Answer:
g(x) is a vertical compression of f(x)
Step-by-step explanation:
Equation of graph 1 :[tex]f(x)=x^2[/tex]
Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]
f(x)→a f(x)
Its is case of vertical stretch or compression
Vertical stretch if |a|>1
Vertical compression if 0<|a|<1
f(x)→a f(x)
So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]
So, [tex]a= \frac{2}{3}=0.67[/tex]
So,0<|a|<1
So,It is a case of vertical compression
So, g(x) is a vertical compression of f(x)
quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.
Answer:
C. 44 in.
Step-by-step explanation:
[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.
Answer:
The answer is B on Edge
Step-by-step explanation:
Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Step-by-step explanation:
Is (–6, 6) a solution to the equation y = –x?
Answer:
Yes
Step-by-step explanation:
Yes since y is the negative of x like 6=-(-6)
Answer:
Yes.
Step-by-step explanation:
Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.
Add (8n4 - n) + (3n4 + 2n - 3n3 ) =
Voir
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number only.)
an aircraft carrier made a trip to guam and back. the trip took three hours and the trip back took 4 hours. it averaged 6 km/h on the return trip. find the average speed of the trip there
Answer:
8 kilometers per hour.
Step-by-step explanation:
1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.
2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.
3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.
Identify the algebraic description that maps a point (–1,5) onto another point (6, –3). Question 13 options: A) (x, y) → (x – 8, y + 7) B) (x, y) → (x – 8, y – 7) C) (x, y) → (x – 7, y – 8) D) (x, y) → (x + 7, y – 8)
Answer:
D
Step-by-step explanation:
The answer is D
-1+7, 5-8
(6, -3)
Need Help ASAP will give brainliest!!!!
Answer:
Puppy' present weight = 2250 grams
Puppy last weight = 600 grams
Difference = 2250-600 = 1650
%age increase = (1650/600) x 100
= 275%
Pls help lol eeeeeeeeee :D :D
Answer:
9 units2
Step-by-step explanation:
area of a triangle= lengthxwidth/2
3x6=18/2=9
X-11 < 36
Answer here
Answer: x< 57
Step-by-step explanation:
x -11 < 36 Add 11 to both sides.
+11 +11
x < 47
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
Answer:
The median weight for shelter A is greater than that for shelter B.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
directly with the number of tickets suppose seven tickets cost 126 how much would 12 tickets cost
Answer:
$216
Step-by-step explanation:
126 ÷ 7 = $18
18 × 12 = $216
Rewrite this expression using fewer terms.
3(x - 2) + 4(x - 2) – 5(x - 2)
Answer:
2x−4
Step-by-step explanation:
Simplify.
Distribute:
=(3)(x)+(3)(−2)+(4)(x)+(4)(−2)+(−5)(x)+(−5)(−2)
=3x+−6+4x+−8+−5x+10
Combine Like Terms:
=3x+−6+4x+−8+−5x+10
=(3x+4x+−5x)+(−6+−8+10)
=2x+−4
Cheers! :)
PS: I got a question worth 30 POINTS ANYONE WANT TO ANSWER?
Hey!!
Solution,
3(x-2)+4(x-2)-5(x-2)
= 3x-6+4x-8-5x+10
= 3x+4x-5x-6-8+10
= 7x-5x-14+10
= 2x-4
=2(x-2)
hope it helps..
Is the sqre root of 16 + 3/4 irrational
The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
What is the median of the data
represented in the box plot below?
25
35
45
55
Answer:
40
Step-by-step explanation:
-To find the median with an odd set of numbers
put the numbers in chronological orderfind the number in the middle and that is your answer-To find the median with a even set of numbers
put the numbers in chronological orderfind the average of two numbers in the middle (to do so:add the 2 numbers in the middledivide that number by 2and that's your answerExplain why an atom has no overall charge
Answer:because they contain an equal amount of positive protons and negative electrons
Step-by-step explanation:
Dante is selling donuts outside a huge office building every morning. The first week
he made $25 selling donuts, the second week he made $45 the third week he made
$65! Everyone loved them and they are spreading the word. If this pattern continues
how much money will he be making in week 10?
Answer:
$205Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
first term 25 common difference r = 20Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
What would the football player's weight be on the moon where acceleration due to gravity is
1.60 m/s??
Answer:
Step-by-step explanation:
Around 0
Can someone please tell me how to find the value of x.
Answer:
2.547 = x
Step-by-step explanation:
tan 23 = x/6 Use this equation to find the value of x
0.4245 = x/6 Multiply both sides by 6
2.547 = x
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3
Answer:
A y= -2x+3
Step-by-step explanation:
The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.
The equation of the line in slope-intercept form is: A. y = -2x + 3.
What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.Thus, find the slope (m):
Slope (m) = change in y/change in x = -2/1 = -2
y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.
Therefore, substitute b = 3 and m = 2 into y = mx + b:
y = -2x + 3
Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.
Learn more about slope-intercept form on:
https://brainly.com/question/1884491
What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
therefore answer is (1,-2)
Please answer fast, dhehdhhd
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.
Answer:
X=50 dollars Y=0.4 dollars
Step-by-step explanation:
Starting with the two equations:
$90= X(truck cost)+ Y(cost per km)*100km
and
110=X+Y*150
we solve the first equation for X: X = 90-100Y
and plug X into the second equation: 110=90-100Y+150Y
add like terms: 20=50Y
so Y = 2/5 or .4
Plug Y into the first equation: 90= X+100(.4)
Evaluate: 90= 40+X so X= 50
Answer:
X = 50 dollars
and Y= o.4 cents
Step-by-step explanation:
Lucy's parents built a swimming pool in the backyard. Use 3.14 for .
40 ft
20 ft
What is the distance around the pool? The distance around the pool is 131.47 feet.
What is the area of the pool?
Can someone please help
Area = l x w = 40 x 20
= 800 sq ft.
Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction
Answer:
s = 5/4 pi
Step-by-step explanation:
A = 25π cm2
Theta = pi/4
A = pi r^2 = 25 pi
Divide each side by pi
r^2 = 25
Taking the square root of each side
sqrt(r^2) = sqrt(25)
r = 5
The arc length is
s = r * theta where theta is in radians
s = 5 * pi/4
s = 5/4 pi
Find the following trigonometry values
cos (150*) = ?
sin (150*) = ?
Answer:
see explanation
Step-by-step explanation:
cos150°
= - cos(180 - 150)°
= - cos30°
= - [tex]\frac{\sqrt{3} }{2}[/tex]
-------------------------
sin150°
= sin (180 - 150)°
= sin30°
= [tex]\frac{1}{2}[/tex]
The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.
How to find trigonometry values?To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.
cos(150°):
We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:
cos(150°) = -cos(30°) = -√3/2.
sin(150°):
We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:
sin(150°) = sin(30°) = 1/2.
Learn more about trigonometric values on:
https://brainly.com/question/15227398
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What is the surface area of a cone with a radius of 3 cm and a length of 8 cm
Answer: surface area = 108.8 sq. cm
Step-by-step explanation:
A=πr(r+√h2+r2)
Answer:
108.8cm^2
Step-by-step explanation:
Surface Area
A = πr(r+ √h2+r2)
A= π3 * (3 +1/3) √64 + 9 (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32
A= 108.7
Volume
V=πr2h/3
V= π9*8 = π72/3 = 226.28/3
V= 72.4cm^3
Additional
The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.
To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.
l2 = h2 + r2
l2 = 64 + 9
l = √(73)
l = 8.54 cm
And the total surface area of the cone is:
SA = πr2 + πrl
SA = π · r · (r + l)
SA = π · 3 · (3 + 8.54)
SA = π x 3 . 11.54
SA = 9.42477796077 x 11.54 = 108.76 cm2
SA = 108.8cm^2
a triangle has one side of length 12 and another of length 7 which of the following are possible lengths of the third side
Answer:
Step-by-step explanation:
The first rule is that 2 of the sides must be bigger than the third.
4 and 7 makes 11 which is not bigger than 12, so A is not an answer.
5 + 7 = 12 That does not exceed 12, so the second one is not an answer
12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.
If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.
So only 12 works.
In short, 5<x<19 will create a triangle. Anything outside that inequality will not.
Answer:
7 and 12
Step-by-step explanation:
using triangle inequality theorem
if triangle has side a,b, and c, then all of them will trus if fulfill this inequality
a+b > c
a+c > b
b+c > a
now take a = 7 and b = 12
so the number c which can make triangle with a and b is
7 and 12
A rectangle has sides of length 7 in and 13 in. To the nearest degree, what angle does the diagonal make with the longer side?
Round your answer the nearest tenth.
A)57.4
B)28.3
C)61.7
D)32.5
please help me find the volume for this triangular prism
Answer:
140 yd³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Ah ( A is the area of the triangular face and h is the depth )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
= 0.5 × 5 × 8 = 20 yd² , thus
V = 20 × 7 = 140 yd³