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3 years ago

A cyclist rides a bike 18 miles in 3 hours. If riding at a constant rate, how far can the cyclist ride in 1 hour

Mathematics

2 answers:

vovangra [49]3 years ago

4 0

Answer:

Step-by-step explanation:

You can use VERY simple division here.

18/3 because of a constant rate of change is the answer for your one hour

of which is a simple and commonly known answer considering the fact it comes out as an even integer (6)

kodGreya [7K]3 years ago

3 0

Answer:

6 miles per hour

Step-by-step explanation:

18 divided by 6 = 3

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Express using a negative exponent. 1/z^9

slamgirl [31]

According to the rules of indices:
1/a^b=a^-b
thus using this rule, our value will be expressed as follows:
1/z^9=z^-9
Hence the answer is: z^-9

4 0

3 years ago

PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3

FromTheMoon [43]

Answer:

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

4 0

3 years ago

2x + y =5 solve the system of equations by inspection

olga2289 [7]

Answer:

Slope=− 2.000/4.000 =−2.000

x−intercept= 2/5=2.50000

y−intercept= 1/5=5.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x+y-(5)=0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-5 = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000

x-intercept = 5/2 = 2.50000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 5.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

8 0

3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude