Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

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Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

Answer: x-5 / x

Step-by-step explanation:

because…

Answer:

[tex]\frac{x - 5}{x}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]

It can also be written as :-

[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]

[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]

Cancel x + 4 from numerator and denominator.

[tex]=> \frac{x - 5}{x}[/tex]

Answer:

Because you cant combine unlike terms. And the goal is to get X by itself.

-9 is the answer

Step-by-step explanation:

Answer:

x = 5

Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.

Step-by-step explanation:

2x + (3x + 2) + (4x + 1) = 48

9x + 3 = 48

x = 5

Answer: Forget about imaginary roots.

Draw an x axis and a y-axis, at right angles.

Place a dot at y=250.

Place a dot at x=60 and place a dot at x=120.

Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.

In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120.  Continue upward indefinitely. You have created another local min, at about x=90.

The smooth polynomial curve will have a local max at(0,250).

Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.

Step-by-step explanation:

i hope this helps

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]

[tex]5y = - 3x + 15[/tex]

Now solve for y by dividing each term by 5.

[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]

Now simplify.

[tex]y = \frac{ - 3}{5} x + 3[/tex]

The slope is

[tex] - \frac{3}{5} [/tex]

Answer:

Step-by-step explanation:

=> 8.2x + 9y + 2(2.5x) + 10xy

=> 8.2x + 9y + 5x+ 10xy

=> 13.2x + 9y + 10xy

Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.

Answer:

36

Step-by-step explanation:

33.33333...% is 1/3 of a number

1/3 of 36 is 12

12(3)=36

Answer:

The slope is 8

Step-by-step explanation:

Step-by-step explanation:

3/(4(x+2)) = x/(x+2)

the common denominator would have to be 4(x+2).

to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.

and then we get

3/(4(x+2)) = (4x)/(4(x+2))

and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.

3 = 4x

and therefore we can solve

x = 3/4

and D is then the right answer choice.

Answer:

Step-by-step explanation:

Answer:

A(-3,2)B(3,7) and C(4,-4)

Step-by-step explanation:

these are the new coordinate

Answer:

Step-by-step explanation:

Area of trapezoid:

Substitute values:

Answer:

39 cm²

Step-by-step explanation:

Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]

=> [tex](\frac{4 +9}{2}) 6[/tex]

=> [tex](\frac{13}{2} )6[/tex]

=> 13 x 3

=> 39 cm²

Hoped this helped.

Answer:

B. 0

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( − 3 , 0 )

Answer:

No, the ratio is a bit inconsistent.

Step-by-step explanation:

The relationship between 14 and 84 red beads is multiplying by 6.

The relationship between 19 and 133 gold beads is multiplying by 7.

Hope this helps,

A cheerful teen willing to help,

stay positively safe!

Answer:

its letter C

Step-by-step explanation:

yan Ang answer for me

Answer:

look at the picture .................

P(A n B) = P(A U B) - P(A) - P(B)

= 11/12 - 3/4 - 1/2

= (11 - 9 - 6)/12

= 4/12

= ⅓

Answer: 32000

Step-by-step explanation:

12000 divided by 3 =4000

4000 x 8 =32000

Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

let y and x represent amount of juice and oranges respectively;

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

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Answer:

Step-by-step explanation:

9:15 15:25 6:10

Answer:

15°

Step-by-step explanation:

Answer: A( 148 meters )

Answer:

Choice A

Step-by-step explanation:

Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.

DUBS

Please consider giving a brainliest, because you did promise one ;)

Answer:

18.939394miles

this is the correct answer happy

Answer:

7 - b > 8

Step-by-step explanation:

Answer:

r = -7

Step-by-step explanation:

Slope = Change in y/Change in x

-1 = r - (-5) / 7 - 5

-1 = r + 5/ 2

-2 = r + 5

r = -7

-Chetan K

Answer:

Step-by-step explanation: