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2 years ago

How do i find the proportionality of r

Mathematics

1 answer:

Paha777 [63]2 years ago

3 0

Since the graph is a linear function, we're going to use the slope formula solve this:

Note I am replacing m with k
$k= \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$

Inserting 2 points from the graph, let's use (1,8) and (2,16).

$\frac{16-8}{2-1}

$

k=8

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

3 years ago

What is the measure of UVW in the triangle shown? A. 140° B. 50° C. 60° D. 10°

Vilka [71]

Answer:

Step-by-step explanation:

40 + 90 =130

180-130=50

4 0

2 years ago

Under which condition will two lines not have a common solution

nordsb [41]

Answer:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

7 0

2 years ago

Please help pleaseeeeeee

marysya [2.9K]

Answer:

Step-by-step explanation:

it's basically 2+7

3 0

2 years ago

Read 2 more answers

Given that ABCD congruent to PQRS, solve for m A.0.5 B.2.5 C.3 D.5

34kurt

As the 2 quadrilaterals are congruent the sides of one quadrilateral are equal to the corresponding sides of the other quadrilateral
Hence,
AB = PQ
RQ = BC
AD = PS
DC = RS
Since terms for both AB and PQ are given we can equate the terms and find m
5m -9 = m + 11
5m -m = 11 + 9
4m = 20
m = 5
Correct answer is D , 5

3 0

3 years ago