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VMariaS [17]
3 years ago
15

Ingrid hit a golf ball. The height of the ball (in meters above the ground) t seconds after being hit is modeled by h(t)=-5t^2+3

0t
Ingrid wants to know when the ball reached it’s highest point.
1/ rewrite the function in a different form(vertex or factored) where the answer appears as a number in the equation
h(t)=
2/ how many seconds after being hit does the ball reach its highest point?
Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

1) h(t) = -5(t-3)^2

2) The ball reaches the highest point at 3 seconds.

Step-by-step explanation:

OK. So for this question, I recommend to rewite using vertex form since the answer is given in a more concise manner than using factored.  

First Step:

h(t) = -5t^2+30t

= -5(t^2-6t)

= -5(t^2-6t+9)+45

= -5(t-3)^2+45

Second Step:

The vertex form reveals the vertex to be at (3, 45).

Therefore, the ball reaches the highest point at 3 seconds.

You might be interested in
Demetrius deposits $120 iinto his account. One week later he withdraws $36. Write an addition sentence to represent this situati
Zolol [24]

Answer:

Demetrius's account is $84 higher after the two transactions

Step-by-step explanation:

Let

x -----> original amount in Demetrius's account

y ----> amount in Demetrius's account after the deposit and the withdraws

we know that

The amount in Demetrius's account after the two transactions must be equal to the original amount in Demetrius's account plus the deposit minus the withdraws

so

y=x+120-36

y=x+\$84

therefore

Demetrius's account is $84 higher after the two transactions

3 0
3 years ago
Halla el área de un triángulo equilátero de 54 cm de perímetros
adoni [48]

Answer:

Area of equilateral triangle = 81√3 cm²

Step-by-step explanation:

Given:

Perimeter of an equilateral triangle = 54 cm

Find:

Area of equilateral triangle

Computation:

Perimeter of an equilateral triangle = 3 x Side

54 = 3 x Side

Side of equilateral triangle = 54 / 3

Side of equilateral triangle = 18 cm

Area of equilateral triangle = [√3/4]side²

Area of equilateral triangle = [√3/4][18]²

Area of equilateral triangle = [√3/4][324]

Area of equilateral triangle = [√3][81]

Area of equilateral triangle = 81√3 cm²

5 0
3 years ago
1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

6 0
2 years ago
I will give branliest to the first person to answer!
lara31 [8.8K]

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

8 0
3 years ago
If f(x)=7x, which of the following is the inverse of f(x)?
8090 [49]
The inverse is f¯¹(x)=x/7.
3 0
3 years ago
Read 2 more answers
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