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eduard
3 years ago
9

Simplify and state restrictions.

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

We have the equation

\frac{4*a^2*b^2*c}{-3*a*b} + \frac{8c^2}{15}

First, we want the same denominator in both equations, so we can multiply in the left by 5, and in the right bt -ab, and now we have:

\frac{20*a^2*b^2*c}{-15*a*b} + \frac{-ab8c^2}{-15ab} = \frac{-20*a^2*b^2*c +8*a*b*c^2}{15*a*b}

Now we have all in the same rational.

The only restriction in this type of equation is that the denominator never can be zero.

so 15*a*b = 0 is a restriction:

This means that a can not be zero, and b can not be zero.

You might be interested in
Quadrilateral with E(-2,-7),F(4,-3),G(0,1),and H(-4,-2);scale factor 0.5
Ulleksa [173]

Answer:

New scale will be

E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1). This is one-half the original scale

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"Given the Quadrilateral with vertices E(-2,-7),F(4,-3),G(0,1),and H(-4,-2), find the coordinates of the image after a dilation having a scale factor of 0.5."

Dilation factor is the same as scale of 1/2 i.e 1:2. Scale of 1:2 means that the quadrilateral has been reduced by one-half. We need to know the new vertices of the quadrilateral after being reduced by one-half.

Given the original axis before dilation

E (x1, y1) = E(-2, -7)

F (x2, y2) = F(4, -3)

G (x3, y3) = G(0, 1)

H (x4, y4) = H(-4, -2)

After dilation by scale factor of 0.5, the axis will result into one half of its original scale as shown:

E (0.5x1, 0.5y1) = E(-2/2, -7/2)

F (0.5x2, 0.5y2) = F(4/2, -3/2)

G (0.5x3, 0.5y3) = G(0/2, 1/2)

H (0.5x4, 0.5y4) = H(-4/2, -2/2)

New scale will be:

E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1)

Check the attachment for diagram.

4 0
3 years ago
If b-a=c-b=d-c, what is d-b
Ber [7]
I think it is d-b=c-a, I'm not really sure
3 0
4 years ago
Find the area of figure 1.<br><br> 8 units2<br> 14 units2<br> 10 units2<br> 12 units2
sp2606 [1]

Answer:

10 units ^2

Step-by-step explanation:

Area 1:

A = lw

   = 2 * 5 = 10

3 0
3 years ago
Read 2 more answers
9 of 10
Aleks04 [339]

\frac{3}{10}

Answer:

^^

Step-by-step explanation:

I just pressed 27/90 on the calculator hahahha

6 0
3 years ago
Read 2 more answers
Solve the equation <br>5x - 4 = 4x​
Natasha_Volkova [10]

Answer:

x = 4

Step-by-step explanation:

5x - 4 = 4x

- 5x       -5x

-4 = -x

*-1    *-1

x = 4

8 0
4 years ago
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