Eccentricity = foci / half the length of the major axis
= 3.5 / 14 = 1/4
Hey mate. Here is your answer.
Set up the composite function and evaluate.
g (17x^2 - 10x) = 153x^2 - 90x - 9
Hope this helps.
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:
180°-53°-90°
=37°
Therefore ∠z=37°.
Hope it helps!
Step-by-step explanation:
sorrry .......................
