Find the slope of the line that passes through (8,6) and (4,15)

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

Answer:

(-2,-3)

Step-by-step explanation:

I took the test and got it wrong at first but seen the correct answer when I looked at my results.

The turning point of the function f(x) = |x+3| -2 will be (-3, -2).

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).

Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).

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Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

Answer:no

Step-by-step explanation:it will be 0.425

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

Answer:

1 2/7 is bigger

Step-by-step explanation:

Answer:

C, or the third one

Step-by-step explanation:

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

Answer:

B

i think i need 20 words so B

Answer:

B

Step-by-step explanation:

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:  

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ f (-1) = 8 and f (5) = 6

Now,

Let the linear function is,

⇒ f (x) = ax + b

Substitute f (-1) = 8 and f (5) = 6 in above equation as;

⇒ f (-1) = a × -1 + b

⇒ 8 = - a + b   ... (i)

And, ⇒ f (5) = a × 5 + b

⇒ 6 = 5a + b   ... (ii)

Solve (i) and (ii) as;

a = - 1/3 and b = 23 / 3

So, The linear equation become;

⇒ f (x) = ax + b

⇒ f (x) = -1/3x + 23/3

Thus, The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

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Answer:

0

Step-by-step explanation:

As evident by the graph, nowhere does the line have any sort of slope. So, the slope must be zero.

y = mx + b

y = 2 (m, slope, is zero and b = 2, the y-intercept)

Answer:

$65

Step-by-step explanation:

30% of 50 is 15, so 50+15=65.

Answer:

Step-by-step explanation:

50*30%= 15 more so it'll be 65

Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

Answer:

Step-by-step explanation:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

Answer:

The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ A line passes through points (2, -1) and (-3, 3)

∴ x1 = 2 ad y1 = -1

∴ x2 = -3 and y2 = 3

→ Use the rule of the slope above to find the slope of the line

∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]

∴ m = [tex]-\frac{4}{5}[/tex]

→ Substitute the value of m in the form of the equation above

∴ y =  [tex]-\frac{4}{5}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates of one  

   point of the given points

∵ x = 2 and y = -1

∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b

∴ -1 = [tex]-\frac{8}{5}[/tex] + b

→ Add [tex]\frac{8}{5}[/tex] t both sides

∵ -1 + [tex]\frac{8}{5}[/tex] = b

∴ [tex]\frac{3}{5}[/tex] = b

→ Substitute the value of b in the equation

∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

∴ The equation of the line is y =  [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]

Answer: false

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

Answer:

c and a

Step-by-step explanation:

Answer:

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

Answer:

Trick question they both ran equal distance

Step-by-step explanation:

Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.

More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.

This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.

Answer:

C

Step-by-step explanation:

Answer:

This is true because 6 does infact equal 6

Step-by-step explanation:

First see if the solution is true by seeing if x = x

So solve both sides

4-3+5 = -6+8+4

1+5 = 2+4

6 = 6