In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

Answer:

1 cubic meter equals 1000 liters

Step-by-step explanation:

i think this is right

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

Answer:

Let x=numerator,

y=denominator.

y=x+7 - - - - - (i)

(x+3)/(y+3) = 2/3

(Cross multiply)

3(x+3)=2(y+3)

3x+9=2y+6

(subtract 9 from both sides)

3x+9–9=2y+6–9

3x=2y+6–9

3x=2y-3 - - - - - - - (ii)

(substitute the value of equation (i) into (ii))

3x=2(x+7)-3

3x=2x+14–3

3x=2x+11

(subtract 2x from both sides)

3x-2x=2x+11–2x

x=11.

(substitute the value of x into equation (i))

y=7+11

y=18.

so numerator =11,

numerator =11,denominator = 18.

So original fraction is 11/18.

3/11th of original fraction is

= 11/18 x 3/11

= (11x3)/(18x11)

= 3/18

=1/6.

Answer = 1/6.

Answer:

Step-by-step explanation:

let numerator be x and denominerator be y

according to the question equation is

1+x /7+x+6=1/2( do cross multiplication)

7+x+6=2(1+x)

13+x=2+2x

13-2=2x-x

11=x

numerator =x+1=11+1=12

therefore numerator is 12

for denominerator

substitute the value of x in (7+x+6)

=7+11+6

24

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

The correct answer is 90

Answer:

Step-by-step explanation:

The area is the product of two dimensions.

If the ratio of sides is k, then the ratio of areas is k²

We have:

Correct choice is C

Answer:

49 minutes

Step-by-step explanation:

Volume

v = πr²h

v = π(2.5²)4

v = 78.5 ft³

--------------------------

Gallons needed

78.5 * 7.5 = 588.75 gallons

----------------------

Time to fill

588.75 / 12 = 49.0625

Rounded

49 minutes

Answer:

the correct answer is 7.78

Answer:

It is 603 units greater

Step-by-step explanation:

Given

See attachment for table

Average rate of change over (a,b) is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For interval [7,9], we have:

[tex][a,b] = [7,9][/tex]

So, we have:

[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

From the table:

[tex]f(9) = 3878[/tex]

[tex]f(7) = 1852[/tex]

So:

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

[tex]Rate = \frac{3878 - 1852}{2}[/tex]

[tex]Rate = \frac{2026}{2}[/tex]

[tex]Rate = 1013\\[/tex]

For interval [4,6], we have:

[tex][a,b] = [4,6][/tex]

So, we have:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = 1178[/tex]

[tex]f(4) = 358[/tex]

So:

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

[tex]Rate = \frac{1178 - 358}{2}[/tex]

[tex]Rate = \frac{820}{2}[/tex]

[tex]Rate = 410[/tex]

Calculate the difference (d) to get how much greater their rate of change is:

[tex]d = 1013 - 410[/tex]

[tex]d = 603[/tex]

Answer:

603

Step-by-step explanation:

i took it

9514 1404 393

Answer:

  A, F

Step-by-step explanation:

Points A(-1, 0) and F(-3, 8) lie on the 2nd line. (Its equation is 4x+y=-4.)

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

Leearn more here: https://brainly.com/question/13805464

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+10x=12x

12x=-21

x=-1.75

Answer:

x=-7,-3

Step-by-step explanation:

x2+10x+21

(x+7)(x+3)

x=-7,-3

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

Answer:

g=30y^2+6y^2

Step-by-step explanation:

30 years left after six were taken

Answer:

20meter per second is tw correct answer

20 m/s

Step-by-step explanation:

1km/h = 1000m/3600s = 5m/18s

⇒ 72 × 5 ÷ 18 = 20 (m/s)

Answer:

If the equation is actually typed like that the answer will be

3-2x

If is typed like this 3-2x-3+3=

It will be

-2x+3

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Answer:

(6⋅2)−(9/3)

Simplify each term.

12−3

Subtract 3 from 12.

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). Given equation is,

   2x² - 3x = 6

   2x² - 3x - 6 = 0

   To find the solutions of the equation we will use quadratic formula,

   x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

   Substitute the values of a, b and c in the formula,

   a = 2, b = -3 and c = -6

   x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]

   x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]

   x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]

   x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]

   Therefore, there are two real solutions.

2). Given equation is,

    x² + 1 = 2x

    x² - 2x + 1 = 0

    (x - 1)² = 0

     x = 1

     Therefore, there is one real solution of the equation.

3). 2x² + 3x + 2 = 0

     By applying quadratic formula,

     x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

      x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]

      x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]

      x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]

      x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]

      Therefore, there are two complex (non real) solutions.

Answer:

58

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

Answer:

60 Degrees

Step-by-step explanation:

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