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In-s [12.5K]
3 years ago
10

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the numbe

r of seconds, and d, the total distance the wave travels?
Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

<u>Required</u>

<u>the expression relating t and d</u>

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

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sergey [27]

Answer:

y=(x+4)^{2}-37

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a> 0 then the parabola open upward (vertex is a minimum)

if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=x^{2}+8x-21

Convert to vertex form

Complete the square

y+21=x^{2}+8x

y+21+16=(x^{2}+8x+16)

y+37=(x^{2}+8x+16)

y+37=(x+4)^{2}

y=(x+4)^{2}-37 --------> equation in vertex form

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4 0
3 years ago
Read 2 more answers
Find the point B on AC such that the ratio of AB to BC is 2:3
Virty [35]

Answer:

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Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

x_{B} = \frac{3(2)+2(7)}{2+3} = \frac{6+14}{5} = \frac{20}{5} = 4

y_{B} = \frac{3(-7)+2(3)}{2+3} = \frac{-21+6}{5} = \frac{-15}{5} = - 3

Hence B(4, - 3 )

3 0
3 years ago
Isaiah takes 25 hours to treat 75 lawn with an organic fertilizer at a housing complex The lawns in the complex are the same siz
sergeinik [125]

Isaiah will mow 9 lawns in 3 hours at the given rate.

Step-by-step explanation:

Given,

Lawns mowed in 25 hours = 75 lawns

We will find unit rate in terms of lawns;

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1 lawn = \frac{25}{75}=\frac{1}{3}\ hour

9 lawns = \frac{1}{3}*9

9 lawns = 3 hours

Isaiah will mow 9 lawns in 3 hours at the given rate.

Keywords: unit rate, fraction

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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Which conversion requires multiplication?
Taya2010 [7]

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C

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