A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain or show your reasoning.

The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.

Here we want to graph:

g(x) = 5*|x - 6| + 2

First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.

From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).

The graph of the function can be seen below.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/3381225

Answer:6,2 & 7,7

Step-by-step explanation:

Answer:

(10.5,14) and (15,3.5)

Step-by-step explanation:

The ending balance would be $2,536.48

Answer:

the person above has the answer:>

5 is 9 away from 14

so 2/3rds of the way would be 6 away from 5

so that'd be 11

The two equations with slope and y-intercept are compared as the lines may be intersecting, parallel, and coincident.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Let the two equations in the form of slope and y-intercept.

[tex]\rm L_1: y = m_1x +c_1\\\\L_2: y = m_2x +c_2[/tex]

There are three cases are as follows;

Case 1 - If lines are intersecting then the slope of both equations will be different.

Case 2 - If lines are parallel then the slope of lines are same but the intercept will be different.

Case 3 - If lines are coincident their slope and the intercept will be the same.

More about the linear system link is given below.

https://brainly.com/question/20379472

Step-by-step explanation:

Player A persentage of success =(320/400)*100=80%

Player B persentage of success =(300/350)*100=85. 741

A ratio =8/10

B ratio =8.5741/10

Player b is the better player

Answer:

I would say its D

Step-by-step explanation:

10:9:10 is the original ratio

It gets turned into 1:1:2, making it very distorted

Answer:

Area of a triangle

Step-by-step explanation:

A= [tex]\frac{1}{2}[/tex]bh

A: area

b: base

h: height

hope this helps..

Answer:

3 .62 lt

4 4300 g

5 1.78 mt

6 .0031 g

7 500 lt

8 .083 g

its 150 x 13 or atleast the closest estimate so its either 150 x 13 or 14

Step-by-step explanation:

multipliy by 150 x 13 or 14

Answer:

D

Step-by-step explanation:

Also do we have to show our work?

Answer:

384

Step-by-step explanation:

a= 6a^2

a = 8

A = 6*8^2 = 6*64 = 384 in

A = 384 in

Answer:

a) 80 ml

b) 450 cm³

Step-by-step explanation:

A) solution

1 cm³ = 1 ml

80 cm³ = 80 ml

B) solution

1 ml = 1 cm³

450 ml = 450 cm³

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

Answer:

7/25

Step-by-step explanation:

working out above.

To find the probability = Times BB RR and GG

then at the end add them all together.

'n!' is a factorial.

A factorial is equal to [tex]n*(n-1)*(n-2)*(n-3)*... * 2 * 1[/tex].

Since in this case n = 6, then:

      [tex]6! = 6 * 5 * 4 * 3 * 2 *1 = 720[/tex]

Thus 6! = 720.

Hope it helps!

Answer:

options 4 and 6 I believe

Answer:

m = 5

Step-by-step explanation:

[tex] \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5[/tex]

Answer:

m = 5

Step-by-step explanation:

Cross product to get: 10(m-5) = 8(m-5)

Solve for m:

10m-50 = 8m-40

10m - 8m = -40 + 50

2m = 10

m = 10/2

m = 5

 Answer: the answer to this question is 49

Step-by-step explanation:  because (a+b)2 = a2 + 2ab +b2 = Perfect square trinomial

Answer:

51.63 m²

Step-by-step explanation:

[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]

[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]

[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]

Given:

[tex]\implies \textsf{area}=5 \times 6=30[/tex]

Total area = area of semicircle + area of triangle + area of rectangle

                 = 14.13 + 7.5 + 30

                  = 51.63 m²

Solution:

Step-1: Find the area of the triangle.

[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]

[tex]\text{Area of triangle} = 3 \times 2.5[/tex]

[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]

Step-2: Find the area of the rectangle.

[tex]\text{Area of rectangle} = \text{LB}[/tex]

[tex]\text{Area of rectangle} = (6)(5)[/tex]

[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]

Step-3: Find the radius of the semi-circle.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]6 \ \text{m = 2(Radius)}[/tex]

[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]

[tex]3 \ \text{m} = \text{Radius}[/tex]

Step-4: Find the area of the semi-circle.

[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]

[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]

[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]

Step-5: Find the area of the figure.

[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]

[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]

[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]

The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),

C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².

The shape of the park = A square

The vertices of the park = ABCD

The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)

The length of side AB = 3 - 0 = 3

Length of side BC = 3 - 0 = 3

Length of side CD = 3 - 0 = 3

Length of side AD = 3 - 0 = 3

Therefore, the park is a square with side length, s = 3 units

The area of a square, A = Side × Side = s²

The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²

Learn more about finding the area of geometric shapes here:

https://brainly.com/question/316492

Answer:

x = y = 102.5°

Step-by-step explanation:

x and y are congruent.

the sum of the 4 angles in a kite = 360°

subtract the 2 given angles from 360°

360° - 95° - 60° = 360° - 155° = 205° , then

x = y = 205° ÷ 2 = 102.5°

Answer:

d.

[tex]3 {c}^{2} + 8c = 3200[/tex]

Answer:

A

Step-by-step explanation:

becuase the 3 is negtive and the 4/5 so it A

Answer:

[tex]a)\ y=-\frac{4}{5}x -3[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}[/tex]

[tex]y=mx+b\\y=-\frac{4}{5}x +b[/tex]

(-5, 1)

[tex]y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b[/tex]

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

Check your answer:

[tex]y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1[/tex]

This statement is true

Hope this helps!

first find perimeter and area of base

then, find tsa of triangular prism

as done in the solution above!

Answer:

[tex]4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^{2} + {x}^{2} {y}^{2} + 2 {y}^{2} + 8 \\ {x}^{2} (4 + {y}^{2} ) + 2(y^{2} + 4) \\ ({x}^{2} + 2)(y^{2} + 4)[/tex]

Answer:

(4 + y^2) ( x^2 + 2)

Step-by-step explanation:

irst rearrange the terms

4x^2 + x^2 y^2 + 2y^2 + 8

then factorise

x2 ( 4 + y^2) + 2 ( y^2 + 4)

group like terms together and insert the remaining terms into a bracket

(4 + y^2) ( x^2 + 2)

Answer: y = mx + b

Step-by-step explanation:

i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph