Answer:
<em>The missing number in Sari's factorization is </em><em>3</em><em>.</em>
Step-by-step explanation:
The given polynomial is,

From quadratic equations, applying middle term factorization,



Comparing this to the given expression, the missing number in Sari's factorization is 3.
Answer:
1
Step-by-step explanation:
y2 - y1/ x2 - x1
3-2/ 5-4 = 1/1 = 1
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Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle 51° is calculated as half the difference of the intercepted arcs, that is
(160 - x) = 51 ← multiply both sides by 2 to clear the fraction
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
We have been given that a new kind of rocket takes off along an exponential trajectory, with height, in miles, represented by
, where x is the time, in seconds. We are asked to find the time when the height of the rocket id 8 miles.
To find the time, we will equate height function with 8 and solve for x as:

To solve for x, we will take natural log on both sides as:

We can rewrite 8 as
.

Using natural log property
, we will get:



Therefore, exact solution will be
.


Upon rounding to nearest thousandth, we will get:

Therefore, the height of the rocket will be 8 miles after approximately 1.89 seconds.