100 points! Need help! 1: At what point(s) do these graphs intersect?
y=x^2+4x+3
y=4x+12

Seth’s solution:
y=x^2+4x+3
y=4x+12
x^2+4x+3=4x+12
x^2-9=0
x^2=9
x=3
The graphs intersect at .
Is Seth’s solution correct? Explain.

2: A rocket is launched vertically from the ground with an initial velocity of 48 .
(a) Write a quadratic function that shows the height, in feet, of the rocket t seconds after it was launched.
(b) Graph on the coordinate plane.
(c) Use your graph from Part b to determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.

slope intercept form is y = mx + b