Answer:
The distance between (-1,5) and (2,5) is √9 or 3.
Step-by-step explanation:
Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.
Now to the answer. To start you use the distance formula. which is:
d=√( (x2-x1)²+(y2-y1)²)
Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.
When you solve it should look like this:
1. d=√( (x2-x1)²+(y2-y1)²)
2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*
3. d=√( (3)²+(0)²)
4. d=√( 9+0)
5. √9 = 3
Answer:
We simplify the equation to the form, which is simple to understand
5x+25=10
We move all terms containing x to the left and all other terms to the right.
+5x=+10-25
We simplify left and right side of the equation.
+5x=-15
or this is another way
Simplifying
5x = 25 + -10
Combine like terms: 25 + -10 = 15
5x = 15
Solving
5x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = 3
Simplifying
x = 3
We divide both sides of the equation by 5 to get x.
x=-3
Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
#SPJ1
47.5 6s in 285
I hope this helps =]
