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Elodia [21]
3 years ago
12

Find the slope and y-intercept of the following graph.

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer: y = -5*x + b

Step-by-step explanation:

A line is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:

a = (y2 - y1)/(x2 - x1)

In this case we can see that the line passes through the points:

(0, 2) and (1, - 3)

Then the slope is:

a = (-3 - 2)/(1 - 0) = -5

Then our line is:

y = -5*x + b

And when x = 0, y = 2 then:

y = 2 = -5*0 + b

2 = b

Our line is:

y = -5*x + b

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An arc has a central angle of 1.8 radians and a radius of 20
Nutka1998 [239]

Answer:

a) <em>Arc  length (l) = 36 inches</em>

b)

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

<u><em>Step(i):</em></u>-

An arc has a central angle of 1.8 radians and a radius of 20  inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

<em> Arc  length (l) = r θ </em>

<em>                  l = 20 × 1.8 radians</em>

<em>               l  = 36</em>

The length of arc = 36 inches

b)

<em>we will convert radians to degree</em>

<em> 1.8 × 180° / π =  324° / π ≅ 103.18°</em>

The nearest angle in degrees θ = 103.18°

                           

3 0
3 years ago
ASAP!! WILL GIVE BRAINLIEST!! What is the equation of the line through (4, 5) and (0, -3)?
Darina [25.2K]

Answer:

A. y = 2x - 3

Step-by-step explanation:

5 0
2 years ago
Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.2
Gre4nikov [31]

Hope this helps! :) Took me a long time...

Answers:

a.  $131.44


b. $906.44


c.  $32.86


d.  $32.86

e.  $32.86

f. $807.86


g. $34.25


h.  Ryan earned  more; he earned interest on top of his interest since he opened up a new account.

4 0
3 years ago
Read 2 more answers
Solving system of equations by substitution
weeeeeb [17]
Y=3x-10 and 3x+2y=16
y=3x-10
subsitute 3x-10 for y in other equation

3x+2y=16
3x+2(3x-10)=16
distribute
3x+6x-20=16
9x-20=16
add 20 both sides
9x=36
divide both sides by 9
x=4

sub back

y=3x-10
y=3(4)-10
y=12-10
y=2

x=4
y=2
(4,2) is soluiton
5 0
3 years ago
The diameter of a circle is 6 in. Find its area to the nearest tenth.
Marrrta [24]

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = \pi r^2

Diameter is equal to the radius times 2.

<u>So, divide the diameter to get the radius.</u>

6 divided by 2 equals 3.

<u>Now, plug it into the formula.</u>

A = \pi (3)^{2}

A = 9\pi

Plug this into your calculator by multiplying 9 by pi.

<u>We get the answer to be 28.3 when rounded to the nearest tenth.</u>

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