Answer:
a4 = 128
a5 = -512
Step-by-step explanation:
a1= -2
q= (-1)^(n+1) × 4
a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128
a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512
Answer:
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Step-by-step explanation:
Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.
Initial velocity u with which the ball is projected upwards = + 120 ft/s
Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Using the formula:
v² - u² = 2 a h,
where
u = initial velocity of the ball = +120 ft/s
v = final velocity of the ball at the highest point = 0 ft/s
a = uniform acceleration acting on the ball = -32 ft/s²
h = height attained
Substituting the values we get;
0² - 120² = 2 × (- 32) h
=> h = 120²/2 × 32 = 225 feet
The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.
Answer: you can use desmos and type it in just like that a graph will pop up. Go to google and type in desmos
Step-by-step explanation:
Answer:
20 unit²
Step-by-step explanation:
A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.
<u>From </u><u>the</u><u> </u><u>grid</u><u> </u><u>:</u><u>-</u>
Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

Step-by-step explanation:
Step 1: Write our Givens

Move the constant term ,(the term with no variable) to the right side.
Here we have a negative 7, so we add 7 to both sides

Next, we take the linear coeffeicent and divide it by 2 then square it.

Then we add that to both sides


Next, we factor the left,

we got 5 because 5 add to 10 and multiply to 25 as well.
so we get

This is called a perfect square trinomial.
Next, we take the square root of both sides

± menas that we have a positive and negative solution.
Subtract 5 form both side so we get

The greater solution is when sqr root of 32 is positive so the answer to that is
