Given the graph below, which of the following statements is true?

On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2).

Answer:

The expression [tex]9.8x+11.3y+9.9z[/tex] represents the perimeter, in centimeters of the obtuse triangle.

Step-by-step explanation:

An obtuse triangle is a triangle where one of the internal angles is obtuse (greater than 90 degrees).

The perimeter of a triangle is the total distance around the outside of a triangle, which can be found by adding together the length of each side. Or as a formula:

                                                    [tex]P=a+b+c[/tex]

where:

a, b and c are the lengths of each side of the triangle.

We know that the triangle has side lengths of [tex]a = 5.5x + 6.2y[/tex], [tex]b= 4.3x + 8.3z[/tex] and [tex]c=1.6z + 5.1y[/tex] centimeters. Therefore, the perimeter is

[tex]P=a+b+c\\P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z + 5.1y)\\\\\mathrm{Group\:like\:terms}\\P=5.5x+4.3x+6.2y+5.1y+8.3z+1.6z\\\\\mathrm{Add\:similar\:elements:}\\P=9.8x+11.3y+9.9z[/tex]

The required probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

To find the probability of choosing the matching pair of socks, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 10 individual socks in the drawer, and only one matching pair. When you randomly pick 2 socks, there are C(10, 2) = 45 possible outcomes, as you are choosing 2 socks out of 10.

The favorable outcome is when you choose the matching pair, which can occur in only one way.

Therefore, the probability of choosing the matching pair of socks is:

P(matching pair) = favorable outcomes / total outcomes
                           = 1 / 45 ≈ 0.0222

So, the probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

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Answer:

2√10

Step-by-step explanation:

The length of this line segment lies along the hypotenuse of a right triangle.  As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6.  Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:

length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10

Answer:

4p - 2

4(8) - 2

32 - 2 = 30

This is because you have to substitute the value of the number they give into the equation. This will give you the number of 4 to be multiplied by 8. This is because the x is the number 8.

Hope this helped!

Answer:

What is the value of 4p − 2 when P 8?

the answer is 30.

Step-by-step explanation:

Answer:

7 nickels, 12 dimes

Step-by-step explanation:

n+d= 19

5n+10d= 155 ⇒ n+2d= 31

comparing the 2 equations we get

d=12, then n= 7

Answer:

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

Answer:

[tex]y-6=2\,(x-4)[/tex]

or in slope y-intercept form :

[tex]y=2x-2[/tex]

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   [tex](x_0,y_0)[/tex]  it goes through:

[tex]y-y_0=m\,(x-x_0)[/tex]

In our case the equation becomes:

[tex]y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\[/tex]

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

[tex]y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2[/tex]

Answer:

x=0

so the roots are (0,0)

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

Answer:

D.strong

Step-by-step explanation:

Answer:

strong

Step-by-step explanation:

definitely not parabolic

pretty positive (not negative)

pretty strong (not weak)

I guess strong

(don't be angry if it is wrong, I'm not a regression and best fit expert)

Answer:

an obtuse angle is an angle more than 90 degrees but less than 180 degrees

Step-by-step explanation:

:)

Answer:

24 units squared or D

Step-by-step explanation:

The Surface Area of a cube is 6(x²) x is the side length.

x=2

6(4)=24

The value of surface area of cube is,

⇒ SA = 24 units²

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Side of cube = 2 units

Now, We know that;

the surface area of the cube with side 'a' is,

⇒ SA = 6a²

Hence, We get;

the surface area of the cube is,

⇒ SA = 6 × 2²

⇒ SA = 24 units²

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Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

Answer:

  yes

Step-by-step explanation:

One such function is ...

  f(x) = 0

No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.

Answer:

  B.  $257.33

Step-by-step explanation:

Interest will be charged on the New Balance after the Month 7 payment, $257.33.

Answer:

(0,0)

Step-by-step explanation:

The Graph shows that 0,0 is the first x-y value which is vertex

Answer:c

Step-by-step explanation:

Answer:

A. It provides health insurance for people who are retired or disabled.

Step-by-step explanation:

FICA stands for Federal Insurance Contributions Act, which is a law. It is a compulsory tax from the payroll of all employees in the United State to provide health insurance for retired as well as disabled people. It has a definite percentage with no conditional or exemption deductions to assist the government to fund social security and medicare.

This make it possible for the government to cater for the two sects of people  in the society that are registered easily.

Answer:

{ 11 , 19 , 41 , 61 , 89 } is only the two digits number having both their non-prime.

Step-by-step explanation:

Answer:

V = 615.44 mm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The diameter is 14 so the radius is 14/2 = 7

V = 3.14 ( 7)^2 4

V = 615.44 mm^3

Answer:

Answer:

V = 615.44 mm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The diameter is 14 so the radius is 14/2 = 7

V = 3.14 ( 7)^2 4

V = 615.44 mm^3

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Because x = 0

Answer:

The amount remaining after 24 hours is 17.5 milligrams.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at a time

The equation is

Rate=k*amount remaining at(time)

Where k = constant of proportionality.

So we don't know the value of k, let's find it.

7= k(70)(6)

K= 1/60

Amount remaining after 24 hours

7= 1/60 * x* (24)

(60*7)/24= x

17.5 = x

The amount remaining after 24 hours is 17.5 milligrams.

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid has 4 triangular sides and a rectangular base

mine was Square, Pyramid

that is what my answer was.

Hope you have a Blessed Day

God is with you.

Answer:

Hi there!

The distance L between two points (x1, y1) and (x2, y2) in two-dimensional plane could be calculated by:

L = sqrt((y2 - y1)^2 + (x2 - x1)^2)

The distance between two points (-5, 4) and (3, -2) can therefore be calculated by:

L = sqrt( (-2 - 4)^2 + (3 - -5)^2) = sqrt( 6^2 + 8^2) = sqrt(36 + 64) = sqrt(100 ) = 10

=> Option C is correct.

Hope this helps!

:)

Answer:

Step-by-step explanation:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

Answer:

9

Step-by-step explanation:

f(x) = x•x

f(-3) = -3*-3

f(-3)= 9

Answer:

John is traveling 5 mph

Trey is traveling 12 mph

Step-by-step explanation:

we will concept of speed distance and time where

distance = speed * time

Let the speed of john be x miles per hour

if, Trey travels 7 mph faster than John

then speed of trey = (x+7) miles per hour

Time of travel for both of them  = 5 hours

distance traveled by john in 5 hours =  x* 5 = 5x miles

distance traveled by john in 5 hours =  (x+7) * 5 = (5x + 35)miles

total distance covered by them = 5x miles + (5x + 35)miles = (10x+35) miles

it is given that after 5 hours they were 85 miles apart, thus the distance above calculated should be equal to 85 miles

10x+35 = 85

=>10x = 85 -35

=> 10x = 50

=> x = 50/10

=> x = 5

Thus, speed of john is 5 miles per hour

speed of Trey is: x+7= 5 + 7 = 12  miles per hour

Answer:

sum of the series = 7182  

Step-by-step explanation:

This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term  and the previous term is -22. Let us find the number of terms.

common difference = 564 - 586 = -22

number of terms = n

nth term = a + (n - 1)d

212 = 586 + (n - 1)-22

212 = 586 - 22n + 22

212 - 586 - 22 = -22n

-396 = -22n

divide both sides by -22

n = -396/-22

n = 18

Using the formula for sum

sum of nth term = n/2(a + l)

where

l = last term

a = first term

n = number of term

sum of nth term = n/2(a + l)

sum of nth term = 18/2(586 + 212)

sum of nth term = 9(798 )

sum of the series = 7182  

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a)  Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

                     16(t-3)^2 = 288  

       After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

        Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

                        -16(t-3)^2 = - 162

      or                (t - 3)^2 = 10.125, or

                            t - 3 =  ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

Answer:

add all angles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

Multiply each of the coordinates by the dilation factor:

  A' = (1/2)A = 1/2(6, 4) = (3, 2)

Point A gets transformed to point A'(3, 2), matching choice B.