Triangle Perimeter: Add up the sides of the triangle.
26 + 24 + 10 = 60
The triangles perimeter is 60.
Triangle Area: height * base divided by 2
10 * 24 = 240
240/2 = 120
The triangles area is 120.
First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8
Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3
Third step
Factor
(X+3)(x+1)=0
If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)
The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)
The change of displacement with respect to time is defined as speed. Velocity is a vector quantity. The instantaneous velocity at t = 2 is -12.
<h3>What is velocity?</h3>
The change of displacement with respect to time is defined as Velocity. velocity is a vector quantity. It is a time-based component. Its standard unit is m/sec.
Given that the position of an object at time t is given by s(t) = 1 - 12t. Therefore, the velocity of the object can be written as,
V = ds/dt
= d(1 - 12t)/dt
= -12
s'(t) = -12
Now, the instantaneous velocity at t=2 is,
s'(2) = -12
Hence, the instantaneous velocity at t = 2 is -12.
To learn more about Velocity:
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Answer:


Step-by-step explanation:
<h3>Question-1:</h3>
so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,
to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

to solve the equation can consider the quadratic formula given by

so let our a,b and c be -4.9,229 and 346 Thus substitute:

remove parentheses:

simplify square:

simplify multiplication:

simplify Substraction:

by simplifying we acquire:

since time can't be negative

hence,
at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs
<h3>Question-2:</h3>
to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

let a and b be -4.9 and 229 respectively thus substitute:

simplify which yields:

now plug in the maximum t to the function:

simplify:

hence,
about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?
Answer:
9
-3x-12
9
+6x-7-9x-5
(Group liked terms)
9
+6x-9x-7-5
( subtract the numbers ) -7-5= -12
9
+6x-9x-12
( add similar elements ) 6x-9x=-3x
9
-3x-12
Step-by-step explanation: