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Svetllana [295]
3 years ago
9

The ratio of plates to napkins is 18:72 Write. The ratio in its simplest form

Mathematics
1 answer:
RideAnS [48]3 years ago
7 0

The ratio in simplest form would be 2:8 because you divide both 18 and 72 by 9 to get 2 and 8

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answer
x > -60


5)
5z >= - 75
  z >= -75/5
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answer
  z >= -15
7 0
2 years ago
The first 3 figures in a pattern are shown.
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4 0
2 years ago
Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo
Semmy [17]

Answer:

y =\dfrac{12}{5}x + 22

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}

          = \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}

\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}

                                                   \sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}

Equation of the required line: y = mx + b

       y =\dfrac{12}{5}x+b

The line passes through (-5 , 10). Substitute in the above equaiton,

         10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\

 10 + 12 = b

        b   = 22

Equation of the line:

  y =\dfrac{12}{5}x + 22

3 0
2 years ago
A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?
Pani-rosa [81]
Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12




if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64


6 0
3 years ago
Solve for x x-3/4=x/10
BARSIC [14]
Given  <span>x-3/4=x/10  find the LCD.  It is 20, as both 4 and 10 divide evenly into 20.

Then you have 20x - 15 = 2x, or 18x = 15, or x = 15/18, or x =5/6 (answer).</span>
3 0
3 years ago
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