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4 years ago

Find the slope and the y-intercept of the line. y=4x-5

1 answer:

6 0

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{6em}\underset{y-intercept}{\stackrel{slope}{y=\stackrel{\downarrow }{4}x\underset{\uparrow }{-5}}}\qquad \qquad \begin{cases} slope\\ \qquad 4\\ y-intercept\\ \qquad (0,-5) \end{cases}$

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A, B, C and D are four towns.

djverab [1.8K]

Three of the four towns are on the vertices of the triangle ΔCBD, through

which the bearing can calculated.

<h3>Response:</h3>

The bearing of D from B is approximately <u>209.05°</u>

<h3>Method by which the bearing is found;</h3>

From the given information, we have;

AC = AB = 25 km

∠BAC = 90° (definition of angle between north and east)

ΔABC = An isosceles right triangle (definition)

∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

$tan(\angle ABD) = \dfrac{45}{25}$

$\angle ABD = arctan \left(\dfrac{45}{25} \right) \approx 60.945^{\circ}$

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the

direction of <em>D.</em>

<em />

Therefore;

The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>

Learn more about bearings in mathematics here:

brainly.com/question/10710413

5 0

3 years ago

9 - 4(2x - 1) = 45 please help

ddd [48]

Answer:

$x=-4$

Step-by-step explanation:

$9-4(2x-1)=45$

First, we expand the equation using the distributive rule:

$x(y-z)=xy-xz$

Hence, $9-4*2x-4*-1=45$

Simplify: $9-8x+4=45$

Add like terms:

$13-8x=45$

Subtract 13 from both sides: $-8x=32$

Divide both sides by -8:

$x=-4$

5 0

4 years ago

Which equation can be used to solve for m∠1? m∠1 = One-half(a – b) m∠1 = One-half(a + b) m∠1 = One-half(c – d) m∠1 = One-half(c

Artemon [7]

Answer:

$m\angle 1=\frac{1}{2}(arc\ a+arc\ b)$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measure of the<u><em> interior angle</em></u> is the semi-sum of the arches that comprise it and its opposite.

$m\angle 1=\frac{1}{2}(arc\ a+arc\ b)$

8 0

3 years ago

Read 2 more answers

A driver intends to complete 2 laps on a track that is exactly 1 mile around at an average speed of 60 mph. He gets off to a slo

andrey2020 [161]

Answer:

Goal is not achievable

Step-by-step explanation:

There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.

This means he will take a time of 1/60 hours per lap.

Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h

We now need to know the speed he travels on the second lap.

Average speed = Total distance/Total time

60mph = 2/( 1/30 + T2)

60 = 2/( (1 + 30T2)/30)

60 = 2 divided by (1 + 30T2)/30

60 = 2 * (30)/1 + 30T2

60( 1 + 30T2) = 60

1 + 30T2 = 1

30T2 = 0

T2 = 0

This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.

4 0

4 years ago

Need help on em punett sqaures

marissa [1.9K]

Answer:

Black Fur: 100% White Fur: 0%

Step-by-step explanation:

B B

b Bb Bb (all dominant)

b Bb Bb

Black Fur: 100% White Fur: 0%

8 0

3 years ago

Read 2 more answers