what is the slope of the line that contains the points (2,6) and (-1,-6)?

Answer:

S = 30 mph

Step-by-step explanation:

A car’s speed before a sudden stop can be estimated by the formula :

[tex]S=\sqrt{30gk}[/tex]

Here,

S = speed of the car in mph,

g = drag factor, and

k = length of skid mark in feet

If drag factor is 1, k = 30 feet

So,

[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]

Therefore, the correct option is (a) 30 mph.

The definition that defines a line segment is

piece of a line with two endpoints.

Line segment refer to line on a piece which comprises of two points that are extreme to each other.

Therefore, The definition that defines a line segment is piece of a line with two endpoints.

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2nd Option : a piece of a line with two endpoints

A figure formed by joining two points and whose ends are extended to the infinity is called line.

A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.

A line segment is defined as a piece of a line with two endpoints.

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Answer:

3556b - 48

Step-by-step explanation:

−6(14b+10)+4(910b+3)=

-84b-60+3640b+12=

(3640-84)b+(12-60)=

3556b - 48

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

f(x) = 4|x|

Step-by-step explanation:

Answer:

The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

Answer:

c=6.25

Step-by-step explanation:

If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.

In this case your equation is ---

y= –x^2 + 5x

--- and you just need to write in vertex for the equation:

y=a(x–h)^2 + k

y= –(x–2.5)^2 + 6.25

The vertex is (h,k) or (2.5,6.25)

Since the equation is "y=", k=c

or c=6.25

Thank You.

In this question:

Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Line: y = c

Parabola: y = -x^ 2 +5x.

The intersection is at the point:

[tex]-x^2 + 5x = c[/tex]

[tex]-x^2 + 5x - c = 0[/tex]

[tex]x^2 - 5x + c = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -5[/tex].

The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].

Since:

[tex]\Delta = b^{2} - 4ac[/tex]

It means that:

[tex]b^2 - 4ac = 0[/tex]

We use this to find the value of c.

[tex](-5)^2 - 4(1)(c) = 0[/tex]

[tex]4c = 25[/tex]

[tex]c = \frac{25}{4}[/tex]

The value is: [tex]c = \frac{25}{4}[/tex]

A similar question is found at https://brainly.com/question/15211279

Answer:

30

Step-by-step explanation:

5/6x-1/5x=19

19/30x=19

30/19(19/30x)= 30/19(19)

x= 30

Answer:

  5

Step-by-step explanation:

The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.

The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.

The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.

__

If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...

  62 +55 +63 -(16 +15 +22) -2(16) = 95

Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

y= -1 1/3

Decimal form: -1.3

Answer:

1.656 litres

Step-by-step explanation:

1 can = 414ml

4 cans = 414 x 4

4 cans = 1,656ml

1,656ml = 1.656 litres

The amount of broth poured into the soup is 1.656 L.

Given data:

To determine the number of liters of broth Roland poured into the soup, we need to convert the volume of the broth from milliliters (mL) to liters (L).

Given that each can contains 414 mL of chicken broth, and Roland poured 4 cans of broth into the pot, we can calculate the total volume in milliliters:

414 mL/can * 4 cans = 1656 mL

On simplifying the equation:

To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in a liter:

1656 mL / 1000 = 1.656 L

Hence, Roland poured 1.656 liters of broth.

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Answer:

B.

Step-by-step explanation:

The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.

Answer:obtuse

Step-by-step explanation: it’s 180 degrees

AB have a 90° angle with BC, so the angles ABD + CBD = 90

(7x - 9)° + 4x° = 90°

7x + 4x = 90 + 9

11x = 99

x = 99/11

x = 9

So the angles are:

7x - 9 -> 7.9 - 9 = 54°

4.9 = 36°

Answer:

m<CBD equals 54

Step-by-step explanation:

Since that is a right angle do (7x-9)+(4x)=90

=11x-9=90

=11x=99

x=9

CBD=7x-9

7(9)-9=54

Hope this helps

Answer:

A

Step-by-step explanation:

Substitute n = 10 into the explicit formula , that is

f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A

Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

Answer:

Positive

Step-by-step explanation:

Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.

729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9

1000 is the cube of 10

x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into  

(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)

729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000

729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000

729x¹⁵ + 1000

Answer:

-3/4

Step-by-step explanation:

We can find the slope by using

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

    = (0-3)/(5-1)

   = -3 / 4

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]

Answer:The answer is B

Step-by-step explanation:

Answer:

Basketball players are normally taller so it would not be accurate

Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body.  Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).  

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1.

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

    = (90-80)/(0-1)

     = 10/-1

   =-10

The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

4.

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

    = (1000-0)/(3-0)

     = 1000/3

   =1000/3

The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

Step-by-step explanation:

Let 'm' be slope

HAWK DIVING TOWARDS PREY:

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

= (90 - 80) / (0 - 1)

= 10 /- 1

= - 10

This is not proportional because it doesn't to go through the point (0, 0)

BOOK SALES:

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

= (1000 - 0) / (3 - 0)

= 1000/3

This is proportional because it goes through the point (0, 0)

Hope this helps!

Anne: 7x^7 + 6x^5 – 3x^3 + 8x

Answer:

[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]

Given:

[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]

To Find:

[tex] (f \times g)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]

Answer:

[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]

Step-by-step explanation:

Foil:

x times 2x

2 times 3x

x times 5

2 times 5

then add them all up

Answer:

C.

Step-by-step explanation:

x= 4, y = 12

A . y = 6x

   12 = 6*4

   12 = 24 false

C. y = 3x

  12 = 3*4

  12 = 12 true

Answer:

D

Step-by-step explanation:

i just did it

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

y in equation 1, since you just

-4x + y = 6

add 4x to both sides to get

y = 4x + 6

while for the rest of the variables in both equations, you need at least two steps

Thus, the answer is B

Answer:

B. The easiest to solve for is Y in the first equation.

Step-by-step explanation:

Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.

Answer:

22.2 pounds of water are in the baag

Step-by-step explanation:

1 * 0.74 = .74

.74 * 30 = 22.2