56-16=40+23=63. ×=63
63-23=40+16=56
Reverse the problem it helps!
Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
Any transformation that multiplies a variable by something other than ±1 is not a rigid transformation — it involves some sort of dilation. Constants can be added or subtracted to effect translation, but none of the transformations shown here do any translation.
The first transformation is a reflection across the y-axis, hence the rigid transformation you're looking for.
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Comment on rotations
A rotation about the origin can be written in the form ...
(x, y) ⇒ (ax -by, bx +ay)
where a^2 +b^2 = 1 and b/a = tan(angle of rotation)
This rigid transformation is an exception to the statement above about multiplication by something other than ±1.
The graph of the function. f(x)=−|x+2|+1 is illustrated.
<h3>How to illustrate the function?</h3>
The given function is f(x)=−|x+2|+1.
We will have to draw the graph of the function.
When x = 1, f(1) will be -2. When x = 2, f(2,) will be -3
The points are illustrated based on the information given and the appropriate graph is illustrated and attached.
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<span>So we want to know the number of teachers the university should have if the ratio of students to teachers is 14:1 and the number of students is 896. If x is the number of teachers: 14/1=896/x. Now we solve for x: Lets multiply both sides with x: x*(14/1)=896 and divide both sides by 14 and we get: x=896/14 and x=64. So the university should have 64 teachers.</span>
Answer:
10.47 s
Step-by-step explanation:
We must solve the quadratic equations for t.
1. On the moon
h = -0.8t² + 10t +2
The standard form of a quadratic equation is
y = ax² + bx + c = 0
By comparing like terms, we see that
a = -0.8; b = 10; c = 2
We can now use the quadratic formula:
(a) Evaluate the discriminant D
D = b² - 4ac = 10² - 4 × (-0.8) × 2 = 100 + 6.4 = 106.4
(b) Solve for x
2. On the Earth
(a) Evaluate the discriminant
D = b² - 4ac = 10² - 4 × (-4.9) × 2 = 100 + 39.2 = 139.2
(b) Solve for x
3. Difference in time of flight
Time on Moon - time on Earth = 12.70 s - 2.22 s = 10.47 s
The ball will stay in flight 10.47 s longer on the moon than on Earth.
The graphs below show the times of flight on the Moon and on Earth