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bogdanovich [222]
3 years ago
10

PLEASE HELP!! WILL GIVE 200 POINTS PLUS BRAINLY!!!

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Step-by-step explanation:

lisov135 [29]3 years ago
3 0

brainly.com/question/11874728 here is the answer! pls give brainliest

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mestny [16]

Answer:

D. {x:-8≤x<-5}

Step-by-step explanation:

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Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.
pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

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By using the property

(u+v)\cdot (u-v)=0

We know that

(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2

\mid u\mid ^2-\mid v\mid^2=0

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