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3 years ago

Determine the intercepts of the line.

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

7 0

The y-int is (0, 0.4) and the x-int is (0.3,0).

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Given the line below.

Roman55 [17]

Answer:

The equation of the line in point slope form is equal to

$y+2=(x+2)$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,-2) and (2,2)

substitute the values

$m=\frac{2+2}{2+2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\(x1,y1)=(-2,-2)$

substitute the values in the formula

$y-(-2)=(1)(x-(-2))\\y+2=(x+2)$

5 0

3 years ago

The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.

Aleks [24]

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

6 0

3 years ago

Youssef can either way from his home to his workplace or ride his bicycle. he walks at a pace of 1 block per min, but he can tra

alex41 [277]

Youssef lives 15 blocks away from his work

Solution:

Given that Youssef can either way from his home to his workplace or ride his bicycle

Let "x" be number of blocks away from work Youssef works

Case 1: walking

He walks at a pace of 1 block per min

Therefore,

1 block = 1 minute

Thus to cross "x" blocks he takes "x" minutes

Case 2: Bicycle

He can travel 1 block in 20 sec on his bicycle

We know that,

To convert seconds to minute, divide the time value by 60

$\rightarrow 20 seconds = \frac{20}{60} minutes = \frac{1}{3} minutes$

Thus he takes 1/3 minutes for 1 block

So to cross "x" blocks he will take $\frac{x}{3}$ minutes

Given that it takes youssef 10 min longer to walk to work than to ride his bike

This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes

$\rightarrow x - \frac{x}{3} = 10\\\\\rightarrow \frac{3x - x}{3} = 10\\\\\rightarrow \frac{2x}{3} = 10\\\\\rightarrow x = \frac{30}{2}\\\\\rightarrow x = 15$

Thus he lives 15 blocks away from his work

4 0

3 years ago

From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,

natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

$y(1) = 43e(1/2) = 70.895$

In the period 1970-1980, we have x = 2, and the growth is:

$y(2) = 43e(2/2) = 116.8861$

The growth in the following 3 periods are:

$y(3) = 43e(3/2) =192.7126$

$y(4) = 43e(4/2) = 317.7294$

$y(5) = 43e(5/2) =523.8472$

So the total growth in the period 1960 - 2010 is:

$Total = y(1) + y(2) + y(3) + y(4) + y(5)$

$Total = 70.895 + 116.8861+192.726+317.7294+523.8472$

$Total = 1222.08\ billion\ dollars$

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

6 0

3 years ago

A grade 2 class was playing guess my rule

Setler [38]

21-8=13 so hope that helps x

5 0

3 years ago