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miss Akunina [59]
3 years ago
14

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us

e?
Mathematics
2 answers:
Masteriza [31]3 years ago
7 0
Barry will use the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 - 3)² + (7 - 1)²]
d = 6.08 units
serg [7]3 years ago
6 0

Answer:

Barry will use the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(4 - 3)² + (7 - 1)²]

d = 6.08 units

Step-by-step explanation:

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An object is launched vertically upward from a 25 foot platform and is modeled by the function s(t)=−16t2+11t+25.
ch4aika [34]

Correct option:

d. 1.64

<h2>Explanation:</h2>

An object is launched vertically upward from a 25 foot platform and is modeled by the following function:

s(t)=-16t^2+11t+25

So this is the equation of a parabola because the object is a projectile so it follows the Projectile Motion.

The object fall back to the ground when s(t)=0 so:

-16t^2+11t+25=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ t_{12}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16 \\ \\ b=11 \\ \\ c=25 \\ \\ \\ t_{12}=\frac{-11\pm \sqrt{11^2-4(-16)(25)}}{2(-16)} \\ \\ t_{12}=\frac{-11\pm 41.48}{-32} \\ \\ t_{1}=\frac{-11+ 41.48}{-32}=-0.95s \\ \\ t_{2}=\frac{-11- 41.48}{-32}=1.64s

Since time can't be negative, we only choose the positive value. therefore:

<em>The object fall back to the ground after 1.64 seconds</em>

<em></em>

<h2>Learn more:</h2>

Projectile motion: brainly.com/question/12554459

#LearnWithbrainly

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Check the picture below.

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