Answers
Using translation concepts, the equations are given as follows:
a) [tex]y = \sqrt{16 - 4x^2}[/tex]
b) [tex]y = 3\sqrt{16 - x^2}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]y = \sqrt{16 - x^2}[/tex]
In item a, when it is horizontally compressed by a factor of 2, it means that x -> 2x, hence:
[tex]y = \sqrt{16 - (2x)^2} = \sqrt{16 - 4x^2}[/tex]
In item b, the transformations are given as follows:
Vertical expansion by a factor of 3, hence y -> 3y.Reflected in the y-axis, hence x -> -x.Then:
[tex]y = 3\sqrt{16 -(-x)^2} = 3\sqrt{16 - x^2}[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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Related Questions
Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!
Answers
Answer:
25x+295
Step-by-step explanation:
-12x-5x+32x=25x
-15+310=295
Answer:
-4x + 1/10
Step-by-step explanation:
Because I did the test. hope you have a lovley day at K12
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2
Answers
Answer:
Step-by-step explanation:
Car 2 is traveling faster than Car 1. Option B is correct.
Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second
Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2 is faster than car 1.
Thus, Car 2 is traveling faster than Car 1. Option B is correct.
Learn more about speed here:
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the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?
Answers
Answer:
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Step-by-step explanation:
The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.
Given
[tex]P = (x,-\frac{5}{7})[/tex]
Required
Determine the possible value of x
Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:
[tex]x^2 + y^2 = 1[/tex]
Substitute -5/7 for y
[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]
[tex]x^2 + \frac{25}{49} = 1[/tex]
Collect Like Terms
[tex]x^2 =1- \frac{25}{49}[/tex]
Take LCM
[tex]x^2 =\frac{49 -25}{49}[/tex]
[tex]x^2 =\frac{24}{49}[/tex]
Take the square root of both sides
[tex]x =\± \sqrt{\frac{24}{49}}[/tex]
[tex]x = \±\frac{\sqrt{24}}{7}[/tex]
[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]
Split
[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Use the ratio table to solve the percent problem.
What percent is 6 out of 30?
2%
6%
20%
30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.
Answers
Answer:
20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪
Step-by-step explanation:
denada ┌(・。・)┘♪
Answer:
20%
Step-by-step explanation:
In ionic bonding, it tends to do which of the following
Answers
Answer:
Transfer of electrons
Form Crystals
High boiling & melting points
Dissolve in water
Good conductor of electricity
okay so last time my file did not show up so lets try again
Answers
Answer:
you are correct
Step-by-step explanation:
5 - 2(x + 2)
Since parenthesis comes first in PEMDAS, distribute 2
5 - 2x - 4 = 1 - 2x
4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.
Answers
Answer:
50m
Step-by-step explanation:
5500cm=550m
Area=length*width
550=length*11
length=550/11=50
Simplify the expression
Answers
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
Does the equation 5(x−3)+6=5x−9 have one, none, or an infinite amount of solutions?
Answers
Convert (-3, 0) to polar form.
A. (3, 0 degrees)
B. (-3, 180 degrees)
C. (3, 180 degrees)
D. (3, 360 degrees)
Answers
Answer:
The answer would be A. (3,0)
The function g is defined by g(x) = 3x+4.
Find g(z+3).
I really need help with these Aleks assignments, can someone help me with them?
Answers
Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
can someone help me how to calculate a square root of 8
Answers
Answer:
2.82842712475
Step-by-step explanation:
when you square 2.82842712475 your answer is 8 so the number above Is answer
Answer:
8 = 64 √8 = 2.828
Step-by-step explanation:
√8 = √(4 * 2) = √4 * √2 = 2√2 ≈ 2.828427.
Hope this helps you!
Please help!!!!!! I will give brainliest!!
Answers
Step-by-step explanation:
6 = 3(-1) +9 yes this is true
5(-1) +6 = 1 Yes this is true
so yes it's a solution because it works in both equations.
35x+0.10(100-x)
what’s the answer for this i’ve tried but can’t figure it out someone help me!!!
Answers
Answer:
34.9x+10
Step-by-step explanation:
Answer: solve for X
{
y=0,
y∈R,
x
=−1
x=0
Step-by-step explanation:
Una araña de 75g de masa está suspendida de la telaraña que tejio poniéndola en el techo, cómo se muestra en la siguiente figura.
¿cuál es el valor de las tensiones en los hilos de las telarañas unidos al techo?
Answers
100 gallon tbh rn because the spider ddint take much
7 (4.3 + p)
note p=5.7
Answers
Answer:
70
Step-by-step explanation:
Replace p with 5.7.
7 (4.3 + p) = 7 (4.3 + 5.7)
= 7 (10)
= 70
Answer:
4.3 + 5.7 = 10
7 * 10 = 70
Hence, 70 is the answer
Hope it helps
Please mark me as the brainliest
Thank you
how do i multiply integers with different sign
Answers
Answer:
alensdkhvabroefsljndfs
Step-by-step explanation:
n/a
STEP BY STEP:
When multiplying two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
Hope this helps. :)
When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)
Answers
Answer:
(6,0)
Step-by-step explanation:
If the y-coordinate is 0, it is lying on the x-axis
Same with the x-coordinate. If it is 0, it is lying on the y-axis
I need to find what x
Answers
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
What is the value of 3n if n=2
Answers
Answer:
6
Step-by-step explanation:
3n=3(n)
ur replcing n with 2
3(2)=3x2
3x2=6
Answer:
6
Step-by-step explanation:
3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.
plug in 2 for n:
3n ⇒ 3(2)
multiply 3(2):
3(2) = 6
therefore, when n = 2, 3n = 6.
a cow is tied to a pole fixed at the mid-point of a side of a square field of side 40m by means of a 14m long rope find the area that cow can graze pls explain
Answers
Step-by-step explanation:
The area that cow can graze is in the form of semicircle.
Radius of semicircle
Length of rope =14 m
Required area = 1/2 ×πr
=1/2×22/7×r^2
=1/2×22/7×14×14
=308m2
help please
-8+(-5)+9+11=
Answers
Answer:
=7
Step-by-step explanation:
= -8+(-5)+9+11
= -8-5+20
= -13+20
= 7
-13 + 9 + 11
-4 + 11
= 7
Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?
$24,000
$24,000
$2,400
$2,400
$4,800
$4,800
$600
Answers
The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7
Answers
Answer:
D) 2 and 7
Step-by-step explanation:
x+y=9
x-y=5
----------
2x=14
x=14/2=7
7+y=9
y=9-7=2
Escribe las siguientes cantidades en forma de notación científica
a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros
Answers
Answer:
I don't know. I am sorry
Step-by-step explanation:
Please help me find x
Answers
you have to find the angles inside the triangle first so
- 180-109 = 71° (angles on a straight line add up to 180°)
- 55° (vertically opposite angles)
71+55= 126
180-126= 54
x=54°
Which expression is equivalent to 4(6x + 12)
a) 68
b) 68x
c) 24x + 48
d) 24x + 12
Answers
Answer:
hello! :) have a good day!
C). 24x + 48
Answer:
c
Step-by-step explanation:
4(6x+12)
4(6x)+4(12)
24x+48
Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5
Answers
Answer:
36/5 or 7 1/5 or 7.2
(These are all different forms of the same answer)
Method:
2 1/4 = 9/4
3 1/5 = 16/5
9/4 × 16/5 = 144/20
144/20 = 36/5
please help me will give brainliest
Answers
Answer:
82°
Step-by-step explanation:
[tex] \triangle ABC\sim \triangle PQR... (given) [/tex]
[tex] \therefore m \angle Q = m \angle B... (cast) [/tex]
Therefore,
8x + 50 = 3x + 70
8x - 3x = 70 - 50
5x = 20
x = 20/5
x = 4
[tex] m \angle Q [/tex] = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°
in the presidential election of 1860, 39.9% of the voters voted for abraham lincoln and 29.4% of the voters voted for stephen douglas. what percent voted for other candidates?
Answers
Answer:
It's 30.7%
Step-by-Step Explanation: