2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
Answer:
b. 4x^2 -7x +5
Step-by-step explanation:
When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...
(7x^2 -5x +4) - (3x^2 +2x -1)
= (7 -3)x^2 +(-5 -2)x +(4 -(-1))
= 4x^2 -7x +5 . . . . . matches B
cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
=
+ 
=
+ 
= 64 + 25
hypotenuse = 
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) = 
Cos A = 
Cos A = 0.8511
A =
(0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) = 
Tan B = 
Tan B = 1.6
B =
(1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
Learn more about cos at
#LearnwithBrainly
1. If Martin climbs 3 1/3 meters in the first one 1/6 hour, then he climbs
meters per hour. Then, option A is correct and options C and E are false.
2. If Alexia climbs 17 1/2 in the first 5/6 hour, then she climbs
meters per hour and it takes Alexia
of an hour to climb 1 meter. Then options B and D are correct and option F is false.
Answer: correct options are A, B and D.