Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44. 
⇒ 
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)
Answer:
-x^2+15y-15
Answer if it is a ^2
Step-by-step explanation:
2x^2 + 6y - 3 -(3x^2 - 9y + 12)=
2x^2+6y-3-3x^2+9y-12=
-x^2+15y-15
is it a ^2 or a question mark
Answer:
m∠1 = 52°
m∠3 = 52°
Step-by-step explanation:
Step 1:
Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.
Step 2:
Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed
Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°
Answer:
2.
i) (c)
ii) (d)
iii) (b)
iv) (a)
3.
ii) 80°
Step-by-step explanation:
2.
i) 2x+x+3x=180°
x=30°
ii) x+110=180
x=70
iii) x+2x+30°=180
x=50°
iv) 2x+15°+45°+x=180
3x+60°=180
x=40°
3.
ii) 2x+5+25=180°
2x+30°=180°
x=75°
the measure: x+5°= 75°+5°=80°
Answer:
Step-by-step explanation:
An ellipse with vertices (-8, 0) and (8, 0)
Distance between two vertices = 2a
Distance between (-8,0) and (8,0) = 16
2a= 16
so a= 8
Vertex is (h+a,k)
we know a=8, so vertex is (h+8,k)
Now compare (h+8,k) with vertex (8,0) and find out h and k
h+8 =8, h=0
k =0
a minor axis of length 10.
Length of minor axis = 2b
2b = 10
so b = 5
General formula for the equation of horizontal ellipse is
a= 8 , b=5 , h=0,k=0. equation becomes
