Answer:
3.8
Step-by-step explanation:
We are going to plug in the values of the equation, so h(t)=-4.9^2+v0t+h0 will
now be h(t)=-4.9^2+0+70
Now we will find the a b and c of the equation, a=-4.9 b=0 c=70
Now we must find the discriminant of the equation, which the equation for that is D=b^2+(-4)(a)(c)
So D=1,372
Now we use the quadratic formula (see picture below for finished product)
Answer:
d = 10 m
Step-by-step explanation:
Given that,
tLauren is 6 meters straight behind Alexa and 8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,

So, the distance between Alexa and Danielle is 10 m.
Answer:
24 cm^2
Step-by-step explanation:
The three sides are equal (SSS: side, side, side) so the triangles are congruent.
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
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<h2>
Explanation:</h2>
We use an equation to say that two things are equal. An equation always has an equal sign "=". So an equation tells us that the left side is equal to the right side. In this case, we have the following equation:

So the only value that makes this equation to be true is 5, because:

For instance, let's choose another value, say, 8. So substituting:
