On a piece of paper graph y ≥2x

9514 1404 393

Answer:

  5x +2y = 20

Step-by-step explanation:

Suppose 'a' is the x-intercept of the line.

Then the slope is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(a -2)

And the y-intercept is ...

  b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)

The area of the triangle is half the product of 'a' and 'b', so is ...

  A = 1/2ab

  A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)

The area is minimized when the derivative of this is zero.

  A' = 2.5 -10/(a -2)^2 = 0

Solving for 'a' gives ...

  (a -2)^2 = 10/2.5 = 4

  a = 2 + 2 = 4 . . . . . . . . . . . x-intercept

  b = 5 +10/(4 -2) = 10 . . . . . y-intercept

  m = -5/(4 -2) = -5/2 . . . . . . slope

An equation of the line is ...

  y = -5/2x +10 . . . . . slope-intercept form

  5x +2y = 20 . . . . . standard form

__

You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

Answer:

ASA

Step-by-step explanation:

they share the side in the middle (reflexive property) and have two congruent angles

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Step-by-step explanation:

the problem description is incomplete or wrongly copied.

we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.

Answer:

$14,386.25

Step-by-step explanation:

Answer:

240 ft²

Step-by-step explanation:

The shape is composed of a rectangle and a triangle.

The area of the shape = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = base of triangle = 24 ft

h = height of triangle = 12 - 8 = 4 ft

L = length of rectangle = 24 ft

W = width of rectangle = 8 ft

Plug in the values into the equation

Area of the shape = ½*24*4 + 24*8

= 48 + 192

= 240 ft²

Answer:f(g)=2

Step-by-step explanation:

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

Step-by-step explanation:

anything  1-6

Answer:

I'm not graphing, but I can describe the reflection as R', S', T', U':

R' = (-3, 1)

S' = (-2, 0)

T' = (-1, 2)

U' = (-2, 2)

Step-by-step explanation:

y = -1 is the line one unit below the x axis (the x axis is y=0).

To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)

R = (-3, -3), R' = (-3, -2+3) = (-3, 1)

S = (-2, -2), S' = (-2, -2+2) = (-2, 0)

T = (-1, -4), T' = (-1, -2+4) = (-1, 2)

U = (-2, -4), U' = (-2, -2+4) = (-2, 2)

Answer:

the last one is a polynomial

Step-by-step explanation:

Answer:

hvbiknbtUKvfnvghj

vhkbn

bhjn

bhmm

bhnm

hgg

bjj

bhj

Answer:

$14,386.25

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

120 units cost 15000.

so, 1 unit is then the 120th part of the total costs.

price of 1 unit = 15000/120 = 1500/12 = 125

Answer:

B.) -2.5 z + 5 y - 8

Step-by-step explanation:

- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5

combine like terms

- 6 z + 3.5 z + 5 y -5.5 - 2.5

- 2.5 z + 5 y - 8

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

Answer:

(f + g)(4) = 9

Step-by-step explanation:

We have that:

f = {(-1,-3), (1,1),(2,3),(4,6)}

this means that:

f(-1) = -3

f(1) = 1

f(2) = 3

f(4) = 6

and we also know that:

g = {(-1,-1),(1,7),(4,3)}

hich means that:

g(-1) = -1

g(1) = 7

g(4) = 3

Now we want to find:

(f + g)(4)

For the general case of two functions f(x) and g(x)

(f + g)(x) = f(x) + g(x)

Then:

(f + g)(4) = f(4) + g(4)

and we know both of these values, so we can just replace them:

(f + g)(4) = f(4) + g(4) = 6 + 3 = 9

Then we get:

(f + g)(4) = 9

Answer:

5 1/4

Step-by-step explanation:

5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4

Answer:

the required height is 6.7m.

Answer:

The height requirement is 6.7m.

explanation:

Hope it helps have a great day :)

Answer:

24 possible combinations in total,

just 3 that apply

{B,2},{B,4},{B,6}

one easy way to write the possibility is just

3/24 = 1/8 = 12.5%

Answer:

Step-by-step explanation:

hope it may help u

please mark as brainlist

(๑˙❥˙๑)

Answer:

5 Hundredths

Step-by-step explanation:

The place value of 5 in 624.95 in 5 Hundredths or 0.05

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

m^2+10m-24

=m^2+12m-2m-24

=m (m+12)-2 (m+12)

=(m-2)(m+12)

Answer:(m-2)(m+12)

if wrong correct me pls

I hope it helps mate

HAVE A GREAT DAY

#Liliflim