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1 year ago

What are the steps to (5xy^3)^2(xy)^4?

Mathematics

1 answer:

trapecia [35]1 year ago

3 0

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

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3 years ago

Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph

Nastasia [14]

ANSWER:

$y=2x-1$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}$

The slope can be calculated as follows:

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

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$m=\frac{1-7}{1-4}=\frac{-6}{-3}=2$

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

$\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}$

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5 0

10 months ago

I need help getting the answer for the 1st question

Karo-lina-s [1.5K]

If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

3 0

2 years ago