Then the distance FG = A - 0 = A.
Now, the distance between F and P is:
Distance = (1/4)*FG = A/4
Then the location of P is equal to the location of F plus A/4
P = 0 + A/4
Now, writing this in a more general way:
P = F + FG/4
find the square of 12 find the square root of 196,324
Step-by-step explanation:
the square of 12 =12×12 =144
and the square root of 196324 = ✓196324
= 443.084642
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
[tex]\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6[/tex]
Simplify :
Stepwise answer!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]
⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]
Use the formula : a² - b² = ( a + b ) ( a - b )
⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Multiply the algebraic expressions
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
When there is a ( - ) in front of an expression, change the sign of each term in the expression
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Since two opposites add up to zero, it would be better to remove them from the expression
⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
collect like terms and simplify
⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]
Multiply : ( x² - 4 ) and ( x² - 9 )
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]
Hope I helped!
Best regards! :D
A tile measures 10 ×cm. How many such tiles are required to cover a wall of 4 m ×2.5m
Answer:
los CM a m = entre 100
Step-by-step explanation:
___________________
Write and solve an equation to find the number n.
The sum of twice a number and half the number is 10.
Equation:
= 10
The number is n =
32
Answer:
The number is 4
Step-by-step explanation:
Let the number be n
Twice the number : 2*n = 2n
Half the number : 1/2 n
[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]
n = 4
Factor the polynomial. 4x^2+4xy+y^2
Answer:
(2x)^2 + 2(2x)(y) + (y)^2
(2x+y)^2
Step-by-step explanation:
Explain how to find the price of 4 pounds of peaches given that 6 pounds of peaches is $5.99
Answer:
$3.99
Step-by-step explanation:
If 6 pounds is $5.99
We can round that to $6
Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99
Please give brainliest. Thanks
(iii) sin (90° - A) cos (90° - A)=tanA/
1+tan²A
Answer:
See below
Step-by-step explanation:
[tex]A=\theta[/tex]
[tex]$\sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
According to cofunctions identities:
[tex]\boxed{\sin(90\º - \theta)=\cos(\theta)}[/tex]
[tex]\boxed{\cos(90\º - \theta)=\sin(\theta)}[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
Once
[tex]$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)} $[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{1+ \frac{\sin^2(\theta)}{\cos^2(\theta)}}$[/tex]
Take
[tex]$1+\frac{\sin^2(\theta)}{\cos^2(\theta)}}=\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} $[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} }}$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
Once
[tex]\boxed{\sin^2(\theta) + \cos^2(\theta)=1}[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{1 }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \sin(\theta)\cos(\theta)$[/tex]
[tex]$\therefore \sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
Solve the following expression when
f = 6 and p = 2
3f - 9p + 8 + f
Answer:
14
Step-by-step explanation:
3(6) - 9(2) + 8 + (6)
18 - 9(2) + 8 + (6)
18 - 18 + 8 + (6)
0 + 8 + (6)
8 + (6)
14
The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720720 feet of fencing available, what is the maximum possible area of the pasture
The correct value is 720 ft of fencing.
Answer:
Max Area = 64800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
720/4 = 180 feet
So, we want a square 180 ft by 180 ft
however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.
Thus,we now have a rectangle with dimensions: 180 ft by 360 ft
Area is given by;
area = length × width
Maximum Area = 180 × 360
Max Area = 64800 sq.ft
Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)
Answer:
Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph
Hoped I helped
Step-by-step Explination + Answer:
Graphing
So the vertex is at (-4,-8)
In order to graph, we need the vertex and another point. That other point can be one of the zeros we found, like (-2,0)
Me.Dorado has completed 75% of his morning run which of lowing sets does NOT represent 75%
Answer:
H.
Step-by-step explanation:
Which graphs have rotational symmetry? Check all of the boxes that apply.
On a coordinate plane, a cubic function has an x-intercept of (0, 0).
On a coordinate plane, an absolute value function opens down.
On a coordinate plane, an oval is in quadrant 1.
Answer:
The correct option are;
On a coordinate plane, a cubic function has an x-intercept of (0, 0)
On a coordinate plane, an oval is in quadrant 1
Step-by-step explanation:
Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape
For a cubic function that has x-intercept = (0, 0) we have;
y = f(x) = a·x³ + b·x² + c·x
Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°
The shape of an oval looks the same when rotated through 180°
Answer:
This graph has rotational symmetry about the point
(0,0).
This graph has rotational symmetry about the point (2,4).
Step-by-step explanation:
second part on edge 2020 !
The cost of insurance on a house is directly proportional to the area of the house.Samhas a 2,500 square-foot house and pays a monthly insurance premium of $67.50Bella has a 3,800 square-foot house insured with the same company. What is her monthly premium?Q5
Answer:
y tú la vez bebiendo de la botella guz dividido por qué colgaron que no se sienta en tu casa no te preocupes que no me dijan no me dijan no me dijan que hacen
show the following numbers on number line 3/2, 5/2, -3/2
When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.
Since -3/2 is less than 0, it will go to the left of 0.
Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.
Remember to use sub points of 1.
Best of Luck!
Please help
6 ( n + 5 ) = 66
Answer:
n=6
Step-by-step explanation:
6 ( n + 5 ) = 66
Divide each side by 6
6/6 ( n + 5 ) = 66/6
n+5 = 11
Subtract 5 from each side
n+5-5 = 11-5
n = 6
Answer:
n=6
Step-by-step explanation:
We are given the equation
6(n+5)=66
We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.
6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.
6(n+5)/6=66/6
(n+5) = 66/6
n+5 = 11
5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
n+5-5=11-5
n=11-5
n=6
Let's check our solution. Plug 6 in for n and solve.
6(n+5)=66
6(6+5)=66
6(11)=66
66=66
The statement above is true, so we know our solution is correct.
The solution to the equation 6(n+5)=66 is n=6
How many solutions does the system have?
y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Answer:
B
Step-by-step explanation:
Khan
Helpppppppppp it’s IXL
Answer:
z^-75Step-by-step explanation:
[tex]z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}[/tex]
Dewie Lifftum, Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground and the length of the ramp from the truck to the ground is 13 feet long what is the distance along the ground from the truck to the end of the ramp?
Answer:
the answer is 65
Step-by-step explanation:
13x5=65
12 feet is the distance along the ground from the truck to the end of the ramp.
What is Pythagorean Theorem?
For a right-angled triangle
(base)²+(height)²=(hypotenuse)².
How to solve the problem?The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.
Let x be the distance along the ground from the truck to the end of the ramp. Then
x²+5²=13²
⇒x²=13²-5²
⇒x²=169-25=144=12²
Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.
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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC
Answer:
x-coordinates of point B = 3
Step-by-step explanation:
If the extreme ends of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the given segment will be = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Coordinates of the extreme ends of segment AC are A(-2, -3) and C(8, -3).
Since B is a point that bisects the segment AC, coordinates of point B will be,
= [tex](\frac{-2+8}{2},\frac{-3-3}{2})[/tex]
= (3, -3)
Therefore, x-coordinates of the point B will be = 3
What are the coefficients in the expression 5x3 + 14x2 - 2x + 6?
Answer: 5,14 and -2
Step-by-step explanation:
The coefficient is the number next to the variable.
So this case the coefficients are 5,14 and -2
Answer:
Step-by-step explanation:
15+28-2x+6
49-2x=
x=-49/2
Kaylee borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Kaylee originally borrowed $120 from her friend and after 5 weeks, she still owed her friend $60. Write an equation for L,L, in terms of t,t, representing the amount Kaylee owes her friend after tt weeks.
Answer:
L=120−12tt
Step-by-step explanation:
$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt
Which relation is a function?
Answer:
A.
Step-by-step explanation:
If you use the vertical line test only one point hits the graph.
Using the vertical line test:
If you can draw a vertical line and it crosses the graphed line more than once, or multiples dots on the same line it is not a function.
The first graph is a function.
The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?
solve for h h+6/5=3
Answer:
h+6/5=3
We move all terms to the left:
h+6/5-(3)=0
determiningTheFunctionDomain
h-3+6/5=0
We multiply all the terms by the denominator
h*5+6-3*5=0
We add all the numbers together, and all the variables
h*5-9=0
Wy multiply elements
5h-9=0
We move all terms containing h to the left, all other terms to the right
5h=9
h=9/5
h=1+4/5
Step-by-step explanation:
P
The formula for calculating wage is where t is the time duration for which an amount p of money is paid.
Astrid is looking for a job at a call center. Call center A offers her 15 dollars per hour and call center B offers
her 25 cents per minute.
Which place offers a higher wage?
Answer:
call center A and B offer equal wages
Step-by-step explanation:
15/60 min 0.25/60 s
15/60 = 0.25
Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).
Answer:
104
Step-by-step explanation:
f(x) = x^2 + 4
g(x) = 7x + 13.
Find g(f(3))
Find f(3) = 3^2+4 = 9+4 = 13
Then find g(13) = 7*13 + 13 = 91+13 = 104
Answer:
91x+169
g(f(3))
(7x+13)(3^2+4)
(7x+13)(9+4)
(7x+13)(13)
therefore..91x+169
what is the first integer to the right of 0 on the number line
Answer:
1
Step-by-step explanation:
Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.
Cheers.
A ball will be drawn from a bag containing 20 balls numbered 1 through 20 . If each ball is equally likely to be drawn, what is the probability that the number on the ball drawn will be even or less than 5 ?
Answer:
7/10
Step-by-step explanation:
20 balls.
10 even, 10 odd.
4 numbers less than 5.
That is 14/20 --> 7/10
Most likely.
Probability that the number on the ball drawn will be even or less than 5
= 3/5
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given,
Total no. of balls = 20
All balls are numbered with numbered 1 through 20.
Balls with even numbers or less than five:
1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20
No. of balls with even numbers and less than five = 12
Probability that the number on the ball drawn will be even or less than 5 = No. of balls with even numbers or less than five/Total balls
= 12/20
Probability = 3/5
Hence, 3/5 is the probability that the number on the ball drawn will be even or less than 5.
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