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Ket [755]
2 years ago
11

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart aft

er 30 minutes?​
Mathematics
1 answer:
Kisachek [45]2 years ago
4 0

Answer:

they travel 115 km/h long

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Find each of the following for ​
KATRIN_1 [288]
<h2>Answer:</h2>

(a)

          f(x+ h)=8x+8h+3  

(b)

            f(x+ h)-f(x)=8h          

(c)

             \dfrac{f(x+ h)-f(x)}{h}=8

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as :

              f(x)=8x+3

(a)

           f(x+ h)

We will substitute (x+h) in place of x in the function f(x) as follows:

f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3

(b)

       f(x+ h)-f(x)              

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h

(c)

           \dfrac{f(x+ h)-f(x)}{h}            

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

           \dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8    

5 0
2 years ago
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d
Nesterboy [21]

The distance between the two points on the number line is of \mathbf{\frac{5}{9}} units.

-------------------------------------------

  • The distance between two numbers on the number line is given by the <u>subtraction of the greater by the smaller number.</u>
  • The greater number is -\frac{2}{9}
  • The smaller is -\frac{7}{9}.
  • The distance is:

-\frac{2}{9} - (-\frac{7}{9}) = -\frac{2}{9} + \frac{7}{9} = \frac{-2 + 7}{9} = \frac{5}{9}

Thus, distance of \mathbf{\frac{5}{9}} units.

A similar problem is given at brainly.com/question/10795861

8 0
2 years ago
What is the arc length of arc CD in the circle below?
lord [1]
The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
                            S = (30° / 360°) x 2 x π x (6 ft)
                                 S = π
The angle intercepted an arc which measures π feet. The answer is letter A. 
4 0
2 years ago
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What is the variance for 34, 46, 52, 29, 41, 38, 36, and 28
horsena [70]

Answer:

38

Step-by-step explanation:

add all the numbers and divide that number by the amount of numbers there.

34+46+52+29+41+38+36+28 / 8 = 304/8 = 38

8 0
3 years ago
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What is the range of the function for the given domain
AleksAgata [21]

Answer:

thethe answer is the 3rd one

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