Answer:
e,q,u,a,t,i,n & EQUATIONYL
Step-by-step explanation:
K∩L:
First write both the words, equation and inequality down.
E Q U A T I O N
I N E Q U A L I T Y
You can see EQUATIN repeats in both of the words.
K∪L:
First write both the words, equation and inequality down.
E Q U A T I O N
I N E Q U A L I T Y
This time just write down all the letters EXCEPT the ones that repeat. EQUATIONYL
Answer:
Component form : (-7 , 2)
Step-by-step explanation:
P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)
4 + x = -3
x = -3 - 4
x = -7
5 + y = 7
y = 7 - 5
y = 2
Vector form : -7i + 2j
Component form : (-7 , 2)
45/2 can't be simplified.
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
<span>42x - 7y = 7(6x - y)
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<span>I hope this helps</span>
