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Step-by-step explanation:

1. Pick two points on the line and use them to find the slope.

2. Then, find the coordinates of the y-intercept.

3. The y- coordinate is the value of b in the equation.

Answer:

Step-by-step explanation:

First find the slope of the line.

If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).

Then we can use the point-slope form of the equation of the line:

y - y1 = m(x - x1)  where m = the slope and by substituting the point (x1, y1) we can  convert the equation to slope intercept form ( which is y = mx + b).

Example:

Find slope-intercept equation for the line joining  the points (1, 0) and (3, 4):

The slope = (4 - 0)/(3 - 1) = 4/2 = 2.

Now we plug in the slope m and the point (3, 4) into  y - y1 = m(x - x1):

y - 4 = 2(x - 3)       (Note we can use (1, 0) OR (3, 4) as they are both on line).

y - 4 = 2x - 6

y = 2x - 6 + 4

y = 2x - 2 which is slope-intercept form.

Answer:

the polygons are similar bc they both share the same angles and DF is equal to AB and EF is equal to AC and DE is equal to BC

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

Answer:

6.37 x 10^-2 =0.0637

Answer:

-3

Step-by-step explanation:

Answer:

I think it’s C

Step-by-step explanation:

Answer:

88.2

80(1+0.05)* 2

Step-by-step explanation:

The number of birds in the park in 1997 is given by the equation A = 88.2 birds

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the number of birds in 1997 be represented as A

Now , the equation will be

The number of birds in 1995 x₀ = 80 birds

The time n = 1997 - 1995 = 2 years

The percentage of increase r = 5 %

The number of birds A is calculated by exponential growth factor ,

Substituting the values in the equation , we get

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 2 ) = 80 ( 1 + ( 5/100 ) )²

On simplifying the equation , we get

x ( 2 ) = 80 ( 1 + 0.05 )²

x ( 2 ) = 80 ( 1.05 )²

x ( 2 ) = 80 x 1.1025

x ( 2 ) = 88.2 birds

Therefore , the value of A is 88 birds

Hence , the number of birds is 88 birds

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Answer:

Just watch the video

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

65*2=130

Answer: 96

Step-by-step explanation:

From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:

= 2.4 / 0.025

= 96

Therefore, 96 shorter pencils can be gotten

Answer:

96

Step-by-step explanation:

(0v0) '

Answer:

Sierra=2songs

Matt=7songs

Yun SIl=14songs

step-by-step explanation:

Step 1

Let,The number of songs YunSil added = x

Number of songs Matt added = y

And number of songs Sierra added = z

Such that Matt has 5more than Sierra =y = 5 +z

Yun SIl has 2 times more thann Matt, x = 2y

x =2(5+z)=10 +2z

Step 2

The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3

Such that

YunSil+Matt+Sierra==15 +z^3

10+2z+ 5+z +z = 15 +z^3

4z +15 = 15 +z^3

4z=15-15+z^3

4z=+z^3

4=z^3/z

4=z^2

Z=√4 =2

Therefore Sierra has z=2songs

Matt has 5+z=5+2=7songs

YunSil has 2(5+z)= 2x7=14songs

The song that are on each person player are as follows;

matt song = 7

Yung Sil song = 14

Sierra song = 2

Let

a = Matt song added

b = Yun Sil song

c = Sierra song =

Therefore,

b = 2a

a = c + 5

(c + 5 + 2a + c)  - c³ = 15

(2c + 2(c + 5) + 5) - c³ = 15

2c + 2c + 10 + 5 - c³ = 15

4c + 15 - c³ = 15

4c - c³ = 0

c³ = 4c

c² = 4

c = √4

c = 2

a = 2 + 5 = 7

b = 2(7) = 14

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Answer:

m<C = 34.4 °

Step-by-step explanation:

From the question given above, the following data were obtained:

Opposite = AB = 35

Hypothenus = AC = 62

Angle C =?

The value of m<C can be obtained by using sine ratio as illustrated below:

Sine C = Opposite /Hypothenus

Sine C = 35 / 62

Sine C = 0.5645

Take the inverse of sine

C = Sine¯¹ 0.5645

C = 34.4 °

Thus,

m<C = 34.4 °

Answer:

A.  Yes; no value in the domain corresponds to more than one value of the range.

Step-by-step explanation:

There is no domain value that corresponds to more than one range value.

If you graph the ordered pairs on a coordinate plane, you cannot draw a vertical line that passes through more than one point.

Answer:

i think its 12%

Step-by-step explanation:

Answer:

3x + 21 or 21 + 3x

Step-by-step explanation:

Remark

This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.

Solution

What this is saying is two things.

1. you must multiply both terms on either side of the + sign by the factor outside the brackets.

2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.

3(7 + x)           The terms are not the same, so your answer must have a plus sign

Left side of the plus: 3*7

Right side of the plus: 3 * x

The answer then is 21 + 3x

It is more commonly written as 3x + 21

Answer:

4 variables

Step-by-step explanation:

Hope you pass your test!

Answer:

Length of truck = 160 +7% of 160 = 160 +11.2 = 171.2inches

Answer:

Solution:

24 divided by 5 = 4.8

round 4.8 down to 4

10 times 4 = 40

Martin earned 40 dollars.

Step-by-step explanation:

Hope this helped!

Answer:

Martin earn $48

Step-by-step explanation:

24/5 = 4.8

4.8 x 10 = 48

So Martin earn $48

Answer:

1.25 and if you round that its 1

Answer:

Not propotinoal

propotional

Step-by-step explanation:

Thats all i can give you

Answer: See explanation

Step-by-step explanation:

A. 7(s + c)

= 7s + 7c

B. The cost of a science fiction novel is $5.99 and the cost of a comic book is $6.49. Sales tax is 6%. The total amount that Julio spent at the bookstore would be calculated as:

= 7s + 7c

= 7($5.99) + 7($6.49)

= $41.93 + $45.43

= $87.36

We then add tax which will then be:

= $87.36 + (6% × $87.36)

= $87.36 + (0.06 × $87.36)

= $87.36 + $5.24

= $92.60

Answer:

the answer is 2

Step-by-step explanation:

Answer: The boys ate 2 more pizza's than the girls.

Step-by-step explanation:

Girls = 3 pizzas

Boys = 5 pizzas

Now subtract them:

5 - 3 = 2

Answer:

120.

Step-by-step explanation:

Using the Pythagoras theorem:

(30√2)^2 = x^2 + x^2         where x =length of each side of the square

1800 = 2x^2

x^2 = 900

x = 30.

So the perimeter = 4*30 = 120.

Answer: 52 dollars

Step-by-step explanation:

Cameron's hourly salary is 13, which means that for each hour she works, she earns 13 dollars.

If she words from 9 - 12, then that is 3 hours. Then she has a lunch break from 12 - 1, and then works again until 2. The time period between 1 and 2 o'clock is 1 hour.

Now we have to add up the total hours that Cameron works. If she worked 3 hours in the morning, and then 1 hour after lunch, then the total is 4 hours. Now we have to mutliply 4 by 13 to find her salary for that day.

4 x 13 = 52. Therefore, Cameron made 52 dollars that day.

Answer:

14:61

Step-by-step explanation:

Answer:

The answer is 14:61

Step-by-step explanation:

it can be written also as a fraction

Answer:

the blue green algae which is also the most success wishes one in the algae group for the elevator

Answer:

Slope=1

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine 13 1 3 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 13

Answer:

slope={-3-6}/(-1-4)=-9/-5=9/5

Answer:

slope is 3/5 very simple