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4 years ago

(-1,5) (0,2) in slope intercept form

Mathematics

1 answer:

xeze [42]4 years ago

7 0

Answer:

Step-by-step explanation:

(-1,5) (0,2)

y2= 2, y1 = 5, x2 = 0, x1 = -1

Slope m = [y2 - y1]/[x2 - x1]

m = {2 - 5}/{0+1}

m = -3/1

m = -3

And

y - y1 = m(x - x1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

y = -3x - 3 + 5

y = -3x + 2

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You are riding along a straight river from east to the west at speed of 160m/m. At a given time, you will see the bearing of a c

yuradex [85]

Using the given information, the width of the river is 505.96 m

<h3>Bearing and Distances</h3>

From the question, we are to determine the width of the river

Consider the given diagram,

Let F be the first position of the biker

S be the second position

and C be the position of the church

First, we will determine the distance covered from F to S

Speed = 160m/min

Time = 4 minutes

Using the formula,

Distance = Speed × Time

Distance covered = 160 × 4

Distance covered = 640 m

That is, /FS/ = 640 m

Now, consider ΔFSC

∠F = 90° - 70° = 20°

∠S = 90° + 56° = 146°

and ∠C = 180° - 20° - 146° = 14°

By the Law of Sines

$\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}$

∴ $\frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}$

$/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}$

/FC/ = 1479.33 m

Now,

By SOH CAH TOA

$cos \ 70^\circ = \frac{d}{/FC/}$

NOTE: d is the width of the river

∴ d = /FC/ × cos70°

d = 1479.33 × cos70°

d = 505.96 m

Hence, the width of the river is 505.96 m

Learn more on Bearing and distances here: brainly.com/question/19351991

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7 0

2 years ago

samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many

Morgarella [4.7K]

Answer:

20 = 6m or m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

7 0

3 years ago

Read 2 more answers

(x+5)(x-5)x^(3) please simplfy thanks in advance babes(✿◠‿◠)

inn [45]

Answer:

$x^{5}$ - 25x³

Step-by-step explanation:

Given

(x + 5)(x - 5)x³ ← expand the factors using FOIL

= (x² - 25)x³ ← distribute

= $x^{5}$ - 25x³

6 0

3 years ago

Read 2 more answers

Solve the following equation for a. Be sure to take into account whether a letter is

Zina [86]

Answer:

a = $\frac{r-q}{g}$

Step-by-step explanation:

Given

ga + q = r ( subtract q from both sides )

ga = r - q ( isolate a by dividing both sides by g )

a = $\frac{r-q}{g}$

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3 years ago

EXPERTS/ACE/TRUSTED HELPERS helpppp meeeeeeeee plzzzz

Arturiano [62]

angle 1 = 48

angle 2 = 132

angle 3 = 132

angle 5 = 48

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4 years ago