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soldier1979 [14.2K]
4 years ago
6

Divide, simplifying if possible. Write the final answer as a mixed number whenever possible.

Mathematics
1 answer:
tatyana61 [14]4 years ago
8 0
4 \frac{4}{7}-3 \frac{5}{7}= \frac{32}{7}- \frac{26}{7}=     \frac{6}{7}
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Please help ASAP!!!
emmainna [20.7K]
It would be 1 copy, and would cost $42.
39+3(1)=42$
30+12(1)=42$
39+3x, 30+12x are the equations

3 0
3 years ago
2x - 5y = -22<br> x + 7y =27
Sonja [21]

Answer:

-3/2x + 2.5

Step-by-step explanation:

6 0
3 years ago
When x=1/3. what is the value of 3x+3/x
Dvinal [7]
3(1/3) + 3/(1/3) = 1+9
Answer : 10
3 0
2 years ago
Which transformation of AB will produce a line segment A'B' that is parallel to AB?
lyudmila [28]

<em>Options:</em>

<em>Rotation of 180° about point B </em>

<em>Rotation of 90° about point b </em>

<em>Reflection over the x-axis </em>

<em>Translation down 2 units</em>

<em></em>

Answer:

Rotation of 180° about point B

<em></em>

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. B = (x,y)

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (x,y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{y - 0}{x - 0}

m = \frac{y}{x}

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

B' = (-x,-y)

Taking the slope of B'

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (-x,-y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-y - 0}{-x - 0}

m = \frac{-y}{-x}

m = \frac{y}{x}

Notice that the slope of B and B' is the same;

m = \frac{y}{x}

<em>Hence:</em>

<em>Rotation of 180° about point B  answers the question</em>

<em></em>

<em>There's no need to check for other options</em>

8 0
3 years ago
Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
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