Is six and three a function

Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per

AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by x mi, and that of Erin is given by y mi.

Step 2: To derive the distance covered by Erin and Greg, we use the formula Speed = distance ÷ time.

Which by cross-multiplying gives distance = speed × time.

Let time taken to cover the distance be t h.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for time t.

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

t² = 225/(49 + 81)

t² = 225/130

t² = 1.730769231

t = √1.730769231

t = 1.315587029

t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0

3 years ago

Simplify the rational expression. State any restrictions on the variable. t^2-4t-32/t-8

Leno4ka [110]

1. Factor the expression $t^2-4t-32:$

$t^2-4t-32=(t-8)(t+4).$

2. Since $t-8$ is placed in the denominator of the given expression, then $t\neq 8.$

3. Now the expression can be simplified:

$\dfrac{t^2-4t-32}{t-8}=\dfrac{(t-8)(t+4)}{t-8}=t+4.$

5 0

3 years ago

Read 2 more answers

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of

Fittoniya [83]

Answer:A=x(x-4)-0.5(6)(x-4)-2(7)

Step-by-step explanation:

A=x(x-4)-(0.5(6)(x-4) + 2(7))

A=x(x-4)-0.5(6)(x-4)-2(7)

4 0

2 years ago

X/6 = 10/9 improper fraction in its simplified form

FinnZ [79.3K]

Answer:

$\frac{x}{6} = \frac{10}{9} \\ \therefore \: 9 \times x = 6 \times 10 \\ \therefore \:9x = 60 \\ \therefore \:x = \frac{60}{9} \\ \therefore \:x = \frac{20}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{\therefore \:x = 6\frac{2}{3} }}$

5 0

3 years ago

An airplane is traveling at 1,500 miles/minute and then 5 minutes later reaches a speed of 1800 miles/second. What is the averag

adell [148]

The answer to the problem is 60

8 0

3 years ago