Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
Please help Im confused and I need this to be done ASAP what is the range
Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
Step-by-step explanation:
Height of the triangle = apothem = 9 inches
Base = 6 inches
[tex]Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}[/tex]
Area of regular polygon = Area of 5 triangle.
= 5 * 27
= 135 square inches
A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.
here is your answer hope you will understand it
Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
(i) the minimum value of f(x).
(ii) the value of x for which f (x) is a minimum
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have
Answer:129
Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25
750 - 621 = 129 more dimes than quarters
Simplify the following expression: 7(5 + 3) + 2ˆ4
72
Step-by-step explanation:7(5 + 3) + 2ˆ4
P ()
E ^
M *
D /
A +
S -
7(8) + 16
= 72
Hey there!
7(5 + 3) + 2^4
5 + 3 = 8
= 7(8) + 2^4
2^4
= 2 * 2 * 2 * 2
= 4 * 4
= 16
= 7(8) + 16
7(8) = 56
= 56 + 16
= 72
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
ll,,Step-by-step explanation:
can any of yalls help with this one
Answer:
it's the last option
Step-by-step explanation:
mark me brainliest
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice
Answer:
B. 6 miles per practice
Step-by-step explanation:
12 miles over the course of 2 track practices divided by 2
12/2 = 6
6 miles per one track practice
Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
Are the ratios 1:2 and 13:18 equivalent?
Answer:
No.
Step-by-step explanation:
If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.
Therefore, these two ratios are not equivalent.
Answer:
123456789101112131415161718192021222324252627282930
What is the perimeter of the following figure
Answer:
13
Step-by-step explanation:
7 cm +1 cm +2cm +2cm :12cm
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!
The final step. You divided wrong.
8 = 400 / 120 = 10/3
Step-by-step explanation:
The final step. You divided wrong.
[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]
What is the radius of a sphere with a surface area of 100πcm2?
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical
Answer:
Determined
Step-by-step explanation:
Determined
Check the attached image
Please help i do not understand this question!
Answer:
Distributive property
Step-by-step explanation:
The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.
Which is the graph of f(x) = (2)* ?
Answer:
the graph of f(x)=×2 called a parabola
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?
The first hose pumps out water at a rate of
(161 gal)/(3 h) = 161/3 gal/h
The second hose fills the pool at a rate of
(161 gal)/(2 h) = 161/2 gal/h
Working together, they can fill the pool at a rate of
(161/3 + 161/2) gal/h = 805/6 gal/h
so that it would take
(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min
to fill the pool.
2.59 is greater or less than 2.684
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
What is the volume of the rectangular prism in simplest terms?
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
1/sec-1 + 1/sec+1 = 2cotcosec
Solution :
LHS = 1/(secA -1) + 1/(secA+1)
= [secA+1+secA-1]/[(secA-1)(secA+1)]
= (2secA)/[sec²A-1]
=(2secA)/tan²A
= (2/cosA)/(sin²A/cos²A)
= ( 2cosA)/sin²A
= 2(1/sinA)(cosA/sinA)
= 2cosecAcotA
= RHS
••••