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Naily [24]
3 years ago
5

What is the difference? 4/3-7/9

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0

Answer:

Step-by-step explanation:

4/3-7/9=12/9-7/9=5/9.

AnnyKZ [126]3 years ago
3 0

Answer:

\frac{5}{9}

Step-by-step explanation:

1) Apply the formula of subtraction to the equation.

\frac{4}{3} -\frac{7}{9}

\frac{(4*9)-(7*3)}{(3*9)} =\frac{15}{27}

2) Simplify by dividing the fraction (numerator and denominator) by the GCF. (Greatest Common Factor)

GCF(15,27)=3

\frac{15/3}{27/3} = \frac{5}{9}

<em>Therefore, your answer is:</em>

\frac{4}{3} - \frac{7}{9} = \frac{5}{9}

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Find the missing angle measures?
PIT_PIT [208]

Answer:

x)45

y)45

z)135

Step-by-step explanation:

5 0
2 years ago
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900
lutik1710 [3]

Answer:

y=75x+150

Step-by-step explanation:

Let y represent the number of monitors sold.

Given:

x is the number of years since 1990.

So, for the year 1990, x=0.

For the year 2000, 10 years passed. So, x=10.

Now, monitors sold in 1990 are 150. So, at x=0,y=150

Monitors sold in 2000 are 900. So, at x=10,y=900

Thus, the two points are (0,150) and (10,900).

The slope of a line with points (x_{1},y_{1}) and (x_{2},y_{2})  is given as:

Slope, m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

For the points (0,150) and (10,900), the slope is given as:

Slope, m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75

Now, the y-intercept is the point where x=0. So, the point (0,150) has x value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

y=mx+b

Where, m is the slope and b is the y intercept.

Here, m=75 and b=150.

Therefore, the equation that represents the above data is given as:

y=75x+150

7 0
3 years ago
HELP PLEASE Find the equation of the line<br> The line passes through the points (2, 3) and (-3, -2)
Vladimir79 [104]
Y= x+1



y-3 = (-2-3)/(-3-2) (x-2)
y-3 = 1 (x-2)
y = x-2+3
y=x+1



Mark brainliest please
7 0
3 years ago
1/4 and 1/2 common denominators​
Paha777 [63]

Answer:

4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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