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My name is Ann [436]
3 years ago
14

On a business trip, Jon must drive from his office to a clients's office, a distance of 216 miles. He sets off a 8 a.m. Suppose

that he drives at a constant speed of 66 mph. Find the rule of the function f(t) that gives his distance from the client's office at time t hours (with t = 0 corresponding to 8 a.m.) A. f(t) = 216 + 66t B. f(t) = 216 - 66t C. f(t) = 66 D. f(t) = 216-66 66
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

b.) f(t) = 216 - 66t

Step-by-step explanation:

Since we consider t and time travelled in hours and we are given that the average speed of Jon is 66mph, then we can calculate the distance travelled at any point in time by Jon.

Distance = Speed * time.

Distance = 66 * t = 66t.

Since total distance from clients house 216 miles and distance travelled by Jon at any point in time is 66t, then remaining distance to be covered from the clients house, that is distance between Jon and the clients house becomes:

Distance from client house = 216 - 66t.

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valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

5 0
2 years ago
Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos
gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If

A^2 + B^2 < C^2

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

A^2 + B^2 < C^2

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

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3 0
2 years ago
Now solve the equation 4(x+3)=8. Remember to: Build the equation on your Equation Mat with algebra tiles. Simplify the equation
Ymorist [56]

Answer:

x=-1

Step-by-step explanation:

4(x+3)=8

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3 years ago
What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​
Andrews [41]
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

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We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

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We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

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7 0
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Find the exact value under the given conditions.
Leni [432]
Answer:
I think is B
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